From af6e5e75fd22255f1026c64a675e3db1318e2e65 Mon Sep 17 00:00:00 2001
From: Andrew Heather <>
Date: Mon, 16 Dec 2024 20:46:29 +0000
Subject: [PATCH] INT: S-A turbulence model - added enhanced DDES shielding
function
Activated using the [optional] 'shielding' keyword having the options:
- standard: [default] same as v2406 and earlier
- ZDES2020: new option based on the reference:
Deck, S., Renard, N. (2020).
Towards an enhanced protection of attached boundary layers in hybrid
RANS/LES methods.
Journal of Computational Physics, 400, 108970.
DOI:10.1016/j.jcp.2019.108970
Contribution from Marian Fuchs at UpstreamCFD GmbH
Integrated by Andrew Heather OpenCFD Ltd.
---
.../SpalartAllmarasDDES/SpalartAllmarasDDES.C | 161 +++++-
.../SpalartAllmarasDDES/SpalartAllmarasDDES.H | 38 +-
.../pimpleFoam/LES/NACA4412/0.orig/U | 54 ++
.../pimpleFoam/LES/NACA4412/0.orig/k | 50 ++
.../pimpleFoam/LES/NACA4412/0.orig/nuTilda | 49 ++
.../pimpleFoam/LES/NACA4412/0.orig/nut | 49 ++
.../pimpleFoam/LES/NACA4412/0.orig/omega | 50 ++
.../pimpleFoam/LES/NACA4412/0.orig/p | 48 ++
.../pimpleFoam/LES/NACA4412/Allclean | 11 +
.../pimpleFoam/LES/NACA4412/Allrun | 15 +
.../pimpleFoam/LES/NACA4412/Allrun-parallel | 19 +
.../pimpleFoam/LES/NACA4412/Allrun.pre | 40 ++
.../pimpleFoam/LES/NACA4412/README.md | 20 +
.../constant/geometry/NACA4412.stl.gz | Bin 0 -> 627488 bytes
.../LES/NACA4412/constant/transportProperties | 22 +
.../constant/turbulenceProperties.template | 34 ++
.../pimpleFoam/LES/NACA4412/plot | 147 +++++
.../LES/NACA4412/system/blockMeshDict | 320 +++++++++++
.../LES/NACA4412/system/columnAverage | 32 ++
.../LES/NACA4412/system/controlDict | 61 +++
.../LES/NACA4412/system/decomposeParDict | 26 +
.../LES/NACA4412/system/fieldAverage | 54 ++
.../LES/NACA4412/system/forceCoeffs | 43 ++
.../pimpleFoam/LES/NACA4412/system/fvSchemes | 73 +++
.../pimpleFoam/LES/NACA4412/system/fvSolution | 75 +++
.../pimpleFoam/LES/NACA4412/system/sampleDict | 98 ++++
.../pimpleFoam/LES/NACA4412/system/volFields | 68 +++
.../pimpleFoam/LES/NACA4412/system/wallFields | 31 ++
.../validation/cfdData/cfl3d_cfupper_sa.dat | 254 +++++++++
.../validation/cfdData/cfl3d_cp_sa.dat | 515 ++++++++++++++++++
.../cfdData/cfl3d_vel_sa_xbyc0.68.dat | 201 +++++++
.../cfdData/cfl3d_vel_sa_xbyc0.73.dat | 201 +++++++
.../cfdData/cfl3d_vel_sa_xbyc0.79.dat | 201 +++++++
.../cfdData/cfl3d_vel_sa_xbyc0.84.dat | 201 +++++++
.../cfdData/cfl3d_vel_sa_xbyc0.90.dat | 201 +++++++
.../cfdData/cfl3d_vel_sa_xbyc0.95.dat | 201 +++++++
.../NACA4412/validation/exptData/exp_cp.dat | 55 ++
.../validation/exptData/exp_vel_xbyc0.68.dat | 158 ++++++
.../validation/exptData/exp_vel_xbyc0.73.dat | 158 ++++++
.../validation/exptData/exp_vel_xbyc0.79.dat | 158 ++++++
.../validation/exptData/exp_vel_xbyc0.84.dat | 158 ++++++
.../validation/exptData/exp_vel_xbyc0.90.dat | 158 ++++++
.../validation/exptData/exp_vel_xbyc0.95.dat | 156 ++++++
43 files changed, 4658 insertions(+), 6 deletions(-)
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/U
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/k
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/nuTilda
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/nut
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/omega
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/p
create mode 100755 tutorials/incompressible/pimpleFoam/LES/NACA4412/Allclean
create mode 100755 tutorials/incompressible/pimpleFoam/LES/NACA4412/Allrun
create mode 100755 tutorials/incompressible/pimpleFoam/LES/NACA4412/Allrun-parallel
create mode 100755 tutorials/incompressible/pimpleFoam/LES/NACA4412/Allrun.pre
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/README.md
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/constant/geometry/NACA4412.stl.gz
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/constant/transportProperties
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/constant/turbulenceProperties.template
create mode 100755 tutorials/incompressible/pimpleFoam/LES/NACA4412/plot
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/system/blockMeshDict
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/system/columnAverage
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/system/controlDict
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/system/decomposeParDict
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/system/fieldAverage
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/system/forceCoeffs
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/system/fvSchemes
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/system/fvSolution
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/system/sampleDict
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/system/volFields
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/system/wallFields
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_cfupper_sa.dat
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_cp_sa.dat
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.68.dat
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.73.dat
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.79.dat
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.84.dat
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.90.dat
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.95.dat
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_cp.dat
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.68.dat
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.73.dat
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.79.dat
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.84.dat
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.90.dat
create mode 100644 tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.95.dat
diff --git a/src/TurbulenceModels/turbulenceModels/DES/SpalartAllmarasDDES/SpalartAllmarasDDES.C b/src/TurbulenceModels/turbulenceModels/DES/SpalartAllmarasDDES/SpalartAllmarasDDES.C
index e30caec019b..fd5470aead4 100644
--- a/src/TurbulenceModels/turbulenceModels/DES/SpalartAllmarasDDES/SpalartAllmarasDDES.C
+++ b/src/TurbulenceModels/turbulenceModels/DES/SpalartAllmarasDDES/SpalartAllmarasDDES.C
@@ -36,6 +36,19 @@ namespace Foam
namespace LESModels
{
+template<class BasicTurbulenceModel>
+const Foam::Enum
+<
+ typename Foam::LESModels::
+ SpalartAllmarasDDES<BasicTurbulenceModel>::shieldingMode
+>
+Foam::LESModels::SpalartAllmarasDDES<BasicTurbulenceModel>::shieldingModeNames
+({
+ { shieldingMode::standard, "standard" },
+ { shieldingMode::ZDES2020, "ZDES2020" },
+});
+
+
// * * * * * * * * * * * * Private Member Functions * * * * * * * * * * * * //
template<class BasicTurbulenceModel>
@@ -44,9 +57,61 @@ tmp<volScalarField> SpalartAllmarasDDES<BasicTurbulenceModel>::fd
const volScalarField& magGradU
) const
{
- return
- 1
- - tanh(pow(this->Cd1_*this->r(this->nuEff(), magGradU, this->y_), Cd2_));
+ const volScalarField r(this->r(this->nuEff(), magGradU, this->y_));
+
+ tmp<volScalarField> tfd = 1 - tanh(pow(Cd1_*r, Cd2_));
+
+ switch (shielding_)
+ {
+ case shieldingMode::standard:
+ {
+ return tfd;
+ }
+ case shieldingMode::ZDES2020:
+ {
+ auto maxEps = [](const volScalarField& fld, const scalar eps){
+ return max(fld, dimensionedScalar(fld.dimensions(), eps));
+ };
+
+ volScalarField& fdStd = tfd.ref();
+ const auto& nuTilda = this->nuTilda_;
+ const volVectorField& n = wallDist::New(this->mesh_).n();
+
+ const volScalarField GnuTilda
+ (
+ Cd3_*maxEps(fvc::grad(nuTilda) & n, Zero)
+ / (maxEps(magGradU, SMALL)*this->kappa_*this->y_)
+ );
+
+ volScalarField fdGnuTilda(1 - tanh(pow(Cd1_*GnuTilda, Cd2_)));
+ const volScalarField GOmega
+ (
+ - (fvc::grad(mag(fvc::curl(this->U_))) & n)
+ * sqrt(nuTilda/maxEps(pow3(magGradU), SMALL))
+ );
+ const volScalarField alpha((7.0/6.0*Cd4_ - GOmega)/(Cd4_/6.0));
+ const volScalarField fRGOmega
+ (
+ pos(Cd4_ - GOmega)
+ + 1.0
+ /(1 + exp(min(-6*alpha/max(1 - sqr(alpha), SMALL), scalar(50))))
+ *pos(4*Cd4_/3.0 - GOmega)*pos(GOmega - Cd4_)
+ );
+
+ // Use more conservative fP2-function in case switch is true;
+ // otherwise use simplified formulation
+ if (usefP2_)
+ {
+ fdGnuTilda *=
+ (1.0 - tanh(pow(Cd1_*betaZDES_*r, Cd2_)))
+ / maxEps(fdStd, SMALL);
+ }
+
+ fdStd *= 1 - (1 - fdGnuTilda)*fRGOmega;
+ }
+ }
+
+ return tfd;
}
@@ -138,7 +203,15 @@ SpalartAllmarasDDES<BasicTurbulenceModel>::SpalartAllmarasDDES
propertiesName,
type
),
-
+ shielding_
+ (
+ shieldingModeNames.getOrDefault
+ (
+ "shielding",
+ this->coeffDict_,
+ shieldingMode::standard
+ )
+ ),
Cd1_
(
this->useSigma_
@@ -163,11 +236,80 @@ SpalartAllmarasDDES<BasicTurbulenceModel>::SpalartAllmarasDDES
this->coeffDict_,
3
)
+ ),
+ Cd3_
+ (
+ dimensioned<scalar>::getOrAddToDict
+ (
+ "Cd3",
+ this->coeffDict_,
+ 25
+ )
+ ),
+ Cd4_
+ (
+ dimensioned<scalar>::getOrAddToDict
+ (
+ "Cd4",
+ this->coeffDict_,
+ 0.03
+ )
+ ),
+ betaZDES_
+ (
+ dimensioned<scalar>::getOrAddToDict
+ (
+ "betaZDES",
+ this->coeffDict_,
+ 2.5
+ )
+ ),
+ usefP2_
+ (
+ Switch::getOrAddToDict
+ (
+ "usefP2",
+ this->coeffDict_,
+ false
+ )
)
{
if (type == typeName)
{
this->printCoeffs(type);
+
+ switch (shielding_)
+ {
+ case shieldingMode::standard:
+ {
+ Info<< "shielding function: standard DDES "
+ << "(Spalart et al., 2006)"
+ << nl;
+ break;
+ }
+ case shieldingMode::ZDES2020:
+ {
+ Info<< "shielding function: ZDES mode 2 (Deck & Renard, 2020)"
+ << nl;
+ break;
+ }
+ default:
+ {
+ FatalErrorInFunction
+ << "Unrecognised 'shielding' option: "
+ << shieldingModeNames[shielding_]
+ << exit(FatalError);
+ }
+ }
+
+ if (usefP2_)
+ {
+ Info<< "fP2 term: active" << nl;
+ }
+ else
+ {
+ Info<< "fP2 term: inactive" << nl;
+ }
}
}
@@ -179,8 +321,19 @@ bool SpalartAllmarasDDES<BasicTurbulenceModel>::read()
{
if (SpalartAllmarasDES<BasicTurbulenceModel>::read())
{
+ shieldingModeNames.readIfPresent
+ (
+ "shielding",
+ this->coeffDict(),
+ shielding_
+ );
+
Cd1_.readIfPresent(this->coeffDict());
Cd2_.readIfPresent(this->coeffDict());
+ Cd3_.readIfPresent(this->coeffDict());
+ Cd4_.readIfPresent(this->coeffDict());
+ betaZDES_.readIfPresent(this->coeffDict());
+ usefP2_.readIfPresent("usefP2", this->coeffDict());
return true;
}
diff --git a/src/TurbulenceModels/turbulenceModels/DES/SpalartAllmarasDDES/SpalartAllmarasDDES.H b/src/TurbulenceModels/turbulenceModels/DES/SpalartAllmarasDDES/SpalartAllmarasDDES.H
index eaed52f2ff5..fda73c0f1aa 100644
--- a/src/TurbulenceModels/turbulenceModels/DES/SpalartAllmarasDDES/SpalartAllmarasDDES.H
+++ b/src/TurbulenceModels/turbulenceModels/DES/SpalartAllmarasDDES/SpalartAllmarasDDES.H
@@ -6,8 +6,8 @@
\\/ M anipulation |
-------------------------------------------------------------------------------
Copyright (C) 2011-2016 OpenFOAM Foundation
- Copyright (C) 2022 Upstream CFD GmbH
- Copyright (C) 2019-2022 OpenCFD Ltd.
+ Copyright (C) 2022, 2024 Upstream CFD GmbH
+ Copyright (C) 2019-2024 OpenCFD Ltd.
-------------------------------------------------------------------------------
License
This file is part of OpenFOAM.
@@ -45,6 +45,15 @@ Description
DOI:10.1007/s00162-006-0015-0
\endverbatim
+ Reference for enhanced shielding function formulation:
+ \verbatim
+ Deck, S., Renard, N. (2020).
+ Towards an enhanced protection of attached boundary layers in hybrid
+ RANS/LES methods.
+ Journal of Computational Physics, 400, 108970.
+ DOI:10.1016/j.jcp.2019.108970
+ \endverbatim
+
SourceFiles
SpalartAllmarasDDES.C
@@ -54,6 +63,7 @@ SourceFiles
#define Foam_SpalartAllmarasDDES_H
#include "SpalartAllmarasBase.H"
+#include "Enum.H"
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
@@ -71,6 +81,23 @@ class SpalartAllmarasDDES
:
public SpalartAllmarasDES<BasicTurbulenceModel>
{
+public:
+
+ // Public enumerations
+
+ //- Shielding modes
+ enum class shieldingMode
+ {
+ standard,
+ ZDES2020
+ };
+
+ //- Shielding mode names
+ static const Enum<shieldingMode> shieldingModeNames;
+
+
+private:
+
// Private Member Functions
//- Return the shielding function
@@ -87,10 +114,17 @@ protected:
// Protected Data
+ //- Shielding mode
+ shieldingMode shielding_;
+
// Model coefficients
dimensionedScalar Cd1_;
dimensionedScalar Cd2_;
+ dimensionedScalar Cd3_;
+ dimensionedScalar Cd4_;
+ dimensionedScalar betaZDES_;
+ Switch usefP2_;
// Protected Member Functions
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/U b/tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/U
new file mode 100644
index 00000000000..f60151cf019
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/U
@@ -0,0 +1,54 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+ version 2.0;
+ format ascii;
+ class volVectorField;
+ object U;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+// calculate inflow velocity vector
+AoA 13.87;
+Ux #eval{ cos(degToRad($AoA)) };
+Uz #eval{ sin(degToRad($AoA)) };
+
+dimensions [0 1 -1 0 0 0 0];
+
+internalField uniform ($Ux 0 $Uz);
+
+boundaryField
+{
+ inlet
+ {
+ type inletOutlet;
+ inletValue uniform ($Ux 0 $Uz);
+ value uniform ($Ux 0 $Uz);
+ }
+
+ outlet
+ {
+ type inletOutlet;
+ inletValue uniform ($Ux 0 $Uz);
+ value uniform ($Ux 0 $Uz);
+ }
+
+ aerofoil
+ {
+ type fixedValue;
+ value uniform (0 0 0);
+ }
+
+ "yPeriodic_.*"
+ {
+ type cyclic;
+ }
+}
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/k b/tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/k
new file mode 100644
index 00000000000..8b06b16ce9f
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/k
@@ -0,0 +1,50 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+ version 2.0;
+ format ascii;
+ class volScalarField;
+ location "0";
+ object k;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions [0 2 -2 0 0 0 0];
+
+internalField uniform #eval{ 1.5*sqr(0.00086) };
+
+boundaryField
+{
+ inlet
+ {
+ type inletOutlet;
+ inletValue $internalField;
+ value $internalField;
+ }
+
+ outlet
+ {
+ type inletOutlet;
+ inletValue $internalField;
+ value $internalField;
+ }
+
+ aerofoil
+ {
+ type kqRWallFunction;
+ value $internalField;
+ }
+
+ "yPeriodic_.*"
+ {
+ type cyclic;
+ }
+}
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/nuTilda b/tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/nuTilda
new file mode 100644
index 00000000000..9057422e746
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/nuTilda
@@ -0,0 +1,49 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+ version 2.0;
+ format ascii;
+ class volScalarField;
+ object nuTilda;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions [0 2 -1 0 0 0 0];
+
+internalField uniform #eval{ 3.0/1520000.0 };
+
+boundaryField
+{
+ inlet
+ {
+ type inletOutlet;
+ inletValue $internalField;
+ value $internalField;
+ }
+
+ outlet
+ {
+ type inletOutlet;
+ inletValue $internalField;
+ value $internalField;
+ }
+
+ aerofoil
+ {
+ type fixedValue;
+ value uniform 0;
+ }
+
+ "yPeriodic_.*"
+ {
+ type cyclic;
+ }
+}
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/nut b/tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/nut
new file mode 100644
index 00000000000..95b0990c5d1
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/nut
@@ -0,0 +1,49 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+ version 2.0;
+ format ascii;
+ class volScalarField;
+ location "0";
+ object nut;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions [0 2 -1 0 0 0 0];
+
+internalField uniform #eval{ 3.0/1520000.0 };
+
+boundaryField
+{
+ inlet
+ {
+ type calculated;
+ value $internalField;
+ }
+
+ outlet
+ {
+ type calculated;
+ value $internalField;
+ }
+
+ aerofoil
+ {
+ type nutUSpaldingWallFunction;
+ value $internalField;
+ tolerance 1e-9;
+ }
+
+ "yPeriodic_.*"
+ {
+ type cyclic;
+ }
+}
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/omega b/tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/omega
new file mode 100644
index 00000000000..7b444fbda6c
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/omega
@@ -0,0 +1,50 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+ version 2.0;
+ format ascii;
+ class volScalarField;
+ location "0";
+ object omega;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions [0 0 -1 0 0 0 0];
+
+internalField uniform #eval{ 1.5*sqr(0.00086)*1520000.0/0.009 };
+
+boundaryField
+{
+ inlet
+ {
+ type inletOutlet;
+ inletValue $internalField;
+ value $internalField;
+ }
+
+ outlet
+ {
+ type inletOutlet;
+ inletValue $internalField;
+ value $internalField;
+ }
+
+ aerofoil
+ {
+ type omegaWallFunction;
+ value $internalField;
+ }
+
+ "yPeriodic_.*"
+ {
+ type cyclic;
+ }
+}
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/p b/tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/p
new file mode 100644
index 00000000000..f15a973ffe4
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/0.orig/p
@@ -0,0 +1,48 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+ version 2.0;
+ format ascii;
+ class volScalarField;
+ object p;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions [0 2 -2 0 0 0 0];
+
+internalField uniform 0;
+
+boundaryField
+{
+ inlet
+ {
+ type outletInlet;
+ outletValue uniform 0;
+ value uniform 0;
+ }
+
+ outlet
+ {
+ type outletInlet;
+ outletValue uniform 0;
+ value uniform 0;
+ }
+
+ aerofoil
+ {
+ type zeroGradient;
+ }
+
+ "yPeriodic_.*"
+ {
+ type cyclic;
+ }
+}
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/Allclean b/tutorials/incompressible/pimpleFoam/LES/NACA4412/Allclean
new file mode 100755
index 00000000000..78c9484352b
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/Allclean
@@ -0,0 +1,11 @@
+#!/bin/sh
+cd "${0%/*}" || exit # Run from this directory
+. ${WM_PROJECT_DIR:?}/bin/tools/CleanFunctions # Tutorial clean functions
+#------------------------------------------------------------------------------
+
+cleanCase0
+
+rm -f constant/turbulenceProperties
+rm -f fig_*
+
+#------------------------------------------------------------------------------
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/Allrun b/tutorials/incompressible/pimpleFoam/LES/NACA4412/Allrun
new file mode 100755
index 00000000000..fab6e5abc77
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/Allrun
@@ -0,0 +1,15 @@
+#!/bin/sh
+cd "${0%/*}" || exit # Run from this directory
+. ${WM_PROJECT_DIR:?}/bin/tools/RunFunctions # Tutorial run functions
+#------------------------------------------------------------------------------
+
+./Allrun.pre
+
+runApplication $(getApplication)
+
+if notTest "$@"
+then
+ ./plot
+fi
+
+#------------------------------------------------------------------------------
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/Allrun-parallel b/tutorials/incompressible/pimpleFoam/LES/NACA4412/Allrun-parallel
new file mode 100755
index 00000000000..6080d2bc390
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/Allrun-parallel
@@ -0,0 +1,19 @@
+#!/bin/sh
+cd "${0%/*}" || exit # Run from this directory
+. ${WM_PROJECT_DIR:?}/bin/tools/RunFunctions # Tutorial run functions
+#------------------------------------------------------------------------------
+
+./Allrun.pre
+
+runApplication decomposePar
+
+runParallel $(getApplication)
+
+runApplication reconstructPar
+
+if notTest "$@"
+then
+ ./plot
+fi
+
+#------------------------------------------------------------------------------
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/Allrun.pre b/tutorials/incompressible/pimpleFoam/LES/NACA4412/Allrun.pre
new file mode 100755
index 00000000000..3fd98ad76da
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/Allrun.pre
@@ -0,0 +1,40 @@
+#!/bin/sh
+cd "${0%/*}" || exit # Run from this directory
+. ${WM_PROJECT_DIR:?}/bin/tools/RunFunctions # Tutorial run functions
+#------------------------------------------------------------------------------
+
+# SA-DDES, std. shielding
+#LESModel="SpalartAllmarasDDES"
+#LESDelta="maxDeltaxyz"
+#LESCoeffs=""
+
+# SA-sigma-DDES, std. shielding
+#LESModel="SpalartAllmarasDDES"
+#LESDelta="DeltaOmegaTilde"
+#LESCoeffs="useSigma true;"
+
+# SA-DDES, ZDES mode 2 shielding
+LESModel="SpalartAllmarasDDES"
+LESDelta="maxDeltaxyz"
+LESCoeffs="shielding ZDES2020;"
+
+# SA-sigma-DDES, ZDES mode 2 shielding
+#LESModel="SpalartAllmarasDDES"
+#LESDelta="DeltaOmegaTilde"
+#LESCoeffs="useSigma true; shielding ZDES2020;"
+
+
+sed -e "s|LES_MODEL|$LESModel|g" -e "s|LES_DELTA|$LESDelta|g" \
+ -e "s|LES_COEFFS|$LESCoeffs|g" \
+ constant/turbulenceProperties.template \
+ > constant/turbulenceProperties
+
+restore0Dir
+
+touch case.foam
+
+runApplication blockMesh
+
+runApplication applyBoundaryLayer -ybl 0.02
+
+#------------------------------------------------------------------------------
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/README.md b/tutorials/incompressible/pimpleFoam/LES/NACA4412/README.md
new file mode 100644
index 00000000000..3090615a40f
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/README.md
@@ -0,0 +1,20 @@
+<!------------------------------------------------------------------------- -->
+
+## 2D NACA4412 with trailing edge configuration
+
+- Essentially incompressible case is computed for free field conditions.
+- Experimental data publicly available from (16/07/2024):
+https://turbmodels.larc.nasa.gov/naca4412sep_val.html
+- References:
+
+ Coles, D. and Wadcock, A. J.,
+ "Flying-Hot-Wire Study of Flow Past an NACA 4412 Airfoil at Maximum Lift.
+ AIAA Journal, Vol. 17, No. 4, April 1979, pp. 321-329,
+ DOI:10.2514/3.61127
+
+ Wadcock, A. J.,
+ Structure of the Turbulent Separated Flow Around a Stalled Airfoil.
+ NASA-CR-152263, February 1979, https://ntrs.nasa.gov/citations/19790012839.
+
+
+<!------------------------------------------------------------------------- -->
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/constant/geometry/NACA4412.stl.gz b/tutorials/incompressible/pimpleFoam/LES/NACA4412/constant/geometry/NACA4412.stl.gz
new file mode 100644
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literal 0
HcmV?d00001
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/constant/transportProperties b/tutorials/incompressible/pimpleFoam/LES/NACA4412/constant/transportProperties
new file mode 100644
index 00000000000..54bc3a09e56
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/constant/transportProperties
@@ -0,0 +1,22 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+ version 2.0;
+ format ascii;
+ class dictionary;
+ location "constant";
+ object transportProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+transportModel Newtonian;
+
+nu #eval{ 1.0/1520000.0 };
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/constant/turbulenceProperties.template b/tutorials/incompressible/pimpleFoam/LES/NACA4412/constant/turbulenceProperties.template
new file mode 100644
index 00000000000..a3a176282c6
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/constant/turbulenceProperties.template
@@ -0,0 +1,34 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+ version 2.0;
+ format ascii;
+ class dictionary;
+ location "constant";
+ object turbulenceProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+simulationType LES;
+
+LES
+{
+ LESModel LES_MODEL;
+ LES_MODELCoeffs
+ {
+ LES_COEFFS
+ }
+
+ delta LES_DELTA;
+
+ turbulence on;
+ printCoeffs on;
+}
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/plot b/tutorials/incompressible/pimpleFoam/LES/NACA4412/plot
new file mode 100755
index 00000000000..e176e787a3f
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/plot
@@ -0,0 +1,147 @@
+#!/bin/bash
+cd "${0%/*}" || exit # Run from this directory
+
+timeOpts="-latestTime"
+
+[ -d "processor0" ] && timeOpts="$timeOpts -processor"
+
+time="$(foamListTimes $timeOpts)"
+
+echo "Creating plots for time $time"
+
+resultsDir="postProcessing/sample.lines/$time"
+resultsDirCp="postProcessing/sample.aerofoil/$time"
+
+# Mapping between OpenFOAM and experimental datasets
+declare -A of_vs_exp
+of_vs_exp[0.68]="001"
+of_vs_exp[0.73]="002"
+of_vs_exp[0.79]="003"
+of_vs_exp[0.84]="004"
+of_vs_exp[0.90]="005"
+of_vs_exp[0.95]="006"
+
+
+plotLines()
+{
+ pos=$1
+ exp=$2
+
+cat<<EOF
+ set terminal pngcairo enhanced color font "arial,16" size 600,600
+ set ylabel "(y-y_0)/c"
+ set yrange [0:0.2]
+ set grid
+
+ U0=1
+ c=1
+ normCFD = 0.93
+
+ m = 0.01*4
+ p = 0.1*4
+ t = 0.01*12
+ yc = (m/(1.0-p)**2)*((1.0-2.0*p) + 2.0*p*${pos} - ${pos}**2)
+ dzcdx = (2.0*m/((1.0-p)**2))*(p - ${pos})
+ theta = atan(dzcdx);
+ ys = 5.0*t*(0.2969*sqrt(${pos}) - (0.1260*${pos}) - (0.3516*(${pos}**2)) + (0.2843*(${pos}**3)) - (0.1036*(${pos}**4)))
+ y0 = yc + ys*cos(theta)
+
+ colExp="black"
+ colOF="royalblue"
+ colCFL3D="light-red"
+
+ set key left top
+ set xlabel "U_x/U_0"
+ set xrange [-0.2:1.4]
+ set output "fig_Ux_at_xbyc${pos}.png"
+ plot \
+ "validation/exptData/exp_vel_xbyc${pos}.dat" \
+ u 3:(\$2-y0) every 2 w points pt 7 ps 1.5 lc rgb colExp lw 2 t "Experiment", \
+ "$resultsDir/xbyc${pos}_columnAverage(UMean)_columnAverage(UPrime2Mean).xy" \
+ u (\$2/U0/normCFD):((\$1-y0)/c) w lines lc rgb colOF lw 2 t "OpenFOAM", \
+ "validation/cfdData/cfl3d_vel_sa_xbyc${pos}.dat" \
+ u 3:(\$2-y0) w lines lc rgb colCFL3D lw 2 t "CFL3D"
+
+ set key left top
+ set xlabel "U_y/U_0"
+ set xrange [-0.2:0.1]
+ set output "fig_Uy_at_xbyc${pos}.png"
+ plot \
+ "validation/exptData/exp_vel_xbyc${pos}.dat" \
+ u 4:(\$2-y0) every 2 w points pt 7 ps 1.5 lc rgb colExp lw 2 t "Experiment", \
+ "$resultsDir/xbyc${pos}_columnAverage(UMean)_columnAverage(UPrime2Mean).xy" \
+ u (\$4/U0/normCFD):((\$1-y0)/c) w lines lc rgb colOF lw 2 t "OpenFOAM", \
+ "validation/cfdData/cfl3d_vel_sa_xbyc${pos}.dat" \
+ u 4:(\$2-y0) w lines lc rgb colCFL3D lw 2 t "CFL3D"
+EOF
+}
+
+
+plotCp()
+{
+cat<<EOF
+ set terminal pngcairo enhanced color font "arial,16" size 600,600
+ set ylabel "C_p"
+ set yrange [2:-8]
+ set grid
+
+ U0=1
+ c=1
+ p0=0
+
+ colExp="black"
+ colOF="royalblue"
+ colCFL3D="light-red"
+
+ set key right top
+ set xlabel "x/c"
+ set xrange [0:1]
+ set output "fig_Cp_at_aerofoil.png"
+ plot \
+ "validation/exptData/exp_cp.dat" \
+ u 1:3 w points pt 7 ps 1.5 lc rgb colExp lw 2 t "Experiment", \
+ "$resultsDirCp/pMean_aerofoil.raw" \
+ u (\$1/c):(2.0*(\$4-p0)/U0/U0) w points pt 64 ps 1 lc rgb colOF lw 2 t "OpenFOAM", \
+ "validation/cfdData/cfl3d_cp_sa.dat" \
+ u 1:2 w lines lc rgb colCFL3D lw 2 t "CFL3D"
+EOF
+}
+
+
+plotCf()
+{
+cat<<EOF
+ set terminal pngcairo enhanced color font "arial,16" size 600,600
+ set ylabel "C_f"
+ set yrange [-0.01:0.06]
+ set grid
+
+ U0=1
+ c=1
+
+ colOF="royalblue"
+ colCFL3D="light-red"
+
+ set key right top
+ set xlabel "x/c"
+ set xrange [0:1]
+ set output "fig_Cf_at_aerofoil.png"
+ plot \
+ "$resultsDirCp/wallShearStressMean_aerofoil.raw" \
+ u (\$1/c):(\$3 > 0 ? (\$1 > 0.4 ? 2.0*sgn(\$6)*((\$4**2+\$5**2+\$6**2)**0.5)/U0/U0 : 2.0*((\$4**2+\$5**2+\$6**2)**0.5)/U0/U0) : 1/0) w points pt 64 ps 1 lc rgb colOF lw 2 t "OpenFOAM", \
+ "validation/cfdData/cfl3d_cfupper_sa.dat" \
+ u 1:2 w lines lc rgb colCFL3D lw 2 t "CFL3D"
+EOF
+}
+
+
+for i in "${!of_vs_exp[@]}"
+do
+ exp=${of_vs_exp[$i]}
+ gnuplot<<<$(plotLines $i $exp)
+done
+
+gnuplot<<<$(plotCp)
+gnuplot<<<$(plotCf)
+
+#------------------------------------------------------------------------------
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/blockMeshDict b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/blockMeshDict
new file mode 100644
index 00000000000..fe3a6294861
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/blockMeshDict
@@ -0,0 +1,320 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+ version 2.0;
+ format ascii;
+ class dictionary;
+ object blockMeshDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+// scaling to desired chord length, 1.0 means Lchord = 1m
+scale 1.0;
+
+// max coordinate in the streamwise direction (relative to Lchord)
+xMax 10;
+
+// radial extent of domain (relative to Lchord)
+rMax 10;
+
+// anker points of aerofoil at leading and trailing edges
+xLead 0;
+zLead 0;
+xTrail 1;
+zTrail 0;
+
+// anker points for middle block
+xUpper 0.3;
+zUpper 0.06;
+xLower 0.3;
+zLower -0.06;
+
+// spacings
+dxLE 0.0005; // at leading edge
+dxMidUp 0.0025; // at middle of aerofoil (upper surface)
+dxMidLow 0.05; // at middle of aerofoil (lower surface)
+dxTE 0.002; // at trailing edge
+dzaerofoil 0.00002; // near-wall spacing at airfoil
+dy $dxTE; // spanwise spacing
+
+// compute number of cells and total cell spacing in the radial direction (from aerofoil to far-field)
+zCells 64;
+zGrading 82205.8;
+
+// compute number of cells and total cell spacing in the streamwise direction
+// from leading edge to middle of aerofoil (upper surface)
+xUUpCells 241;
+leadUpGrading 0.2;
+
+// compute number of cells and total cell spacing in the streamwise direction
+// from leading edge to middle of aerofoil (lower surface)
+xULowCells 26;
+leadLowGrading 0.01;
+
+// compute number of cells and total cell spacing in the streamwise direction
+// from trailing edge to middle of aerofoil (upper surface)
+xMUpCells 312;
+xMUpGrading 1.25;
+
+// compute number of cells and total cell spacing in the streamwise direction
+// from trailing edge to middle of aerofoil (lower surface)
+xMLowCells 46;
+xMLowGrading 25;
+
+// compute number of cells and total cell spacing in the streamwise direction (from trailing edge to outlet, centreline)
+xDCells 38;
+xDGrading 831.626;
+
+// compute total cell spacing in the streamwise direction
+// from far-field inlet to middle of airfoil (lower surface)
+xUffLowGrading 0.051377;
+
+// compute total cell spacing in the streamwise direction
+// from middle of airfoil to trailing edge (lower surface)
+xMffLowGrading 7.54248;
+
+// compute total cell spacing in the streamwise direction
+// from trailing edge to far-field outlet (upper surface)
+xDffUpGrading 32.5263;
+
+// compute total cell spacing in the streamwise direction
+// from trailing edge to far-field outlet (lower surface)
+xDffLowGrading 8.68445;
+
+// min/max coordinates in the spanwise direction (relative to Lchord)
+yMin -0.002;
+yMax 0.002;
+
+// number of cells in the spanwise direction (y)
+yCells 2;
+
+
+geometry
+{
+ aerofoil
+ {
+ type triSurfaceMesh;
+ file "NACA4412.stl";
+ }
+ cylinder
+ {
+ type cylinder;
+ point1 ($xTrail -1e3 0);
+ point2 ($xTrail 1e3 0);
+ radius $rMax;
+ }
+}
+
+vertices
+(
+ // all vertices on yMin-plane
+ (
+ #eval{$xTrail - sin(degToRad((1.0-$xLower)*90))*$rMax}
+ $yMin
+ #eval{$zTrail - cos(degToRad((1.0-$xLower)*90))*$rMax}
+ ) // v 0
+ ($xTrail $yMin #eval{ $zLead - $rMax }) // v 1
+ (#eval{ $xTrail + $xMax } $yMin #eval{ $zLead - $rMax }) // v 2
+ project (#eval{ $xLead-$rMax } $yMin $zLead ) (cylinder) // v 3
+ project ($xLead $yMin $zLead ) (aerofoil) // v 4
+ project ($xTrail $yMin $zTrail ) (aerofoil) // v 5
+ (#eval{ $xTrail + $xMax } $yMin $zTrail ) // v 6
+ project ($xLower $yMin $zLower ) (aerofoil) // v 7
+ project ($xUpper $yMin $zUpper ) (aerofoil) // v 8
+ (
+ #eval{$xTrail - sin(degToRad($xMUpCells*90/($xUUpCells+$xMUpCells)))*$rMax}
+ $yMin
+ #eval{$zTrail + cos(degToRad($xMUpCells*90/($xUUpCells+$xMUpCells)))*$rMax}
+ ) // v 9
+ project ($xTrail $yMin #eval{ $zLead + $rMax }) (aerofoil) // v 10
+ (#eval{ $xTrail + $xMax } $yMin #eval{ $zLead + $rMax }) // v 11
+
+ // all vertices on yMax-plane
+ (
+ #eval{$xTrail - sin(degToRad((1.0-$xLower)*90))*$rMax}
+ $yMax
+ #eval{$zTrail - cos(degToRad((1.0-$xLower)*90))*$rMax}
+ ) // v 12
+ ($xTrail $yMax #eval{ $zLead - $rMax }) // v 13
+ (#eval{ $xTrail + $xMax } $yMax #eval{ $zLead - $rMax }) // v 14
+ project (#eval{ $xLead-$rMax } $yMax $zLead ) (cylinder) // v 15
+ project ($xLead $yMax $zLead ) (aerofoil) // v 16
+ project ($xTrail $yMax $zTrail ) (aerofoil) // v 17
+ (#eval{ $xTrail + $xMax } $yMax $zTrail ) // v 18
+ project ($xLower $yMax $zLower ) (aerofoil) // v 19
+ project ($xUpper $yMax $zUpper ) (aerofoil) // v 20
+ (
+ #eval{$xTrail - sin(degToRad($xMUpCells*90/($xUUpCells+$xMUpCells)))*$rMax}
+ $yMax
+ #eval{$zTrail + cos(degToRad($xMUpCells*90/($xUUpCells+$xMUpCells)))*$rMax}
+ ) // v 21
+ project ($xTrail $yMax #eval{ $zLead + $rMax }) (aerofoil) // v 22
+ (#eval{ $xTrail + $xMax } $yMax #eval{ $zLead + $rMax }) // v 23
+);
+
+blocks
+(
+ // block 0
+ hex ( 7 4 16 19 0 3 15 12)
+ ($xULowCells $yCells $zCells)
+ edgeGrading
+ (
+ $leadLowGrading $leadLowGrading $xUffLowGrading $xUffLowGrading
+ 1 1 1 1
+ $zGrading $zGrading $zGrading $zGrading
+ )
+
+ // block 1
+ hex ( 5 7 19 17 1 0 12 13)
+ ($xMLowCells $yCells $zCells)
+ edgeGrading
+ (
+ $xMLowGrading $xMLowGrading $xMffLowGrading $xMffLowGrading
+ 1 1 1 1
+ $zGrading $zGrading $zGrading $zGrading
+ )
+
+ // block 2
+ hex ( 17 18 6 5 13 14 2 1)
+ ($xDCells $yCells $zCells)
+ edgeGrading
+ (
+ $xDGrading $xDGrading $xDffLowGrading $xDffLowGrading
+ 1 1 1 1
+ $zGrading $zGrading $zGrading $zGrading
+ )
+
+ // block 3
+ hex ( 20 16 4 8 21 15 3 9)
+ ($xUUpCells $yCells $zCells)
+ edgeGrading
+ (
+ $leadUpGrading $leadUpGrading 1 1
+ 1 1 1 1
+ $zGrading $zGrading $zGrading $zGrading
+ )
+
+ // block 4
+ hex ( 17 20 8 5 22 21 9 10)
+ ($xMUpCells $yCells $zCells)
+ edgeGrading
+ (
+ $xMUpGrading $xMUpGrading 1 1
+ 1 1 1 1
+ $zGrading $zGrading $zGrading $zGrading
+ )
+
+ // block 5
+ hex ( 5 6 18 17 10 11 23 22)
+ ($xDCells $yCells $zCells)
+ edgeGrading
+ (
+ $xDGrading $xDGrading $xDffUpGrading $xDffUpGrading
+ 1 1 1 1
+ $zGrading $zGrading $zGrading $zGrading
+ )
+);
+
+edges
+(
+ project 4 7 (aerofoil)
+ project 7 5 (aerofoil)
+ project 4 8 (aerofoil)
+ project 8 5 (aerofoil)
+
+ project 16 19 (aerofoil)
+ project 19 17 (aerofoil)
+ project 16 20 (aerofoil)
+ project 20 17 (aerofoil)
+
+ project 3 0 (cylinder)
+ project 3 9 (cylinder)
+ project 15 12 (cylinder)
+ project 15 21 (cylinder)
+
+ project 0 1 (cylinder)
+ project 9 10 (cylinder)
+ project 12 13 (cylinder)
+ project 21 22 (cylinder)
+);
+
+boundary
+(
+ aerofoil
+ {
+ type wall;
+ faces
+ (
+ (4 7 19 16)
+ (7 5 17 19)
+ (5 8 20 17)
+ (8 4 16 20)
+ );
+ }
+
+ inlet
+ {
+ type patch;
+ faces
+ (
+ (3 0 12 15)
+ (0 1 13 12)
+ (1 2 14 13)
+ (11 10 22 23)
+ (10 9 21 22)
+ (9 3 15 21)
+ );
+ }
+
+ outlet
+ {
+ type patch;
+ faces
+ (
+ (2 6 18 14)
+ (6 11 23 18)
+ );
+ }
+
+ yPeriodic_half0
+ {
+ type cyclic;
+ neighbourPatch yPeriodic_half1;
+ faces
+ (
+ (3 4 7 0)
+ (7 5 1 0)
+ (5 6 2 1)
+ (3 9 8 4)
+ (9 10 5 8)
+ (10 11 6 5)
+ );
+ }
+
+ yPeriodic_half1
+ {
+ type cyclic;
+ neighbourPatch yPeriodic_half0;
+ faces
+ (
+ (15 16 19 12)
+ (19 17 13 12)
+ (17 18 14 13)
+ (15 16 20 21)
+ (20 17 22 21)
+ (17 18 23 22)
+ );
+ }
+);
+
+
+// Cleanup
+#remove ( domain aerofoil )
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/columnAverage b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/columnAverage
new file mode 100644
index 00000000000..1a4bdd421e5
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/columnAverage
@@ -0,0 +1,32 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+
+columnAverage
+{
+ // Mandatory entries
+ type columnAverage;
+ libs (fieldFunctionObjects);
+
+ // Note: include processorCyclics!
+ patches ( yPeriodic_half0 "proc.*throughyPeriodic_half0" );
+ fields
+ (
+ UMean
+ UPrime2Mean
+ );
+
+ // Inherited entries
+ region region0;
+ enabled true;
+ log true;
+ timeStart $tStartAvg;
+ executeControl writeTime;
+ writeControl none;
+}
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/controlDict b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/controlDict
new file mode 100644
index 00000000000..de8405f6cd4
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/controlDict
@@ -0,0 +1,61 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+ version 2.0;
+ format ascii;
+ class dictionary;
+ location "system";
+ object controlDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+application pimpleFoam;
+
+startFrom startTime;
+
+startTime 0;
+
+stopAt endTime;
+
+endTime 30;
+
+deltaT 0.0025;
+
+writeControl timeStep;
+
+writeInterval 400;
+
+purgeWrite 1;
+
+writeFormat binary;
+
+writePrecision 6;
+
+writeCompression off;
+
+timeFormat general;
+
+timePrecision 6;
+
+runTimeModifiable true;
+
+// user-defined variables
+tStartAvg 20;
+
+functions
+{
+ #include "volFields"
+ #include "wallFields"
+ #include "fieldAverage"
+ #include "forceCoeffs"
+ #include "columnAverage"
+ #include "sampleDict"
+}
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/decomposeParDict b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/decomposeParDict
new file mode 100644
index 00000000000..feb8cd52351
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/decomposeParDict
@@ -0,0 +1,26 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+ version 2.0;
+ format ascii;
+ class dictionary;
+ object decomposeParDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+numberOfSubdomains 16;
+
+method hierarchical;
+
+coeffs
+{
+ n (16 1 1);
+}
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/fieldAverage b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/fieldAverage
new file mode 100644
index 00000000000..ab84cedd955
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/fieldAverage
@@ -0,0 +1,54 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+
+fieldAverage
+{
+ type fieldAverage;
+ libs (fieldFunctionObjects);
+
+ enabled true;
+ writeControl writeTime;
+
+ timeStart $tStartAvg;
+
+ fields
+ (
+ U
+ {
+ mean on;
+ prime2Mean on;
+ base time;
+ }
+ p
+ {
+ mean on;
+ prime2Mean off;
+ base time;
+ }
+ nut
+ {
+ mean on;
+ prime2Mean off;
+ base time;
+ }
+ nuTilda
+ {
+ mean on;
+ prime2Mean off;
+ base time;
+ }
+ wallShearStress
+ {
+ mean on;
+ prime2Mean off;
+ base time;
+ }
+ );
+}
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/forceCoeffs b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/forceCoeffs
new file mode 100644
index 00000000000..319bb813c3a
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/forceCoeffs
@@ -0,0 +1,43 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+
+forceCoeffs
+{
+ type forceCoeffs;
+
+ libs (forces);
+
+ writeControl timeStep;
+ timeInterval 1;
+
+ log no;
+
+ AoA 13.87; // Angle-of-attack
+ magUInf 1.0; // Freestream velocity
+ lRef 1.0; // Chord length
+ Aref #eval{ $lRef*0.004 }; // Chord length times span width
+
+ patches (aerofoil);
+ rho rhoInf; // Indicates incompressible
+ rhoInf 1; // Required when rho = rhoInf
+ liftDir (
+ #eval{-sin(degToRad($AoA))}
+ 0
+ #eval{cos(degToRad($AoA))}
+ );
+ dragDir (
+ #eval{cos(degToRad($AoA))}
+ 0
+ #eval{sin(degToRad($AoA))}
+ );
+ CofR (0.25 0 0); // Aerodynamic center point
+ pitchAxis (0 1 0);
+}
+
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/fvSchemes b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/fvSchemes
new file mode 100644
index 00000000000..d50a946acfb
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/fvSchemes
@@ -0,0 +1,73 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+ version 2.0;
+ format ascii;
+ class dictionary;
+ object fvSchemes;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+ddtSchemes
+{
+ default backward;
+}
+
+gradSchemes
+{
+ default Gauss linear;
+}
+
+divSchemes
+{
+ default Gauss linear;
+
+ div(phi,U) Gauss DEShybrid
+ linear // scheme 1
+ linearUpwind grad(U) // scheme 2
+ delta // LES delta name, e.g. 'delta', 'hmax'
+ 0.65 // CDES coefficient
+ 1.0 // Reference velocity scale
+ 1.0 // Reference length scale
+ 0.0 // Minimum sigma limit (0-1)
+ 1.0 // Maximum sigma limit (0-1)
+ 1.0 // Limiter of B function
+ 10.0; // nut limiter (if > 1, GAM extension is active)
+
+ turbulence Gauss limitedLinear 1;
+ div(phi,k) $turbulence;
+ div(phi,omega) $turbulence;
+ div(phi,epsilon) $turbulence;
+ div(phi,nuTilda) $turbulence;
+
+ div((nuEff*dev2(T(grad(U))))) Gauss linear;
+}
+
+laplacianSchemes
+{
+ default Gauss linear corrected;
+}
+
+interpolationSchemes
+{
+ default linear;
+}
+
+snGradSchemes
+{
+ default corrected;
+}
+
+wallDist
+{
+ method exactDistance;
+ nRequired yes;
+}
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/fvSolution b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/fvSolution
new file mode 100644
index 00000000000..882cbb2a280
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/fvSolution
@@ -0,0 +1,75 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+ version 2.0;
+ format ascii;
+ class dictionary;
+ object fvSolution;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+solvers
+{
+ p
+ {
+ solver GAMG;
+ smoother DICGaussSeidel;
+ tolerance 1e-06;
+ relTol 0.05;
+ minIter 1;
+ maxIter 10;
+ }
+
+ pFinal
+ {
+ $p;
+ relTol 0.01;
+ }
+
+ "(U|k|omega|nuTilda)"
+ {
+ solver PBiCG;
+ preconditioner DILU;
+ tolerance 1e-05;
+ relTol 0.1;
+ minIter 1;
+ }
+
+ "(U|k|omega|nuTilda)Final"
+ {
+ $U;
+ relTol 0;
+ }
+}
+
+PIMPLE
+{
+ nOuterCorrectors 2;
+ nCorrectors 1;
+ nNonOrthogonalCorrectors 0;
+ finalOnLastPimpleIterOnly true;
+ turbOnFinalIterOnly false;
+}
+
+relaxationFactors
+{
+ fields
+ {
+ "(p|pFinal)" 0.3;
+ }
+ equations
+ {
+ "(U|UFinal)" 0.7;
+ "(k|kFinal)" 0.7;
+ "(omega|omegaFinal)" 0.7;
+ "(nuTilda|nuTildaFinal)" 0.7;
+ }
+}
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/sampleDict b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/sampleDict
new file mode 100644
index 00000000000..1aac4ed055d
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/sampleDict
@@ -0,0 +1,98 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+
+sample.lines
+{
+ type sets;
+ libs (sampling);
+ writeControl writeTime;
+ timeStart $tStartAvg;
+
+ interpolationScheme cellPoint;
+ setFormat raw;
+
+ sets
+ (
+ xbyc0.68
+ {
+ type face;
+ axis z;
+ start (6.753000021E-01 0.0001 7.061254978E-02);
+ end (7.216045260E-01 0.0001 3.526125550E-01);
+ }
+ xbyc0.73
+ {
+ type face;
+ axis z;
+ start (7.307999730E-01 0.0001 6.140028313E-02);
+ end (7.803474069E-01 0.0001 3.434002697E-01);
+ }
+ xbyc0.79
+ {
+ type face;
+ axis z;
+ start (7.863000035E-01 0.0001 5.103440955E-02);
+ end (8.403753638E-01 0.0001 3.330343962E-01);
+ }
+ xbyc0.84
+ {
+ type face;
+ axis z;
+ start (8.417999744E-01 0.0001 3.950987384E-02);
+ end (8.998869658E-01 0.0001 3.215098679E-01);
+ }
+ xbyc0.90
+ {
+ type face;
+ axis z;
+ start (8.973000050E-01 0.0001 2.680198476E-02);
+ end (9.618465304E-01 0.0001 3.088019788E-01);
+ }
+ xbyc0.95
+ {
+ type face;
+ axis z;
+ start (9.527999759E-01 0.0001 1.286614314E-02);
+ end (1.022162795E+00 0.0001 2.928661406E-01);
+ }
+ );
+
+ fields
+ (
+ columnAverage(UMean)
+ columnAverage(UPrime2Mean)
+ );
+}
+
+sample.aerofoil
+{
+ type surfaces;
+ libs (sampling);
+ writeControl writeTime;
+ timeStart $tStartAvg;
+
+ interpolationScheme cell;
+ surfaceFormat raw;
+
+ fields
+ (
+ pMean
+ wallShearStressMean
+ );
+
+ surfaces
+ (
+ aerofoil
+ {
+ type patch;
+ patches ( "aerofoil" );
+ }
+ );
+}
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/volFields b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/volFields
new file mode 100644
index 00000000000..dae077563b5
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/volFields
@@ -0,0 +1,68 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+
+CourantNo
+{
+ type CourantNo;
+ libs (fieldFunctionObjects);
+
+ enabled true;
+ writeControl writeTime;
+}
+
+vorticity
+{
+ type vorticity;
+ libs (fieldFunctionObjects);
+
+ enabled true;
+ writeControl writeTime;
+}
+
+Q
+{
+ type Q;
+ libs (fieldFunctionObjects);
+
+ enabled true;
+ writeControl writeTime;
+}
+
+DESModelRegions
+{
+ type DESModelRegions;
+ libs (fieldFunctionObjects);
+
+ enabled true;
+ writeControl writeTime;
+ result DESField;
+}
+
+blendingFactor
+{
+ type blendingFactor;
+ libs (fieldFunctionObjects);
+
+ field U;
+
+ enabled true;
+ writeControl writeTime;
+ log false;
+}
+
+turbulenceFields
+{
+ type turbulenceFields;
+ libs (fieldFunctionObjects);
+ field fd;
+
+ enabled true;
+ writeControl writeTime;
+}
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/wallFields b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/wallFields
new file mode 100644
index 00000000000..d3a694ac9a9
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/system/wallFields
@@ -0,0 +1,31 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| ========= | |
+| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
+| \\ / O peration | Version: v2406 |
+| \\ / A nd | Website: www.openfoam.com |
+| \\/ M anipulation | |
+\*---------------------------------------------------------------------------*/
+
+wallShearStress
+{
+ type wallShearStress;
+ libs (fieldFunctionObjects);
+
+ enabled true;
+ writeControl writeTime;
+
+ patches ( aerofoil );
+}
+
+yPlus
+{
+ type yPlus;
+ libs (fieldFunctionObjects);
+
+ enabled true;
+ writeControl writeTime;
+
+ patches ( aerofoil );
+}
+
+// ************************************************************************* //
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_cfupper_sa.dat b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_cfupper_sa.dat
new file mode 100644
index 00000000000..33ec645e28e
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_cfupper_sa.dat
@@ -0,0 +1,254 @@
+# variables="x","cf"
+# zone, t="Cf results, SA, CFL3D, 897 grid, upper surface"
+ -0.300215208E-03 0.520296954E-01
+ -0.299679232E-03 0.519004650E-01
+ -0.298475701E-03 0.517944582E-01
+ -0.296462793E-03 0.516391732E-01
+ -0.293677091E-03 0.515194647E-01
+ -0.290010095E-03 0.513722003E-01
+ -0.285390677E-03 0.511891693E-01
+ -0.279784348E-03 0.510855354E-01
+ -0.273050100E-03 0.509018973E-01
+ -0.265073963E-03 0.506535582E-01
+ -0.255770690E-03 0.504522398E-01
+ -0.244996452E-03 0.502555445E-01
+ -0.232593811E-03 0.500289872E-01
+ -0.218391418E-03 0.497836806E-01
+ -0.202203242E-03 0.495600849E-01
+ -0.183828088E-03 0.492945798E-01
+ -0.162961602E-03 0.489461161E-01
+ -0.139413183E-03 0.486237742E-01
+ -0.112867208E-03 0.483246632E-01
+ -0.830134013E-04 0.479706377E-01
+ -0.494437700E-04 0.475594029E-01
+ -0.118173057E-04 0.471549146E-01
+ 0.303119032E-04 0.467480086E-01
+ 0.774177824E-04 0.463286415E-01
+ 0.130014727E-03 0.458562002E-01
+ 0.188744467E-03 0.453349985E-01
+ 0.254125218E-03 0.448392592E-01
+ 0.326920010E-03 0.442983694E-01
+ 0.407848827E-03 0.437292382E-01
+ 0.497698842E-03 0.431496948E-01
+ 0.597398961E-03 0.425287522E-01
+ 0.707842119E-03 0.419016667E-01
+ 0.830086763E-03 0.412580706E-01
+ 0.965213520E-03 0.405941717E-01
+ 0.111442222E-02 0.399245098E-01
+ 0.127896213E-02 0.392302461E-01
+ 0.146025384E-02 0.385085829E-01
+ 0.165968772E-02 0.377873108E-01
+ 0.187884353E-02 0.370576866E-01
+ 0.211935421E-02 0.363138951E-01
+ 0.238296925E-02 0.355671421E-01
+ 0.267152721E-02 0.348099098E-01
+ 0.298700971E-02 0.340385213E-01
+ 0.333145703E-02 0.332686193E-01
+ 0.370701938E-02 0.325040296E-01
+ 0.411599968E-02 0.317299813E-01
+ 0.456080539E-02 0.309557877E-01
+ 0.504391594E-02 0.301869959E-01
+ 0.556801818E-02 0.294177458E-01
+ 0.613584183E-02 0.286547132E-01
+ 0.675031310E-02 0.279000439E-01
+ 0.741444994E-02 0.271533020E-01
+ 0.813146960E-02 0.264114700E-01
+ 0.890471786E-02 0.256814528E-01
+ 0.973765645E-02 0.249689464E-01
+ 0.106340041E-01 0.242659971E-01
+ 0.115976157E-01 0.235775858E-01
+ 0.126325209E-01 0.229078624E-01
+ 0.137430029E-01 0.222531538E-01
+ 0.149335312E-01 0.216157548E-01
+ 0.162088145E-01 0.209972654E-01
+ 0.175738093E-01 0.203979630E-01
+ 0.190337263E-01 0.198178813E-01
+ 0.205940846E-01 0.192555841E-01
+ 0.222606752E-01 0.187128820E-01
+ 0.240395926E-01 0.181908272E-01
+ 0.259372946E-01 0.176869705E-01
+ 0.279605929E-01 0.172015429E-01
+ 0.301166419E-01 0.167358872E-01
+ 0.324130282E-01 0.162881874E-01
+ 0.348577611E-01 0.158577804E-01
+ 0.374592766E-01 0.154445507E-01
+ 0.402265228E-01 0.150476014E-01
+ 0.431689098E-01 0.146664511E-01
+ 0.462964140E-01 0.143002057E-01
+ 0.496195517E-01 0.139482785E-01
+ 0.531494506E-01 0.136096599E-01
+ 0.568978637E-01 0.132836690E-01
+ 0.608771965E-01 0.129696084E-01
+ 0.651005805E-01 0.126664806E-01
+ 0.695818588E-01 0.123735210E-01
+ 0.743356869E-01 0.120899258E-01
+ 0.793775097E-01 0.118148932E-01
+ 0.847236738E-01 0.115474779E-01
+ 0.903914198E-01 0.112869106E-01
+ 0.963989496E-01 0.110324258E-01
+ 0.102765486E+00 0.107832532E-01
+ 0.109511293E+00 0.105385017E-01
+ 0.116657786E+00 0.102973357E-01
+ 0.124227509E+00 0.100590624E-01
+ 0.132244244E+00 0.982277561E-02
+ 0.140733093E+00 0.958765578E-02
+ 0.149720430E+00 0.935295038E-02
+ 0.159234062E+00 0.911777467E-02
+ 0.169303283E+00 0.888128486E-02
+ 0.179958835E+00 0.864262041E-02
+ 0.191233084E+00 0.840087514E-02
+ 0.203160003E+00 0.815506279E-02
+ 0.215775266E+00 0.790417567E-02
+ 0.229116291E+00 0.764716649E-02
+ 0.243222237E+00 0.738282362E-02
+ 0.258134156E+00 0.710981246E-02
+ 0.273894936E+00 0.682660146E-02
+ 0.290549338E+00 0.653150119E-02
+ 0.308144122E+00 0.622206694E-02
+ 0.326727927E+00 0.589551963E-02
+ 0.346351355E+00 0.554451626E-02
+ 0.367066890E+00 0.516386563E-02
+ 0.387786448E+00 0.476704910E-02
+ 0.407450289E+00 0.439839624E-02
+ 0.426136523E+00 0.409791898E-02
+ 0.443916082E+00 0.385038787E-02
+ 0.460852712E+00 0.362774311E-02
+ 0.477004498E+00 0.342413364E-02
+ 0.492424339E+00 0.323621533E-02
+ 0.507160723E+00 0.306076440E-02
+ 0.521257877E+00 0.289561506E-02
+ 0.534756422E+00 0.273915287E-02
+ 0.547693729E+00 0.259018806E-02
+ 0.560103893E+00 0.244779582E-02
+ 0.572018623E+00 0.231124554E-02
+ 0.583467066E+00 0.217998144E-02
+ 0.594475985E+00 0.205353904E-02
+ 0.605070293E+00 0.193153927E-02
+ 0.615273118E+00 0.181370717E-02
+ 0.625105798E+00 0.169981434E-02
+ 0.634588242E+00 0.158967997E-02
+ 0.643738806E+00 0.148317160E-02
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diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_cp_sa.dat b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_cp_sa.dat
new file mode 100644
index 00000000000..a6605942c96
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_cp_sa.dat
@@ -0,0 +1,515 @@
+# NACA 4412, alpha=13.87, Re=1.52 million, 897x257 grid, CFL3D with SA model
+# variables="x","cp"
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diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.68.dat b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.68.dat
new file mode 100644
index 00000000000..90412e58664
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.68.dat
@@ -0,0 +1,201 @@
+# NACA 4412, alpha=13.87, Re=1.52 million, 897x257 grid, CFL3D with SA model
+# x = x/c
+# y = y/c
+# u = (u/Uinf)/0.93
+# v = (v/Uinf)/0.93
+# (0.93 needed to put normalization in terms of experimental ref location below and behind airfoil)
+# VARIABLES = "x","y","u","v"
+# ZONE T="x=.6753"
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diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.73.dat b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.73.dat
new file mode 100644
index 00000000000..ed837e0fe22
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.73.dat
@@ -0,0 +1,201 @@
+# NACA 4412, alpha=13.87, Re=1.52 million, 897x257 grid, CFL3D with SA model
+# x = x/c
+# y = y/c
+# u = (u/Uinf)/0.93
+# v = (v/Uinf)/0.93
+# (0.93 needed to put normalization in terms of experimental ref location below and behind airfoil)
+# VARIABLES = "x","y","u","v"
+# ZONE T="x=.7308"
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diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.79.dat b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.79.dat
new file mode 100644
index 00000000000..9bbd470f534
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.79.dat
@@ -0,0 +1,201 @@
+# NACA 4412, alpha=13.87, Re=1.52 million, 897x257 grid, CFL3D with SA model
+# x = x/c
+# y = y/c
+# u = (u/Uinf)/0.93
+# v = (v/Uinf)/0.93
+# (0.93 needed to put normalization in terms of experimental ref location below and behind airfoil)
+# VARIABLES = "x","y","u","v"
+# ZONE T="x=.7863"
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diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.84.dat b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.84.dat
new file mode 100644
index 00000000000..8bad8022431
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.84.dat
@@ -0,0 +1,201 @@
+# NACA 4412, alpha=13.87, Re=1.52 million, 897x257 grid, CFL3D with SA model
+# x = x/c
+# y = y/c
+# u = (u/Uinf)/0.93
+# v = (v/Uinf)/0.93
+# (0.93 needed to put normalization in terms of experimental ref location below and behind airfoil)
+# VARIABLES = "x","y","u","v"
+# ZONE T="x=.8418"
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diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.90.dat b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.90.dat
new file mode 100644
index 00000000000..fc4e8c5e06d
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.90.dat
@@ -0,0 +1,201 @@
+# NACA 4412, alpha=13.87, Re=1.52 million, 897x257 grid, CFL3D with SA model
+# x = x/c
+# y = y/c
+# u = (u/Uinf)/0.93
+# v = (v/Uinf)/0.93
+# (0.93 needed to put normalization in terms of experimental ref location below and behind airfoil)
+# VARIABLES = "x","y","u","v"
+# ZONE T="x=.8973"
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diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.95.dat b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.95.dat
new file mode 100644
index 00000000000..d57917f2d20
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/cfdData/cfl3d_vel_sa_xbyc0.95.dat
@@ -0,0 +1,201 @@
+# NACA 4412, alpha=13.87, Re=1.52 million, 897x257 grid, CFL3D with SA model
+# x = x/c
+# y = y/c
+# u = (u/Uinf)/0.93
+# v = (v/Uinf)/0.93
+# (0.93 needed to put normalization in terms of experimental ref location below and behind airfoil)
+# VARIABLES = "x","y","u","v"
+# ZONE T="x=.9528"
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+ 9.545370936E-01 1.987830736E-02 -3.723121807E-02 1.626840048E-02
+ 9.546259642E-01 2.023707330E-02 -3.269896656E-02 1.548981201E-02
+ 9.547193646E-01 2.061419189E-02 -2.795275487E-02 1.468522567E-02
+ 9.548175931E-01 2.101060562E-02 -2.297769859E-02 1.385513693E-02
+ 9.549208283E-01 2.142730169E-02 -1.775350235E-02 1.299567241E-02
+ 9.550293088E-01 2.186531574E-02 -1.226334367E-02 1.210491545E-02
+ 9.551433921E-01 2.232573926E-02 -6.484589539E-03 1.118133217E-02
+ 9.552632570E-01 2.280971967E-02 -3.871272202E-04 1.022384036E-02
+ 9.553893209E-01 2.331846021E-02 6.049024407E-03 9.229921736E-03
+ 9.555217624E-01 2.385322936E-02 1.285274606E-02 8.198110387E-03
+ 9.556609988E-01 2.441535890E-02 2.006549202E-02 7.128160447E-03
+ 9.558073878E-01 2.500624955E-02 2.771308459E-02 6.016038358E-03
+ 9.559612870E-01 2.562736906E-02 3.583754227E-02 4.860233050E-03
+ 9.561229944E-01 2.628026716E-02 4.447726905E-02 3.658801550E-03
+ 9.562930465E-01 2.696656995E-02 5.367071182E-02 2.409649314E-03
+ 9.564717412E-01 2.768798359E-02 6.345703453E-02 1.110834768E-03
+ 9.566595554E-01 2.844630741E-02 7.389888167E-02 -2.383130050E-04
+ 9.568570256E-01 2.924342826E-02 8.508701622E-02 -1.636554371E-03
+ 9.570646286E-01 3.008133359E-02 9.705948085E-02 -3.087454475E-03
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+ 9.575121403E-01 3.188794106E-02 1.236038432E-01 -6.155729759E-03
+ 9.577532411E-01 3.286114335E-02 1.383197159E-01 -7.772476878E-03
+ 9.580066800E-01 3.388413787E-02 1.541205347E-01 -9.443466552E-03
+ 9.582730532E-01 3.495947272E-02 1.711107939E-01 -1.116646733E-02
+ 9.585530758E-01 3.608982265E-02 1.894332916E-01 -1.293540467E-02
+ 9.588474035E-01 3.727800399E-02 2.091338933E-01 -1.475286298E-02
+ 9.591568112E-01 3.852697462E-02 2.303297967E-01 -1.661576517E-02
+ 9.594820142E-01 3.983984888E-02 2.531565130E-01 -1.852010749E-02
+ 9.598239064E-01 4.121989012E-02 2.777135074E-01 -2.046164684E-02
+ 9.601832628E-01 4.267053679E-02 3.041249514E-01 -2.243480273E-02
+ 9.605610371E-01 4.419540241E-02 3.325777352E-01 -2.442752570E-02
+ 9.609580636E-01 4.579828680E-02 3.633176386E-01 -2.642520145E-02
+ 9.613754749E-01 4.748317599E-02 3.963423669E-01 -2.842622995E-02
+ 9.618142247E-01 4.925426841E-02 4.317822158E-01 -3.041890077E-02
+ 9.622753859E-01 5.111597478E-02 4.697780013E-01 -3.239087015E-02
+ 9.627602100E-01 5.307292938E-02 5.104573369E-01 -3.432847187E-02
+ 9.632697701E-01 5.513000488E-02 5.538908839E-01 -3.621640056E-02
+ 9.638054371E-01 5.729232728E-02 6.001932025E-01 -3.802413866E-02
+ 9.643685222E-01 5.956527963E-02 6.493836045E-01 -3.971987218E-02
+ 9.649603963E-01 6.195452437E-02 7.012466788E-01 -4.130186886E-02
+ 9.655825496E-01 6.446600705E-02 7.555276155E-01 -4.273841903E-02
+ 9.662365317E-01 6.710597873E-02 8.117366433E-01 -4.399082810E-02
+ 9.669239521E-01 6.988102198E-02 8.689808249E-01 -4.500556737E-02
+ 9.676465988E-01 7.279804349E-02 9.259084463E-01 -4.571373388E-02
+ 9.684061408E-01 7.586430013E-02 9.794876575E-01 -4.598145559E-02
+ 9.692046046E-01 7.908744365E-02 1.025662303E+00 -4.571823776E-02
+ 9.700438976E-01 8.247548342E-02 1.062613487E+00 -4.498505592E-02
+ 9.709261656E-01 8.603686839E-02 1.088867545E+00 -4.385472834E-02
+ 9.718535542E-01 8.978045732E-02 1.104904294E+00 -4.242994264E-02
+ 9.728283882E-01 9.371558577E-02 1.112358928E+00 -4.080991820E-02
+ 9.738530517E-01 9.785203636E-02 1.113987327E+00 -3.906219453E-02
+ 9.749301672E-01 1.022001207E-01 1.112861633E+00 -3.718847409E-02
+ 9.760624170E-01 1.067706645E-01 1.111576796E+00 -3.516165912E-02
+ 9.772526026E-01 1.115750521E-01 1.110834360E+00 -3.296119347E-02
+ 9.785036445E-01 1.166252345E-01 1.110678673E+00 -3.059036657E-02
+ 9.798187017E-01 1.219338030E-01 1.110953331E+00 -2.805960923E-02
+ 9.812010527E-01 1.275139749E-01 1.111446142E+00 -2.538319305E-02
+ 9.826540947E-01 1.333796233E-01 1.112009048E+00 -2.257225290E-02
+ 9.841815233E-01 1.395453960E-01 1.112594128E+00 -1.963485964E-02
+ 9.857870936E-01 1.460266113E-01 1.113226295E+00 -1.656613871E-02
+ 9.874747992E-01 1.528394222E-01 1.113925934E+00 -1.336478721E-02
+ 9.892488122E-01 1.600008011E-01 1.114702940E+00 -1.002925355E-02
+ 9.911136031E-01 1.675285548E-01 1.115558743E+00 -6.560289767E-03
+ 9.930738211E-01 1.754414588E-01 1.116492748E+00 -2.957872581E-03
+ 9.951343536E-01 1.837592125E-01 1.117494822E+00 7.756965351E-04
+ 9.973002672E-01 1.925025135E-01 1.118558884E+00 4.625072237E-03
+ 9.995770454E-01 2.016931474E-01 1.119675994E+00 8.599760942E-03
+ 1.001970291E+00 2.113540024E-01 1.120841026E+00 1.269780658E-02
+ 1.004485965E+00 2.215091139E-01 1.122047544E+00 1.691865176E-02
+ 1.007130265E+00 2.321837991E-01 1.123286963E+00 2.125987411E-02
+ 1.009909987E+00 2.434046268E-01 1.124554276E+00 2.571963146E-02
+ 1.012831807E+00 2.551995218E-01 1.125836015E+00 3.029074892E-02
+ 1.015903234E+00 2.675978839E-01 1.127111316E+00 3.495529294E-02
+ 1.019131780E+00 2.806305885E-01 1.128380537E+00 3.972667083E-02
+ 1.022525430E+00 2.943300605E-01 1.129636526E+00 4.460107908E-02
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_cp.dat b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_cp.dat
new file mode 100644
index 00000000000..10ebdd7c374
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_cp.dat
@@ -0,0 +1,55 @@
+# experimental surface pressure coefficient data from Coles & Wadcock NACA 4412 experiment
+# alpha=13.87, Re=1.52 million
+# x and y have been normalized by chord
+# variables="x","y","cp"
+ 1.000000E+00 -2.000000E-04 -3.490138E-01
+ 9.914000E-01 -1.300000E-03 -2.554269E-01
+ 9.118000E-01 -2.000000E-03 -2.505875E-02
+ 8.187000E-01 -3.500000E-03 9.012508E-02
+ 7.647000E-01 -4.700000E-03 1.261201E-01
+ 6.596000E-01 -7.800000E-03 1.837125E-01
+ 5.876000E-01 -1.040000E-02 2.341051E-01
+ 5.166000E-01 -1.330000E-02 2.772994E-01
+ 4.456000E-01 -1.650000E-02 3.204932E-01
+ 3.764000E-01 -1.900000E-02 3.636870E-01
+ 3.064000E-01 -2.230000E-02 4.212794E-01
+ 2.708000E-01 -2.410000E-02 4.500751E-01
+ 2.394000E-01 -2.560000E-02 4.788713E-01
+ 2.074000E-01 -2.700000E-02 5.076675E-01
+ 1.596000E-01 -2.860000E-02 5.724578E-01
+ 1.280000E-01 -2.900000E-02 6.372490E-01
+ 8.100000E-02 -2.780000E-02 7.884283E-01
+ 5.060000E-02 -2.490000E-02 9.180102E-01
+ 2.830000E-02 -2.040000E-02 9.900002E-01
+ 8.200000E-03 -1.160000E-02 1.693139E-01
+ -3.000000E-04 3.100000E-03 -6.209000E+00
+ 1.450000E-02 2.620000E-02 -5.121951E+00
+ 2.960000E-02 3.670000E-02 -3.682151E+00
+ 4.890000E-02 4.680000E-02 -3.408589E+00
+ 7.520000E-02 5.770000E-02 -3.077435E+00
+ 1.009000E-01 6.630000E-02 -2.767878E+00
+ 1.283000E-01 7.380000E-02 -2.559107E+00
+ 1.524000E-01 7.940000E-02 -2.422326E+00
+ 1.832000E-01 8.530000E-02 -2.235152E+00
+ 2.145000E-01 9.000000E-02 -2.098371E+00
+ 2.482000E-01 9.390000E-02 -1.947192E+00
+ 2.827000E-01 9.660000E-02 -1.817610E+00
+ 3.189000E-01 9.830000E-02 -1.680829E+00
+ 3.508000E-01 9.880000E-02 -1.558445E+00
+ 3.899000E-01 9.840000E-02 -1.392869E+00
+ 4.251000E-01 9.689999E-02 -1.256088E+00
+ 4.602000E-01 9.490000E-02 -1.133705E+00
+ 4.941000E-01 9.240000E-02 -1.018521E+00
+ 5.297000E-01 8.920000E-02 -8.961382E-01
+ 5.663000E-01 8.540000E-02 -7.953520E-01
+ 5.971000E-01 8.180001E-02 -7.017651E-01
+ 6.283000E-01 7.770000E-02 -6.297750E-01
+ 6.590000E-01 7.330000E-02 -5.721827E-01
+ 7.198001E-01 6.370000E-02 -4.929938E-01
+ 7.893000E-01 5.090000E-02 -4.426007E-01
+ 8.878000E-01 2.990000E-02 -4.066057E-01
+ 9.307000E-01 1.950000E-02 -4.066057E-01
+ 9.509000E-01 1.440000E-02 -4.066057E-01
+ 9.741001E-01 8.300000E-03 -3.994069E-01
+ 9.856000E-01 5.200000E-03 -3.994069E-01
+ 1.000000E+00 -2.000000E-04 -3.562126E-01
diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.68.dat b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.68.dat
new file mode 100644
index 00000000000..302775e75a4
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.68.dat
@@ -0,0 +1,158 @@
+# Experimental data interpolated onto lines near the trailing edge of the NACA 4412 case
+# The lines were drawn by hand to be "visually" normal to the airfoil surface;
+# however, whether it is normal or not does not matter because the CFD is compared along the same lines.
+#
+# In these lines, experimental data were interpolated via Tecplot software onto
+# points starting approx d/c=.004 off the surface, and each point in the line separated by d/c=0.002
+# (except at the last station, where the points start at d/c=.006 off the surface)
+# Points were also added AT the surface, with u=v=uv=0
+#
+# x and y are normalized by chord
+# u and v are each normalized by Uref
+# uv = u'v' is normalized by Uref^2
+# Uref is the reference velocity, located about 1 chord below and behind the airfoil
+# (from CFD tests, Uref is roughly 0.93*Uinf)
+#
+# VARIABLES = "x","y","u","v","uv"
+# ZONE T="x=.6753"
+ 6.753000021E-01 7.061254978E-02 0.000000000E+00 0.000000000E+00 0.000000000E+00
+ 6.759567857E-01 7.461255044E-02 3.766300082E-01 -3.263309970E-02 -4.801076837E-03
+ 6.762852073E-01 7.661254704E-02 4.497177601E-01 -4.193454981E-02 -5.804286338E-03
+ 6.766136289E-01 7.861255109E-02 5.290364027E-01 -4.912014678E-02 -6.435789634E-03
+ 6.769419909E-01 8.061254770E-02 6.116222739E-01 -5.543234572E-02 -6.822993979E-03
+ 6.772704124E-01 8.261255175E-02 6.947275996E-01 -6.078020111E-02 -7.014558651E-03
+ 6.775988340E-01 8.461254835E-02 7.794129252E-01 -6.561090797E-02 -6.971711293E-03
+ 6.779271960E-01 8.661255240E-02 8.637731671E-01 -7.025842369E-02 -6.684282329E-03
+ 6.782556176E-01 8.861254901E-02 9.457306266E-01 -7.522905618E-02 -6.185996812E-03
+ 6.785839796E-01 9.061254561E-02 1.023281574E+00 -7.897278666E-02 -5.280557089E-03
+ 6.789124012E-01 9.261254966E-02 1.095219851E+00 -8.141420782E-02 -4.228893202E-03
+ 6.792408228E-01 9.461254627E-02 1.150194645E+00 -8.326884359E-02 -3.101346781E-03
+ 6.795691848E-01 9.661255032E-02 1.191896200E+00 -8.425498754E-02 -2.130608307E-03
+ 6.798976064E-01 9.861254692E-02 1.219955206E+00 -8.388996124E-02 -1.357913134E-03
+ 6.802260280E-01 1.006125510E-01 1.235602975E+00 -8.263828605E-02 -7.938637864E-04
+ 6.805543900E-01 1.026125476E-01 1.243665457E+00 -8.130621910E-02 -4.584156268E-04
+ 6.808828115E-01 1.046125516E-01 1.247490883E+00 -7.935258746E-02 -2.817256027E-04
+ 6.812112331E-01 1.066125482E-01 1.249961734E+00 -7.761543989E-02 -1.891786815E-04
+ 6.815395951E-01 1.086125523E-01 1.250074744E+00 -7.540167123E-02 -1.591265900E-04
+ 6.818680167E-01 1.106125489E-01 1.249999404E+00 -7.125055045E-02 -1.356313587E-04
+ 6.821964383E-01 1.126125455E-01 1.250255942E+00 -6.774529815E-02 -1.227829489E-04
+ 6.825248003E-01 1.146125495E-01 1.250752449E+00 -6.415303797E-02 -1.142631008E-04
+ 6.828532219E-01 1.166125461E-01 1.251266003E+00 -6.126778945E-02 -1.079964713E-04
+ 6.831816435E-01 1.186125502E-01 1.251625419E+00 -5.857495964E-02 -1.000038101E-04
+ 6.835100055E-01 1.206125468E-01 1.251910686E+00 -5.614645779E-02 -9.383133147E-05
+ 6.838384271E-01 1.226125509E-01 1.252184391E+00 -5.421170965E-02 -9.196456813E-05
+ 6.841668487E-01 1.246125475E-01 1.252166510E+00 -5.338876694E-02 -8.963276923E-05
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diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.73.dat b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.73.dat
new file mode 100644
index 00000000000..39cd16a57c7
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.73.dat
@@ -0,0 +1,158 @@
+# Experimental data interpolated onto lines near the trailing edge of the NACA 4412 case
+# The lines were drawn by hand to be "visually" normal to the airfoil surface;
+# however, whether it is normal or not does not matter because the CFD is compared along the same lines.
+#
+# In these lines, experimental data were interpolated via Tecplot software onto
+# points starting approx d/c=.004 off the surface, and each point in the line separated by d/c=0.002
+# (except at the last station, where the points start at d/c=.006 off the surface)
+# Points were also added AT the surface, with u=v=uv=0
+#
+# x and y are normalized by chord
+# u and v are each normalized by Uref
+# uv = u'v' is normalized by Uref^2
+# Uref is the reference velocity, located about 1 chord below and behind the airfoil
+# (from CFD tests, Uref is roughly 0.93*Uinf)
+#
+# VARIABLES = "x","y","u","v","uv"
+# ZONE T="x=.7308"
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diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.79.dat b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.79.dat
new file mode 100644
index 00000000000..3b5e402430f
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.79.dat
@@ -0,0 +1,158 @@
+# Experimental data interpolated onto lines near the trailing edge of the NACA 4412 case
+# The lines were drawn by hand to be "visually" normal to the airfoil surface;
+# however, whether it is normal or not does not matter because the CFD is compared along the same lines.
+#
+# In these lines, experimental data were interpolated via Tecplot software onto
+# points starting approx d/c=.004 off the surface, and each point in the line separated by d/c=0.002
+# (except at the last station, where the points start at d/c=.006 off the surface)
+# Points were also added AT the surface, with u=v=uv=0
+#
+# x and y are normalized by chord
+# u and v are each normalized by Uref
+# uv = u'v' is normalized by Uref^2
+# Uref is the reference velocity, located about 1 chord below and behind the airfoil
+# (from CFD tests, Uref is roughly 0.93*Uinf)
+#
+# VARIABLES = "x","y","u","v","uv"
+# ZONE T="x=.7863"
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diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.84.dat b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.84.dat
new file mode 100644
index 00000000000..4063eea1a08
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.84.dat
@@ -0,0 +1,158 @@
+# Experimental data interpolated onto lines near the trailing edge of the NACA 4412 case
+# The lines were drawn by hand to be "visually" normal to the airfoil surface;
+# however, whether it is normal or not does not matter because the CFD is compared along the same lines.
+#
+# In these lines, experimental data were interpolated via Tecplot software onto
+# points starting approx d/c=.004 off the surface, and each point in the line separated by d/c=0.002
+# (except at the last station, where the points start at d/c=.006 off the surface)
+# Points were also added AT the surface, with u=v=uv=0
+#
+# x and y are normalized by chord
+# u and v are each normalized by Uref
+# uv = u'v' is normalized by Uref^2
+# Uref is the reference velocity, located about 1 chord below and behind the airfoil
+# (from CFD tests, Uref is roughly 0.93*Uinf)
+#
+# VARIABLES = "x","y","u","v","uv"
+# ZONE T="x=.8418"
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diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.90.dat b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.90.dat
new file mode 100644
index 00000000000..0e723b79272
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.90.dat
@@ -0,0 +1,158 @@
+# Experimental data interpolated onto lines near the trailing edge of the NACA 4412 case
+# The lines were drawn by hand to be "visually" normal to the airfoil surface;
+# however, whether it is normal or not does not matter because the CFD is compared along the same lines.
+#
+# In these lines, experimental data were interpolated via Tecplot software onto
+# points starting approx d/c=.004 off the surface, and each point in the line separated by d/c=0.002
+# (except at the last station, where the points start at d/c=.006 off the surface)
+# Points were also added AT the surface, with u=v=uv=0
+#
+# x and y are normalized by chord
+# u and v are each normalized by Uref
+# uv = u'v' is normalized by Uref^2
+# Uref is the reference velocity, located about 1 chord below and behind the airfoil
+# (from CFD tests, Uref is roughly 0.93*Uinf)
+#
+# VARIABLES = "x","y","u","v","uv"
+# ZONE T="x=.8973"
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diff --git a/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.95.dat b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.95.dat
new file mode 100644
index 00000000000..88c35e51cbe
--- /dev/null
+++ b/tutorials/incompressible/pimpleFoam/LES/NACA4412/validation/exptData/exp_vel_xbyc0.95.dat
@@ -0,0 +1,156 @@
+# Experimental data interpolated onto lines near the trailing edge of the NACA 4412 case
+# The lines were drawn by hand to be "visually" normal to the airfoil surface;
+# however, whether it is normal or not does not matter because the CFD is compared along the same lines.
+#
+# In these lines, experimental data were interpolated via Tecplot software onto
+# points starting approx d/c=.004 off the surface, and each point in the line separated by d/c=0.002
+# (except at the last station, where the points start at d/c=.006 off the surface)
+# Points were also added AT the surface, with u=v=uv=0
+#
+# x and y are normalized by chord
+# u and v are each normalized by Uref
+# uv = u'v' is normalized by Uref^2
+# Uref is the reference velocity, located about 1 chord below and behind the airfoil
+# (from CFD tests, Uref is roughly 0.93*Uinf)
+#
+# VARIABLES = "x","y","u","v","uv"
+# ZONE T="x=.9528"
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--
GitLab