diff --git a/applications/test/RhoPimpleFoam/EEqn.H b/applications/test/RhoPimpleFoam/EEqn.H
new file mode 100644
index 0000000000000000000000000000000000000000..9972bdfff7b295d03e939b29996330d22c832a4e
--- /dev/null
+++ b/applications/test/RhoPimpleFoam/EEqn.H
@@ -0,0 +1,33 @@
+{
+    volScalarField& he = thermo.he();
+
+    fvScalarMatrix EEqn
+    (
+        fvm::ddt(rho, he) + fvm::div(phi, he)
+      + fvc::ddt(rho, K) + fvc::div(phi, K)
+      + (
+            he.name() == "e"
+          ? fvc::div
+            (
+                fvc::absolute(phi/fvc::interpolate(rho), U),
+                p,
+                "div(phiv,p)"
+            )
+          : -dpdt
+        )
+      //- fvm::laplacian(turbulence->alphaEff(), he)
+      - fvm::laplacian(turbulence->muEff(), he)
+     ==
+        fvOptions(rho, he)
+    );
+
+    EEqn.relax();
+
+    fvOptions.constrain(EEqn);
+
+    EEqn.solve();
+
+    fvOptions.correct(he);
+
+    thermo.correct();
+}
diff --git a/applications/test/RhoPimpleFoam/Make/files b/applications/test/RhoPimpleFoam/Make/files
new file mode 100644
index 0000000000000000000000000000000000000000..087a67d2136b2dcc3ca9580c4af54021e0244e17
--- /dev/null
+++ b/applications/test/RhoPimpleFoam/Make/files
@@ -0,0 +1,3 @@
+rhoPimpleFoam.C
+
+EXE = $(FOAM_USER_APPBIN)/RhoPimpleFoam
diff --git a/applications/test/RhoPimpleFoam/Make/options b/applications/test/RhoPimpleFoam/Make/options
new file mode 100644
index 0000000000000000000000000000000000000000..cc667ece05958b37358e128065b7fa0c25f65c49
--- /dev/null
+++ b/applications/test/RhoPimpleFoam/Make/options
@@ -0,0 +1,20 @@
+EXE_INC = \
+    -I$(LIB_SRC)/TurbulenceModels/turbulenceModel/lnInclude \
+    -I$(LIB_SRC)/TurbulenceModels/compressible/lnInclude \
+    -I$(LIB_SRC)/thermophysicalModels/basic/lnInclude \
+    -I$(LIB_SRC)/finiteVolume/cfdTools \
+    -I$(LIB_SRC)/finiteVolume/lnInclude \
+    -I$(LIB_SRC)/meshTools/lnInclude \
+    -I$(LIB_SRC)/sampling/lnInclude \
+    -I$(LIB_SRC)/fvOptions/lnInclude
+
+EXE_LIBS = \
+    -lfluidThermophysicalModels \
+    -lspecie \
+    -lturbulenceModels \
+    -lcompressibleTurbulenceModels \
+    -lincompressibleTransportModels \
+    -lfiniteVolume \
+    -lmeshTools \
+    -lsampling \
+    -lfvOptions
diff --git a/applications/test/RhoPimpleFoam/UEqn.H b/applications/test/RhoPimpleFoam/UEqn.H
new file mode 100644
index 0000000000000000000000000000000000000000..1adabbc1f09d365005cd7d09e0663f1052702160
--- /dev/null
+++ b/applications/test/RhoPimpleFoam/UEqn.H
@@ -0,0 +1,22 @@
+// Solve the Momentum equation
+
+tmp<fvVectorMatrix> UEqn
+(
+    fvm::ddt(rho, U)
+  + fvm::div(phi, U)
+  + turbulence->divDevRhoReff(U)
+ ==
+    fvOptions(rho, U)
+);
+
+UEqn().relax();
+
+fvOptions.constrain(UEqn());
+
+if (pimple.momentumPredictor())
+{
+    solve(UEqn() == -fvc::grad(p));
+
+    fvOptions.correct(U);
+    K = 0.5*magSqr(U);
+}
diff --git a/applications/test/RhoPimpleFoam/createFields.H b/applications/test/RhoPimpleFoam/createFields.H
new file mode 100644
index 0000000000000000000000000000000000000000..3a94360376f5c53578494fdbd0b3d686593e9c30
--- /dev/null
+++ b/applications/test/RhoPimpleFoam/createFields.H
@@ -0,0 +1,73 @@
+    Info<< "Reading thermophysical properties\n" << endl;
+
+    autoPtr<psiThermo> pThermo
+    (
+        psiThermo::New(mesh)
+    );
+    psiThermo& thermo = pThermo();
+    thermo.validate(args.executable(), "h", "e");
+
+    volScalarField& p = thermo.p();
+    const volScalarField& psi = thermo.psi();
+
+    volScalarField rho
+    (
+        IOobject
+        (
+            "rho",
+            runTime.timeName(),
+            mesh,
+            IOobject::READ_IF_PRESENT,
+            IOobject::AUTO_WRITE
+        ),
+        thermo.rho()
+    );
+
+    Info<< "Reading field U\n" << endl;
+    volVectorField U
+    (
+        IOobject
+        (
+            "U",
+            runTime.timeName(),
+            mesh,
+            IOobject::MUST_READ,
+            IOobject::AUTO_WRITE
+        ),
+        mesh
+    );
+
+    #include "compressibleCreatePhi.H"
+
+    dimensionedScalar rhoMax(pimple.dict().lookup("rhoMax"));
+    dimensionedScalar rhoMin(pimple.dict().lookup("rhoMin"));
+
+    Info<< "Creating turbulence model\n" << endl;
+
+    autoPtr<CompressibleTurbulenceModel<fluidThermo> >
+    turbulence
+    (
+        CompressibleTurbulenceModel<fluidThermo>::New
+        (
+            rho,
+            U,
+            phi,
+            thermo
+        )
+    );
+
+    Info<< "Creating field dpdt\n" << endl;
+    volScalarField dpdt
+    (
+        IOobject
+        (
+            "dpdt",
+            runTime.timeName(),
+            mesh
+        ),
+        mesh,
+        dimensionedScalar("dpdt", p.dimensions()/dimTime, 0)
+    );
+
+    Info<< "Creating field kinetic energy K\n" << endl;
+    volScalarField K("K", 0.5*magSqr(U));
diff --git a/applications/test/RhoPimpleFoam/pEqn.H b/applications/test/RhoPimpleFoam/pEqn.H
new file mode 100644
index 0000000000000000000000000000000000000000..78f4ddb0316da812837722fde3d8baba8540512b
--- /dev/null
+++ b/applications/test/RhoPimpleFoam/pEqn.H
@@ -0,0 +1,113 @@
+rho = thermo.rho();
+rho = max(rho, rhoMin);
+rho = min(rho, rhoMax);
+rho.relax();
+
+volScalarField rAU(1.0/UEqn().A());
+volVectorField HbyA("HbyA", U);
+HbyA = rAU*UEqn().H();
+
+if (pimple.nCorrPISO() <= 1)
+{
+    UEqn.clear();
+}
+
+if (pimple.transonic())
+{
+    surfaceScalarField phid
+    (
+        "phid",
+        fvc::interpolate(psi)
+       *(
+            (fvc::interpolate(HbyA) & mesh.Sf())
+          + fvc::ddtPhiCorr(rAU, rho, U, phi)
+        )
+    );
+
+    fvOptions.relativeFlux(fvc::interpolate(psi), phid);
+
+    volScalarField Dp("Dp", rho*rAU);
+
+    while (pimple.correctNonOrthogonal())
+    {
+        fvScalarMatrix pEqn
+        (
+            fvm::ddt(psi, p)
+          + fvm::div(phid, p)
+          - fvm::laplacian(Dp, p)
+          ==
+            fvOptions(psi, p, rho.name())
+        );
+
+        fvOptions.constrain(pEqn);
+
+        pEqn.solve(mesh.solver(p.select(pimple.finalInnerIter())));
+
+        if (pimple.finalNonOrthogonalIter())
+        {
+            phi == pEqn.flux();
+        }
+    }
+}
+else
+{
+    surfaceScalarField phiHbyA
+    (
+        "phiHbyA",
+        fvc::interpolate(rho)
+       *(
+            (fvc::interpolate(HbyA) & mesh.Sf())
+          + fvc::ddtPhiCorr(rAU, rho, U, phi)
+        )
+    );
+
+    fvOptions.relativeFlux(fvc::interpolate(rho), phiHbyA);
+
+    volScalarField Dp("Dp", rho*rAU);
+
+    while (pimple.correctNonOrthogonal())
+    {
+        // Pressure corrector
+        fvScalarMatrix pEqn
+        (
+            fvm::ddt(psi, p)
+          + fvc::div(phiHbyA)
+          - fvm::laplacian(Dp, p)
+          ==
+            fvOptions(psi, p, rho.name())
+        );
+
+        fvOptions.constrain(pEqn);
+
+        pEqn.solve(mesh.solver(p.select(pimple.finalInnerIter())));
+
+        if (pimple.finalNonOrthogonalIter())
+        {
+            phi = phiHbyA + pEqn.flux();
+        }
+    }
+}
+
+#include "rhoEqn.H"
+#include "compressibleContinuityErrs.H"
+
+// Explicitly relax pressure for momentum corrector
+p.relax();
+
+// Recalculate density from the relaxed pressure
+rho = thermo.rho();
+rho = max(rho, rhoMin);
+rho = min(rho, rhoMax);
+rho.relax();
+Info<< "rho max/min : " << max(rho).value()
+    << " " << min(rho).value() << endl;
+
+U = HbyA - rAU*fvc::grad(p);
+U.correctBoundaryConditions();
+fvOptions.correct(U);
+K = 0.5*magSqr(U);
+
+if (thermo.dpdt())
+{
+    dpdt = fvc::ddt(p);
+}
diff --git a/applications/test/RhoPimpleFoam/rhoPimpleFoam.C b/applications/test/RhoPimpleFoam/rhoPimpleFoam.C
new file mode 100644
index 0000000000000000000000000000000000000000..2a17c938f44b72fc32fc89f6149327d64bf77ebd
--- /dev/null
+++ b/applications/test/RhoPimpleFoam/rhoPimpleFoam.C
@@ -0,0 +1,107 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2013 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+License
+    This file is part of OpenFOAM.
+
+    OpenFOAM is free software: you can redistribute it and/or modify it
+    under the terms of the GNU General Public License as published by
+    the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
+    ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+    for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
+
+Application
+    rhoPimpleFoam
+
+Description
+    Transient solver for laminar or turbulent flow of compressible fluids
+    for HVAC and similar applications.
+
+    Uses the flexible PIMPLE (PISO-SIMPLE) solution for time-resolved and
+    pseudo-transient simulations.
+
+\*---------------------------------------------------------------------------*/
+
+#include "fvCFD.H"
+#include "psiThermo.H"
+#include "CompressibleTurbulenceModel.H"
+#include "bound.H"
+#include "pimpleControl.H"
+#include "fvIOoptionList.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+int main(int argc, char *argv[])
+{
+    #include "setRootCase.H"
+    #include "createTime.H"
+    #include "createMesh.H"
+
+    pimpleControl pimple(mesh);
+
+    #include "createFields.H"
+    #include "createFvOptions.H"
+    #include "initContinuityErrs.H"
+
+    // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+    Info<< "\nStarting time loop\n" << endl;
+
+    while (runTime.run())
+    {
+        #include "readTimeControls.H"
+        #include "compressibleCourantNo.H"
+        #include "setDeltaT.H"
+
+        runTime++;
+
+        Info<< "Time = " << runTime.timeName() << nl << endl;
+
+        if (pimple.nCorrPIMPLE() <= 1)
+        {
+            #include "rhoEqn.H"
+        }
+
+        // --- Pressure-velocity PIMPLE corrector loop
+        while (pimple.loop())
+        {
+            #include "UEqn.H"
+            #include "EEqn.H"
+
+            // --- Pressure corrector loop
+            while (pimple.correct())
+            {
+                #include "pEqn.H"
+            }
+
+            if (pimple.turbCorr())
+            {
+                turbulence->correct();
+            }
+        }
+
+        runTime.write();
+
+        Info<< "ExecutionTime = " << runTime.elapsedCpuTime() << " s"
+            << "  ClockTime = " << runTime.elapsedClockTime() << " s"
+            << nl << endl;
+    }
+
+    Info<< "End\n" << endl;
+
+    return 0;
+}
+
+
+// ************************************************************************* //