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I encountered a compiled error while using Dimensioned<tensor, volMesh>. Here is what I wrote in the createFields.H of the icoFoam:

volTensorField Ut = fvc::grad(U);
DimensionedField<tensor, volMesh> Ud = Ut.internalField();
Info << Ud << endl;
Info << Ud.T() << endl;

And the compiled error was:

error: no matching function for call to ‘T(const Foam::Field<Foam::Tensor<double> >&, const Foam::Field<Foam::Tensor<double> >&)’ Foam::T(result(), *this);

Then I found the Foam::T() functions in the FieldFunctions.H is declared as

template<class Type> void T(Field<Type>& res, const UList<Type>& f);

However, the member function T() of the class dimensionedField<Type, GeoMesh> is defined as

 template<class Type, class GeoMesh> tmp<DimensionedField<Type, GeoMesh>> DimensionedField<Type, GeoMesh>::T() const 
{ 
    tmp<DimensionedField<Type, GeoMesh>> result 
    ( 
        DimensionedField<Type, GeoMesh>::New 
        (
            name() + ".T()",
            mesh_, 
            dimensions_ 
        )
    );
    Foam::T(result(), *this);
    return result; 
}

where the operator() of the tmp return a const reference of T rather than a non-const reference which is required by Foam::T() global function. So, I modify the above code:

Foam::T(result(), *this);

into:

Foam::T(result.ref(), *this);

After this modification, the compilation can be done successfully. Actually I encountered this problem in openFOAM 8 version. But I checked the corresponding source codes of OpenFOAM V2006. The same problem seems also exists.