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eigenValues of volTensorField

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Old   February 20, 2021, 00:55
Default eigenValues of volTensorField
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Hello all,

I'm trying to calculate the eigenvalues & eigenvectors of a volTensorField (not a volSymmTensorField) in OF v2012 but got the following error when compiling:
Code:
error: no matching function for call to 'eigenValues'
    volVectorField eig(eigenValues(C));
                       ^~~~~~~~~~~
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/tensor.H:68:17: note: 
      candidate function not viable: no known conversion from
      'Foam::volTensorField' (aka 'GeometricField<Tensor<double>, fvPatchField,
      Foam::volMesh>') to 'const Foam::tensor' (aka 'const Tensor<double>') for
      1st argument
Vector<complex> eigenValues(const tensor& T);
                ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/symmTensor.H:69:8: note: 
      candidate function not viable: no known conversion from
      'Foam::volTensorField' (aka 'GeometricField<Tensor<double>, fvPatchField,
      Foam::volMesh>') to 'const Foam::symmTensor' (aka 'const
      SymmTensor<double>') for 1st argument
vector eigenValues(const symmTensor& T);
       ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/dimensionedTensor.H:67:19: note: 
      candidate function not viable: no known conversion from
      'Foam::volTensorField' (aka 'GeometricField<Tensor<double>, fvPatchField,
      Foam::volMesh>') to 'const Foam::dimensionedSymmTensor' (aka 'const
      dimensioned<SymmTensor<double> >') for 1st argument
dimensionedVector eigenValues(const dimensionedSymmTensor&);
                  ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/tensorField.H:194:36: note: 
      candidate function not viable: no known conversion from
      'Foam::volTensorField' (aka 'GeometricField<Tensor<double>, fvPatchField,
      Foam::volMesh>') to 'const UList<Foam::symmTensor>' (aka 'const
      UList<SymmTensor<double> >') for 1st argument
UNARY_FUNCTION(vector, symmTensor, eigenValues)
                                   ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/FieldFunctionsM.H:40:24: note: 
      expanded from macro 'UNARY_FUNCTION'
tmp<Field<ReturnType>> Func(const UList<Type1>& f);                            \
                       ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/tensorField.H:194:36: note: 
      candidate function not viable: no known conversion from
      'Foam::volTensorField' (aka 'GeometricField<Tensor<double>, fvPatchField,
      Foam::volMesh>') to 'const tmp<Field<Foam::symmTensor> >' (aka 'const
      tmp<Field<SymmTensor<double> > >') for 1st argument
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/FieldFunctionsM.H:42:24: note: 
      expanded from macro 'UNARY_FUNCTION'
tmp<Field<ReturnType>> Func(const tmp<Field<Type1>>& tf);
                       ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/DimensionedTensorField.C:53:36: note: 
      candidate template ignored: could not match 'DimensionedField' against
      'GeometricField'
UNARY_FUNCTION(vector, symmTensor, eigenValues, transform)
                                   ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/DimensionedTensorField.C:53:36: note: 
      candidate template ignored: could not match 'tmp' against 'GeometricField'
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/tensorFieldField.C:221:36: note: 
      candidate template ignored: could not match 'FieldField' against
      'GeometricField'
UNARY_FUNCTION(vector, symmTensor, eigenValues)
                                   ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/tensorFieldField.C:221:36: note: 
      candidate template ignored: could not match 'tmp' against 'GeometricField'
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricTensorField.C:271:36: note: 
      candidate template ignored: could not match 'Foam::SymmTensor<double>'
      against 'Foam::Tensor<double>'
UNARY_FUNCTION(vector, symmTensor, eigenValues, transform)
                                   ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricTensorField.C:271:36: note: 
      candidate template ignored: could not match 'tmp' against 'GeometricField'
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/tensorFieldField.C:221:36: note: 
      candidate function template not viable: requires 2 arguments, but 1 was
      provided
UNARY_FUNCTION(vector, symmTensor, eigenValues)
                                   ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricTensorField.C:271:36: note: 
      candidate function template not viable: requires 2 arguments, but 1 was
      provided
UNARY_FUNCTION(vector, symmTensor, eigenValues, transform)
                                   ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/tensorField.H:194:36: note: 
      candidate function not viable: requires 2 arguments, but 1 was provided
UNARY_FUNCTION(vector, symmTensor, eigenValues)
                                   ^
I'm not a pro but from the error message, it seems like OpenFOAM removed eigenvalue from tensor and only symmTensor is supported?

Anyone could help me with this?

Thanks.
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Old   February 20, 2021, 11:56
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OpenFOAM v2012 returns eigendecomposition output as a `complex` base type rather than `scalar` type for a given tensor field: like NumPy or Matlab does, because the eigendecomposition of a tensor is guaranteed to be in `complex` space.

With the previous versions (pre v1912), and with the openfoam.org, you can still get `scalar` eigendecomposition output from a given tensor - IMHO, doesn't make sense if one does serious work on eigendecompositions.

If you are certain about that you will have `scalar` eigendecomposition output, it is certain that your tensor is actually a symmetric one - so please consider to change the input operand type from a tensor to a symmetric tensor with which you can certainly get `scalar` eigendecomposition output.
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Old   February 20, 2021, 12:26
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Quote:
Originally Posted by HPE View Post
OpenFOAM v2012 returns eigendecomposition output as a `complex` base type rather than `scalar` type for a given tensor field: like NumPy or Matlab does, because the eigendecomposition of a tensor is guaranteed to be in `complex` space.

With the previous versions (pre v1912), and with the openfoam.org, you can still get `scalar` eigendecomposition output from a given tensor - IMHO, doesn't make sense if one does serious work on eigendecompositions.

If you are certain about that you will have `scalar` eigendecomposition output, it is certain that your tensor is actually a symmetric one - so please consider to change the input operand type from a tensor to a symmetric tensor with which you can certainly get `scalar` eigendecomposition output.
Thanks for your reply. I reviewed my linear algebra textbook that real symmetric matrices have real eigenvalues. And I think in my problem I should define that as a volSymmTensorField as well.

Now I'm having another issue.
Code:
volSymmTensorField C(tau_*lambda_/etaP_+symmTensor::one);
volVectorField eig(eigenValues(C));
volTensorField R(eigenVectors(C,eig));
After changing C to symmetric, there's no error in line 2, but then I have a similar problem in line 3 when calculating its eigenvectors:
Code:
 error: no matching
      function for call to 'eigenVectors'
    volTensorField R(eigenVectors(C,eig));
                     ^~~~~~~~~~~~
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/tensor.H:94:17: note: 
      candidate function not viable: no known conversion from
      'Foam::volSymmTensorField' (aka 'GeometricField<SymmTensor<double>,
      fvPatchField, Foam::volMesh>') to 'const Foam::tensor' (aka
      'const Tensor<double>') for 1st argument
Tensor<complex> eigenVectors
                ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/symmTensor.H:95:8: note: 
      candidate function not viable: no known conversion from
      'Foam::volSymmTensorField' (aka 'GeometricField<SymmTensor<double>,
      fvPatchField, Foam::volMesh>') to 'const Foam::symmTensor' (aka 'const
      SymmTensor<double>') for 1st argument
tensor eigenVectors
       ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/tensorField.H:195:36: note: 
      candidate function not viable: no known conversion from
      'Foam::volSymmTensorField' (aka 'GeometricField<SymmTensor<double>,
      fvPatchField, Foam::volMesh>') to 'Field<Foam::tensor> &' (aka
      'Field<Tensor<double> > &') for 1st argument
UNARY_FUNCTION(tensor, symmTensor, eigenVectors)
                                   ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/FieldFunctionsM.H:38:6: note: 
      expanded from macro 'UNARY_FUNCTION'
void Func(Field<ReturnType>& res, const UList<Type1>& f);                      \
     ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/tensorFieldField.C:222:40: note: 
      candidate template ignored: could not match 'FieldField' against
      'GeometricField'
UNARY_FUNCTION(symmTensor, symmTensor, eigenVectors)
                                       ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricTensorField.C:272:40: note: 
      candidate template ignored: could not match 'Foam::SymmTensor<double>'
      against 'Foam::Vector<double>'
UNARY_FUNCTION(symmTensor, symmTensor, eigenVectors, sign)
                                       ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/DimensionedTensorField.C:54:40: note: 
      candidate function template not viable: requires single argument 'df1',
      but 2 arguments were provided
UNARY_FUNCTION(symmTensor, symmTensor, eigenVectors, sign)
                                       ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/DimensionedTensorField.C:54:40: note: 
      candidate function template not viable: requires single argument 'tdf1',
      but 2 arguments were provided
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/tensorFieldField.C:222:40: note: 
      candidate function template not viable: requires single argument 'f', but
      2 arguments were provided
UNARY_FUNCTION(symmTensor, symmTensor, eigenVectors)
                                       ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/tensorFieldField.C:222:40: note: 
      candidate function template not viable: requires single argument 'tf', but
      2 arguments were provided
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricTensorField.C:272:40: note: 
      candidate function template not viable: requires single argument 'gf1',
      but 2 arguments were provided
UNARY_FUNCTION(symmTensor, symmTensor, eigenVectors, sign)
                                       ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricTensorField.C:272:40: note: 
      candidate function template not viable: requires single argument 'tgf1',
      but 2 arguments were provided
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/tensor.H:106:17: note: 
      candidate function not viable: requires single argument 'T', but 2
      arguments were provided
Tensor<complex> eigenVectors(const tensor& T);
                ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/symmTensor.H:107:8: note: 
      candidate function not viable: requires single argument 'T', but 2
      arguments were provided
tensor eigenVectors(const symmTensor& T);
       ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/dimensionedTensor.H:68:19: note: 
      candidate function not viable: requires 1 argument, but 2 were provided
dimensionedTensor eigenVectors(const dimensionedSymmTensor&);
                  ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/tensorField.H:195:36: note: 
      candidate function not viable: requires single argument 'f', but 2
      arguments were provided
UNARY_FUNCTION(tensor, symmTensor, eigenVectors)
                                   ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/tensorField.H:195:36: note: 
      candidate function not viable: requires single argument 'tf', but 2
      arguments were provided
From my algebra knowledge, matrix R is real and orthogonal so my data type should be correct. Could you please point out which part is going wrong? Thanks!
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Old   February 20, 2021, 13:41
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May be `volTensorField R(eigenVectors(C));` with a single argument?

irrelevant bonus: EigenMatrix class and `Test-EigenMatrix.C`.
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Old   February 20, 2021, 13:49
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Quote:
Originally Posted by HPE View Post
May be `volTensorField R(eigenVectors(C));` with a single argument?

irrelevant bonus: EigenMatrix class and `Test-EigenMatrix.C`.
Still not working
Code:
error: no matching constructor
      for initialization of 'Foam::volTensorField' (aka 'GeometricField<Tensor<double>,
      fvPatchField, Foam::volMesh>')
    volTensorField R(eigenVectors(C));
                   ^ ~~~~~~~~~~~~~~~
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:402:9: note: 
      candidate constructor not viable: no known conversion from
      'tmp<GeometricField<Foam::symmTensor, fvPatchField, Foam::volMesh> >' (aka
      'tmp<GeometricField<SymmTensor<double>, fvPatchField, Foam::volMesh> >') to
      'const GeometricField<Foam::Tensor<double>, fvPatchField, Foam::volMesh>' for 1st
      argument
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:408:9: note: 
      candidate constructor not viable: no known conversion from
      'tmp<GeometricField<Foam::symmTensor, [2 * ...]>>' to 'const
      tmp<GeometricField<Foam::Tensor<double>, [2 * ...]>>' for 1st argument
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:414:9: note: 
      candidate constructor not viable: requires 2 arguments, but 1 was provided
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:421:9: note: 
      candidate constructor not viable: requires 2 arguments, but 1 was provided
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:428:9: note: 
      candidate constructor not viable: requires 2 arguments, but 1 was provided
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:435:9: note: 
      candidate constructor not viable: requires 2 arguments, but 1 was provided
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:348:9: note: 
      candidate constructor not viable: requires 3 arguments, but 1 was provided
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:386:9: note: 
      candidate constructor not viable: requires at least 2 arguments, but 1 was
      provided
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:394:9: note: 
      candidate constructor not viable: requires 3 arguments, but 1 was provided
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:442:9: note: 
      candidate constructor not viable: requires 3 arguments, but 1 was provided
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:304:9: note: 
      candidate constructor not viable: requires at least 3 arguments, but 1 was
      provided
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:327:9: note: 
      candidate constructor not viable: requires at least 3 arguments, but 1 was
      provided
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:451:9: note: 
      candidate constructor not viable: requires 4 arguments, but 1 was provided
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:460:9: note: 
      candidate constructor not viable: requires at least 3 arguments, but 1 was
      provided
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:469:9: note: 
      candidate constructor not viable: requires at least 3 arguments, but 1 was
      provided
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:315:9: note: 
      candidate constructor not viable: requires at least 4 arguments, but 1 was
      provided
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:338:9: note: 
      candidate constructor not viable: requires at least 4 arguments, but 1 was
      provided
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:356:9: note: 
      candidate constructor not viable: requires at least 4 arguments, but 1 was
      provided
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:366:9: note: 
      candidate constructor not viable: requires at least 4 arguments, but 1 was
      provided
        GeometricField
        ^
/Users/gux215/OpenFOAM/OpenFOAM-v2012/src/OpenFOAM/lnInclude/GeometricField.H:376:9: note: 
      candidate constructor not viable: requires 5 arguments, but 1 was provided
        GeometricField
        ^
Seems like there're tons of outdated OpenFOAM tutorials on the Internet. Anyway I'll try the new EigenMatrix solver!
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Old   February 20, 2021, 14:14
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sorry.. there must be something I miss.. may be computing each component of volTensorField in a for loop?
will try to have a look at the matter in the near future after sitting in front of a computer (always promising, but couldn't realise them due to insufficient time - so please don't consider this a promise.)

if the issue hurts a lot, please open a bug ticket in develop.openfoam.com
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Old   February 20, 2021, 21:41
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Quote:
Originally Posted by HPE View Post
sorry.. there must be something I miss.. may be computing each component of volTensorField in a for loop?
will try to have a look at the matter in the near future after sitting in front of a computer (always promising, but couldn't realise them due to insufficient time - so please don't consider this a promise.)

if the issue hurts a lot, please open a bug ticket in develop.openfoam.com
I looked through Test-EigenMatrix.C but had no clue on how to convert a volSymmTensorField to EigenMatrix and restore a volTensorField from SquareMatrix. Is there any example?
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Old   February 26, 2021, 15:57
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Hey Xuegy,

If I understood your question well, a not elegant but functional solution (more of a temporary solution) to convert volSymmTensor A_{symm} to volTensor A would be to add a volTensorField to your variables and then fill it cell by cell with something like


Code:
A.component(0) = A_symm.component(0);
A.component(1) = A_symm.component(1);
A.component(2) = A_symm.component(2);


A.component(3) = A_symm.component(1);
A.component(4) = A_symm.component(3);
A.component(5) = A_symm.component(4);

A.component(6) = A_symm.component(2);
A.component(7) = A_symm.component(4);
A.component(8) = A_symm.component(5);
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Old   February 26, 2021, 17:46
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Quote:
Originally Posted by mattiafc View Post
Hey Xuegy,

If I understood your question well, a not elegant but functional solution (more of a temporary solution) to convert volSymmTensor A_{symm} to volTensor A would be to add a volTensorField to your variables and then fill it cell by cell with something like


Code:
A.component(0) = A_symm.component(0);
A.component(1) = A_symm.component(1);
A.component(2) = A_symm.component(2);


A.component(3) = A_symm.component(1);
A.component(4) = A_symm.component(3);
A.component(5) = A_symm.component(4);

A.component(6) = A_symm.component(2);
A.component(7) = A_symm.component(4);
A.component(8) = A_symm.component(5);
Hi. Thanks for your reply. It's actually here
https://develop.openfoam.com/Develop.../-/issues/2011
The alternative solution would be using forall but it should be done directly.
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