//--------------------------------------------------------------------------------
//
// ApplyConstitutiveEquations
// -- Apply Constitutive Equation to a given stress state and return the
// strain rate as a result.
//
// Current used for testing the other parts of the code.
//
//--------------------------------------------------------------------------------
EigenRep ApplyConstitutiveEquations( const EigenRep & StressState,
const vector<EigenRep> & SchmidtTensors,
const vector<Float> & CRSS,
const vector<Float> & GammaDotBase, // reference shear rate
const vector<int> & RateSensitivity)
{
EigenRep StrainRate( 0, 0, 0, 0, 0);
for( int i = 0; i < SchmidtTensors.size(); i ++ )
{
Float GammaDot;
Float RSS = InnerProduct( SchmidtTensors[i], StressState) / CRSS[i];
if( RateSensitivity[i] > 0 )
GammaDot = GammaDotBase[i] * std::pow( std::fabs( RSS ), static_cast<int>( RateSensitivity[i] ) );
else
GammaDot = GammaDotBase[i];
StrainRate += SchmidtTensors[i] * GammaDot * sign( RSS );
}
return StrainRate;
}
Array<double, 3> NWCriterion(
CFD_STRUCT_Fluido *F,
MeshTool::MeshBlock & Grid
)
{
Array<double,3> Nw(Grid.Nx,Grid.Ny,Grid.Nz);
Array<double,5> Omega(4,4,Grid.Nx,Grid.Ny,Grid.Nz);
Array<double,5> Strain(4,4,Grid.Nx,Grid.Ny,Grid.Nz);
Omega = OmegaRate(F ,Grid);
Strain = StrainRate(F ,Grid);
for(int i = 0 ; i < Grid.Nx ; i++){
for(int j = 0 ; j < Grid.Ny ; j++){
for(int k = 0 ; k< Grid.Nz ; k++){
Nw(i,j,k) = (
( Omega(1,2,i,j,k)*Omega(1,2,i,j,k)
+ Omega(1,3,i,j,k)*Omega(1,3,i,j,k)
+ Omega(2,1,i,j,k)*Omega(2,1,i,j,k)
+ Omega(2,3,i,j,k)*Omega(2,3,i,j,k)
+ Omega(3,1,i,j,k)*Omega(3,1,i,j,k)
+ Omega(3,2,i,j,k)*Omega(3,2,i,j,k) )
/
( Strain(1,1,i,j,k)*Strain(1,1,i,j,k)
+ Strain(2,2,i,j,k)*Strain(2,2,i,j,k)
+ Strain(3,3,i,j,k)*Strain(3,3,i,j,k)
+ 2.0*Strain(1,2,i,j,k)*Strain(1,2,i,j,k)
+ 2.0*Strain(1,3,i,j,k)*Strain(1,3,i,j,k)
+ 2.0*Strain(2,3,i,j,k)*Strain(2,3,i,j,k))
+ 0.00001
);
}
}
}
return Nw;
}