void TwoStepPeriodicCondition<TDim>::GetDofList(DofsVectorType& rElementalDofList, ProcessInfo& rCurrentProcessInfo)
{
KRATOS_TRY;
switch ( rCurrentProcessInfo[FRACTIONAL_STEP] )
{
case 1:
{
this->GetVelocityDofList(rElementalDofList,rCurrentProcessInfo);
break;
}
case 5:
{
this->GetPressureDofList(rElementalDofList,rCurrentProcessInfo);
break;
}
case 6:
{
this->GetVelocityDofList(rElementalDofList,rCurrentProcessInfo);
break;
}
default:
{
KRATOS_THROW_ERROR(std::logic_error,"Unexpected value for FRACTIONAL_STEP index: ",rCurrentProcessInfo[FRACTIONAL_STEP]);
}
}
KRATOS_CATCH("");
}
//************************************************************************************
//************************************************************************************
// this subroutine calculates the nodal contributions for the explicit steps of the
// fractional step procedure
void UpdatedLagrangianFluid3Dinc::InitializeSolutionStep(ProcessInfo& CurrentProcessInfo)
{
KRATOS_TRY
//save original Area
mA0 = GeometryUtils::CalculateVolume3D(GetGeometry());
KRATOS_CATCH("");
}
int TwoStepPeriodicCondition<TDim>::Check(const ProcessInfo& rCurrentProcessInfo)
{
KRATOS_TRY;
return Condition::Check(rCurrentProcessInfo);
KRATOS_CATCH("");
}
boost::python::object AuxiliaryUtilities::GetIthSubModelPartName(ModelPart& rParentModelPart, const int& required_i){
KRATOS_TRY;
int current_i = 0;
for (ModelPart::SubModelPartsContainerType::iterator sub_model_part = rParentModelPart.SubModelPartsBegin(); sub_model_part != rParentModelPart.SubModelPartsEnd(); ++sub_model_part) {
if(current_i == required_i) {
const std::string& name = (*sub_model_part).Name();
return boost::python::object(name);
}
current_i++;
}
KRATOS_THROW_ERROR(std::runtime_error, "The function GetIthSubModelPartName required a position greater than the number of SubModelParts! The number of present submodelparts is ", rParentModelPart.NumberOfSubModelParts());
KRATOS_CATCH("");
};
boost::python::object AuxiliaryUtilities::GetIthSubModelPartIsForceIntegrationGroup(ModelPart& rParentModelPart, const int& required_i){
KRATOS_TRY;
int current_i = 0;
for (ModelPart::SubModelPartsContainerType::iterator sub_model_part = rParentModelPart.SubModelPartsBegin(); sub_model_part != rParentModelPart.SubModelPartsEnd(); ++sub_model_part) {
if(current_i == required_i) {
const int is_force_integration_group = (*sub_model_part)[FORCE_INTEGRATION_GROUP];
return boost::python::object( (bool) (is_force_integration_group) );
}
current_i++;
}
KRATOS_THROW_ERROR(std::runtime_error, "The function GetIthSubModelPartIsForceIntegrationGroup required a position greater than the number of SubModelParts! The number of present submodelparts is ", rParentModelPart.NumberOfSubModelParts());
KRATOS_CATCH("");
};
//************************************************************************************
//************************************************************************************
void Monolithic2DNeumann::GetDofList(DofsVectorType& ElementalDofList,ProcessInfo& CurrentProcessInfo)
{
KRATOS_TRY
unsigned int number_of_nodes = GetGeometry().PointsNumber();
unsigned int dim = 2;
unsigned int node_size = dim;
if(ElementalDofList.size() != number_of_nodes*node_size)
ElementalDofList.resize(number_of_nodes*node_size);
for (unsigned int i=0; i<number_of_nodes; i++)
{
ElementalDofList[i*node_size] = GetGeometry()[i].pGetDof(VELOCITY_X);
ElementalDofList[i*node_size+1] = GetGeometry()[i].pGetDof(VELOCITY_Y);
}
KRATOS_CATCH("");
}
ModelPart::NodesContainerType::Pointer AuxiliaryUtilities::GetIthSubModelPartNodes(ModelPart& rParentModelPart, const int& required_i){
KRATOS_TRY;
int current_i = 0;
for (ModelPart::SubModelPartsContainerType::iterator sub_model_part = rParentModelPart.SubModelPartsBegin(); sub_model_part != rParentModelPart.SubModelPartsEnd(); ++sub_model_part) {
if(current_i == required_i) {
return (*sub_model_part).pNodes();
}
current_i++;
}
KRATOS_THROW_ERROR(std::runtime_error, "The function GetIthSubModelPartNodes required a position greater than the number of SubModelParts! The number of present submodelparts is ", rParentModelPart.NumberOfSubModelParts());
KRATOS_CATCH("");
}
void MonolithicPFEM22D::AddExplicitContribution(ProcessInfo& rCurrentProcessInfo)
{
KRATOS_TRY;
switch ( rCurrentProcessInfo[FRACTIONAL_STEP] )
{
case 10: //calculating pressure projection. notthing returned. saving data in PRESS_PROJ, PRESS_PROJ_NO_RO , NODAL_MASS and NODAL_AREA
{
this->CalculatePressureProjection(rCurrentProcessInfo);
break;
}
default:
{
KRATOS_THROW_ERROR(std::logic_error,"Unexpected value for FRACTIONAL_STEP index: ",rCurrentProcessInfo[FRACTIONAL_STEP]);
}
}
KRATOS_CATCH("");
}
void PillCluster3D::CalculateDampingMatrix(MatrixType& rDampingMatrix, ProcessInfo& r_process_info) {}
//**************************************************************************************************************************************************
//**************************************************************************************************************************************************
void PillCluster3D::GetDofList(DofsVectorType& ElementalDofList, ProcessInfo& r_process_info) {}
//**************************************************************************************************************************************************
//**************************************************************************************************************************************************
void PillCluster3D::InitializeSolutionStep(ProcessInfo& r_process_info) {
KRATOS_TRY
KRATOS_CATCH("")
}
//**************************************************************************************************************************************************
//**************************************************************************************************************************************************
void PillCluster3D::FinalizeSolutionStep(ProcessInfo& r_process_info) {}
//**************************************************************************************************************************************************
//**************************************************************************************************************************************************
void PillCluster3D::Calculate(const Variable<double>& rVariable, double& Output, const ProcessInfo& r_process_info) {
KRATOS_TRY
//************************************************************************************
//************************************************************************************
// this subroutine calculates the nodal contributions for the explicit steps of the
// fractional step procedure
void NDFluid2DCrankNicolson::InitializeSolutionStep(ProcessInfo& CurrentProcessInfo)
{
KRATOS_TRY
int FractionalStepNumber = CurrentProcessInfo[FRACTIONAL_STEP];
//getting data for the given geometry
double Area;
GeometryUtils::CalculateGeometryData(GetGeometry(),msDN_DX,msN,Area);
if(FractionalStepNumber == 5) //calculation of stabilization terms
{
array_1d<double,3>& fv0 = GetGeometry()[0].FastGetSolutionStepValue(FRACT_VEL);
array_1d<double,3>& w0 = GetGeometry()[0].FastGetSolutionStepValue(MESH_VELOCITY);
array_1d<double,3>& press_proj0 = GetGeometry()[0].FastGetSolutionStepValue(PRESS_PROJ);
array_1d<double,3>& conv_proj0 = GetGeometry()[0].FastGetSolutionStepValue(CONV_PROJ);
double p0 = GetGeometry()[0].FastGetSolutionStepValue(PRESSURE);
const double rho0 = GetGeometry()[0].FastGetSolutionStepValue(DENSITY);
array_1d<double,3>& fv1 = GetGeometry()[1].FastGetSolutionStepValue(FRACT_VEL);
array_1d<double,3>& w1 = GetGeometry()[1].FastGetSolutionStepValue(MESH_VELOCITY);
array_1d<double,3>& press_proj1 = GetGeometry()[1].FastGetSolutionStepValue(PRESS_PROJ);
array_1d<double,3>& conv_proj1 = GetGeometry()[1].FastGetSolutionStepValue(CONV_PROJ);
double p1 = GetGeometry()[1].FastGetSolutionStepValue(PRESSURE);
const double rho1 = GetGeometry()[1].FastGetSolutionStepValue(DENSITY);
array_1d<double,3>& fv2 = GetGeometry()[2].FastGetSolutionStepValue(FRACT_VEL);
array_1d<double,3>& w2 = GetGeometry()[2].FastGetSolutionStepValue(MESH_VELOCITY);
array_1d<double,3>& press_proj2 = GetGeometry()[2].FastGetSolutionStepValue(PRESS_PROJ);
array_1d<double,3>& conv_proj2 = GetGeometry()[2].FastGetSolutionStepValue(CONV_PROJ);
double p2 = GetGeometry()[2].FastGetSolutionStepValue(PRESSURE);
const double rho2 = GetGeometry()[2].FastGetSolutionStepValue(DENSITY);
double density = 0.3333333333333333333333*(rho0 + rho1 + rho2 );
//calculation of the pressure gradient (saved in ms_vel_gauss)
ms_vel_gauss[0] = msDN_DX(0,0)*(p0) + msDN_DX(1,0)*(p1) + msDN_DX(2,0)*(p2);
ms_vel_gauss[1] = msDN_DX(0,1)*(p0) + msDN_DX(1,1)*(p1) + msDN_DX(2,1)*(p2);
ms_vel_gauss *= Area;
//press_proj += G*p
press_proj0[0] += msN[0]*ms_vel_gauss[0];
press_proj0[1] += msN[0]*ms_vel_gauss[1];
press_proj1[0] += msN[1]*ms_vel_gauss[0];
press_proj1[1] += msN[1]*ms_vel_gauss[1];
press_proj2[0] += msN[2]*ms_vel_gauss[0];
press_proj2[1] += msN[2]*ms_vel_gauss[1];
// vel_gauss = sum( N[i]*(vel[i]-mesh_vel[i]), i=0, number_of_points) (note that the fractional step vel is used)
ms_vel_gauss[0] = msN[0]*(fv0[0]-w0[0]) + msN[1]*(fv1[0]-w1[0]) + msN[2]*(fv2[0]-w2[0]);
ms_vel_gauss[1] = msN[0]*(fv0[1]-w0[1]) + msN[1]*(fv1[1]-w1[1]) + msN[2]*(fv2[1]-w2[1]);
//calculating convective auxiliary vector
noalias(ms_u_DN) = prod(msDN_DX , ms_vel_gauss);
//attention changing the meaning of ms_vel_gauss!!
ms_vel_gauss[0] = ms_u_DN[0] * fv0[0] + ms_u_DN[1] * fv1[0] + ms_u_DN[2] * fv2[0];
ms_vel_gauss[1] = ms_u_DN[0] * fv0[1] + ms_u_DN[1] * fv1[1] + ms_u_DN[2] * fv2[1];
ms_vel_gauss *= Area * density;
// conv_proj += C*u
conv_proj0[0] += msN[0]*ms_vel_gauss[0];
conv_proj0[1] += msN[0]*ms_vel_gauss[1];
conv_proj1[0] += msN[1]*ms_vel_gauss[0];
conv_proj1[1] += msN[1]*ms_vel_gauss[1];
conv_proj2[0] += msN[2]*ms_vel_gauss[0];
conv_proj2[1] += msN[2]*ms_vel_gauss[1];
}
else if(FractionalStepNumber == 6) //calculation of velocities
{
//outside of the element it is performed a loop on the elements in which it is considered nodally
//v = vfrac - Dt/Mnodal * G*(p-pold)
// the term G*(p-pold) needs to be assembled by element. the contribution is thus directly added to the nodal contrib
double p0 = GetGeometry()[0].FastGetSolutionStepValue(PRESSURE);
double p0old = GetGeometry()[0].FastGetSolutionStepValue(PRESSURE_OLD_IT);
array_1d<double,3>& fv0 = GetGeometry()[0].FastGetSolutionStepValue(FRACT_VEL);
// const double rho0 = GetGeometry()[0].FastGetSolutionStepValue(DENSITY);
// const double eps0 = GetGeometry()[0].FastGetSolutionStepValue(POROSITY);
double p1 = GetGeometry()[1].FastGetSolutionStepValue(PRESSURE);
double p1old = GetGeometry()[1].FastGetSolutionStepValue(PRESSURE_OLD_IT);
array_1d<double,3>& fv1 = GetGeometry()[1].FastGetSolutionStepValue(FRACT_VEL);
// const double rho1 = GetGeometry()[1].FastGetSolutionStepValue(DENSITY);
// const double eps1 = GetGeometry()[1].FastGetSolutionStepValue(POROSITY);
double p2 = GetGeometry()[2].FastGetSolutionStepValue(PRESSURE);
double p2old = GetGeometry()[2].FastGetSolutionStepValue(PRESSURE_OLD_IT);
array_1d<double,3>& fv2 = GetGeometry()[2].FastGetSolutionStepValue(FRACT_VEL);
// const double rho2 = GetGeometry()[2].FastGetSolutionStepValue(DENSITY);
// const double eps2 = GetGeometry()[2].FastGetSolutionStepValue(POROSITY);
// double density = 0.33333333333333333333333*(rho0 + rho1 + rho2);
// double eps = 0.33333333333333333333333*(eps0 + eps1 + eps2);
double p_avg = msN[0]*(p0 - p0old)
+ msN[1]*(p1 - p1old)
+ msN[2]*(p2 - p2old) ;
p_avg *= Area;
// KRATOS_WATCH(p_avg);
// KRATOS_WATCH(eps);
fv0[0] += msDN_DX(0,0)*p_avg;
fv0[1] += msDN_DX(0,1)*p_avg;
fv1[0] += msDN_DX(1,0)*p_avg;
fv1[1] += msDN_DX(1,1)*p_avg;
fv2[0] += msDN_DX(2,0)*p_avg;
fv2[1] += msDN_DX(2,1)*p_avg;
}
KRATOS_CATCH("");
}
//************************************************************************************
//************************************************************************************
//calculation by component of the fractional step velocity corresponding to the first stage
void NDFluid2DCrankNicolson::Stage2(MatrixType& rLeftHandSideMatrix, VectorType& rRightHandSideVector,
ProcessInfo& rCurrentProcessInfo)
{
KRATOS_TRY;
unsigned int number_of_points = 3;
if(rLeftHandSideMatrix.size1() != number_of_points)
rLeftHandSideMatrix.resize(number_of_points,number_of_points,false);
if(rRightHandSideVector.size() != number_of_points)
rRightHandSideVector.resize(number_of_points,false);
//getting data for the given geometry
double Area;
GeometryUtils::CalculateGeometryData(GetGeometry(),msDN_DX,msN,Area);
const array_1d<double,3>& fv0 = GetGeometry()[0].FastGetSolutionStepValue(FRACT_VEL);
const array_1d<double,3>& w0 = GetGeometry()[0].FastGetSolutionStepValue(MESH_VELOCITY);
const array_1d<double,3>& proj0 = GetGeometry()[0].FastGetSolutionStepValue(PRESS_PROJ);
double p0 = GetGeometry()[0].FastGetSolutionStepValue(PRESSURE);
double p0old = GetGeometry()[0].FastGetSolutionStepValue(PRESSURE_OLD_IT);
const double nu0 = GetGeometry()[0].FastGetSolutionStepValue(VISCOSITY);
const double rho0 = GetGeometry()[0].FastGetSolutionStepValue(DENSITY);
const double eps0 = GetGeometry()[0].FastGetSolutionStepValue(POROSITY);
const array_1d<double,3>& fv1 = GetGeometry()[1].FastGetSolutionStepValue(FRACT_VEL);
const array_1d<double,3>& w1 = GetGeometry()[1].FastGetSolutionStepValue(MESH_VELOCITY);
const array_1d<double,3>& proj1 = GetGeometry()[1].FastGetSolutionStepValue(PRESS_PROJ);
double p1 = GetGeometry()[1].FastGetSolutionStepValue(PRESSURE);
double p1old = GetGeometry()[1].FastGetSolutionStepValue(PRESSURE_OLD_IT);
const double nu1 = GetGeometry()[1].FastGetSolutionStepValue(VISCOSITY);
const double rho1 = GetGeometry()[1].FastGetSolutionStepValue(DENSITY);
const double eps1 = GetGeometry()[1].FastGetSolutionStepValue(POROSITY);
const array_1d<double,3>& fv2 = GetGeometry()[2].FastGetSolutionStepValue(FRACT_VEL);
const array_1d<double,3>& w2 = GetGeometry()[2].FastGetSolutionStepValue(MESH_VELOCITY);
const array_1d<double,3>& proj2 = GetGeometry()[2].FastGetSolutionStepValue(PRESS_PROJ);
double p2 = GetGeometry()[2].FastGetSolutionStepValue(PRESSURE);
double p2old = GetGeometry()[2].FastGetSolutionStepValue(PRESSURE_OLD_IT);
const double nu2 = GetGeometry()[2].FastGetSolutionStepValue(VISCOSITY);
const double rho2 = GetGeometry()[2].FastGetSolutionStepValue(DENSITY);
const double eps2 = GetGeometry()[2].FastGetSolutionStepValue(POROSITY);
//3PG-------------
//ms_vel_gauss
//3PG-------------
// vel_gauss = sum( N[i]*(vel[i]-mesh_vel[i]), i=0, number_of_points) (note that the fractional step vel is used)
ms_vel_gauss[0] = msN[0]*(fv0[0]-w0[0]) + msN[1]*(fv1[0]-w1[0]) + msN[2]*(fv2[0]-w2[0]);
ms_vel_gauss[1] = msN[0]*(fv0[1]-w0[1]) + msN[1]*(fv1[1]-w1[1]) + msN[2]*(fv2[1]-w2[1]);
//calculating convective auxiliary vector
//3PG-------------
//ms_u_DN
//3PG-------------
noalias(ms_u_DN) = prod(msDN_DX , ms_vel_gauss);
//calculating average density and viscosity
double nu = 0.33333333333333*(nu0 + nu1 + nu2 );
double density = 0.33333333333333*(rho0 + rho1 + rho2 );
//DIAMETER of the element
//double dp = 0.33333333333333*(d0+d1+d2)
//POROSITY of the element: average value of the porosity
double eps = 0.3333333333333333333333*(eps0 + eps1 + eps2 );
//Getting delta time value for the restriction over tau.
double Dt = rCurrentProcessInfo[DELTA_TIME];
//calculating parameter tau (saved internally to each element)
double h = sqrt(2.00*Area);
double norm_u = ms_vel_gauss[0]*ms_vel_gauss[0] + ms_vel_gauss[1]*ms_vel_gauss[1];
norm_u = sqrt(norm_u);
double tau = 1.00 / ( 4.00*nu/(h*h) + 2.00*norm_u/h );
//tau = min{tau; Dt}
if(tau > Dt)
{
tau = Dt;
}
//getting the BDF2 coefficients (not fixed to allow variable time step)
//the coefficients INCLUDE the time step
const Vector& BDFcoeffs = rCurrentProcessInfo[BDF_COEFFICIENTS];
//CALCULATION OF THE LEFT HAND SIDE
//laplacian term L = Dt * gradN *eps * trans(gradN);
//stabilization term Spp = tau * gradN * eps * trans(gradN);
noalias(rLeftHandSideMatrix) = ((1.00/BDFcoeffs[0] + tau)/density*eps) * prod(msDN_DX,trans(msDN_DX));
//calculation of the RHS
// RHS = -G*vfrac
double Gaux;
Gaux = msDN_DX(0,0)*fv0[0] + msDN_DX(0,1)*fv0[1];
Gaux += msDN_DX(1,0)*fv1[0] + msDN_DX(1,1)*fv1[1];
Gaux += msDN_DX(2,0)*fv2[0] + msDN_DX(2,1)*fv2[1];
rRightHandSideVector[0] = - Gaux * msN[0];
rRightHandSideVector[1] = - Gaux * msN[1];
rRightHandSideVector[2] = - Gaux * msN[2];
//attention!! changing the meaning of ms_vel_gauss
//Inserting the influence of POROSITY!
// RHS += Sz * proj*eps
//contrib of Spy*proj
ms_vel_gauss[0] = msN[0]*proj0[0] + msN[1]*proj1[0] + msN[2]*proj2[0];
ms_vel_gauss[1] = msN[0]*proj0[1] + msN[1]*proj1[1] + msN[2]*proj2[1];
ms_vel_gauss *= tau*eps;
noalias(rRightHandSideVector) += prod(msDN_DX , ms_vel_gauss);
//dirichlet contribution
ms_temp_vec_np[0] = p0;
ms_temp_vec_np[1] = p1;
ms_temp_vec_np[2] = p2;
noalias(rRightHandSideVector) -= prod(rLeftHandSideMatrix,ms_temp_vec_np);
// RHS += dt * L *eps* pold
ms_temp_vec_np[0] = p0old;
ms_temp_vec_np[1] = p1old;
ms_temp_vec_np[2] = p2old;
noalias(ms_vel_gauss) = prod(trans(msDN_DX),ms_temp_vec_np);
noalias(rRightHandSideVector) += (1.00/BDFcoeffs[0]/density*eps) * prod(msDN_DX,ms_vel_gauss);
//multiplicating by the area
rLeftHandSideMatrix *= Area;
rRightHandSideVector *= Area;
//adding contributions to nodal areas following the corresponding lumping term
double nodal_contrib = 0.333333333333333333333333333 * Area*density;
GetGeometry()[0].FastGetSolutionStepValue(NODAL_MASS) += nodal_contrib;
GetGeometry()[1].FastGetSolutionStepValue(NODAL_MASS) += nodal_contrib;
GetGeometry()[2].FastGetSolutionStepValue(NODAL_MASS) += nodal_contrib;
KRATOS_CATCH("");
}
//************************************************************************************
//************************************************************************************
//calculation by component of the fractional step velocity corresponding to the first stage
void NDFluid2DCrankNicolson::Stage1(MatrixType& rLeftHandSideMatrix, VectorType& rRightHandSideVector,
ProcessInfo& rCurrentProcessInfo, unsigned int ComponentIndex)
{
KRATOS_TRY;
const unsigned int number_of_points = 3;
if(rLeftHandSideMatrix.size1() != number_of_points)
rLeftHandSideMatrix.resize(number_of_points,number_of_points,false); //false says not to preserve existing storage!!
if(rRightHandSideVector.size() != number_of_points)
rRightHandSideVector.resize(number_of_points,false); //false says not to preserve existing storage!!
//getting data for the given geometry
double Area;
GeometryUtils::CalculateGeometryData(GetGeometry(),msDN_DX,msN,Area);
//getting the velocity vector on the nodes
//getting the velocity on the nodes
const array_1d<double,3>& fv0 = GetGeometry()[0].FastGetSolutionStepValue(FRACT_VEL,0);
const array_1d<double,3>& fv0_old = GetGeometry()[0].FastGetSolutionStepValue(VELOCITY,1);
const array_1d<double,3>& w0 = GetGeometry()[0].FastGetSolutionStepValue(MESH_VELOCITY);
const array_1d<double,3>& w0_old = GetGeometry()[0].FastGetSolutionStepValue(MESH_VELOCITY,1);
const array_1d<double,3>& proj0 = GetGeometry()[0].FastGetSolutionStepValue(CONV_PROJ);
const array_1d<double,3>& proj0_old = GetGeometry()[0].FastGetSolutionStepValue(CONV_PROJ,1);
double p0old = GetGeometry()[0].FastGetSolutionStepValue(PRESSURE_OLD_IT);
const double nu0 = GetGeometry()[0].FastGetSolutionStepValue(VISCOSITY);
const double rho0 = GetGeometry()[0].FastGetSolutionStepValue(DENSITY);
const double fcomp0 = GetGeometry()[0].FastGetSolutionStepValue(BODY_FORCE)[ComponentIndex];
const double eps0 = GetGeometry()[0].FastGetSolutionStepValue(POROSITY);
const double dp0 = GetGeometry()[0].FastGetSolutionStepValue(DIAMETER);
const array_1d<double,3>& fv1 = GetGeometry()[1].FastGetSolutionStepValue(FRACT_VEL);
const array_1d<double,3>& fv1_old = GetGeometry()[1].FastGetSolutionStepValue(VELOCITY,1);
const array_1d<double,3>& w1 = GetGeometry()[1].FastGetSolutionStepValue(MESH_VELOCITY);
const array_1d<double,3>& w1_old = GetGeometry()[1].FastGetSolutionStepValue(MESH_VELOCITY,1);
const array_1d<double,3>& proj1 = GetGeometry()[1].FastGetSolutionStepValue(CONV_PROJ);
double p1old = GetGeometry()[1].FastGetSolutionStepValue(PRESSURE_OLD_IT);
const array_1d<double,3>& proj1_old = GetGeometry()[1].FastGetSolutionStepValue(CONV_PROJ,1);
const double nu1 = GetGeometry()[1].FastGetSolutionStepValue(VISCOSITY);
const double rho1 = GetGeometry()[1].FastGetSolutionStepValue(DENSITY);
const double fcomp1 = GetGeometry()[1].FastGetSolutionStepValue(BODY_FORCE)[ComponentIndex];
const double eps1 = GetGeometry()[1].FastGetSolutionStepValue(POROSITY);
const double dp1 = GetGeometry()[1].FastGetSolutionStepValue(DIAMETER);
const array_1d<double,3>& fv2 = GetGeometry()[2].FastGetSolutionStepValue(FRACT_VEL);
const array_1d<double,3>& fv2_old = GetGeometry()[2].FastGetSolutionStepValue(VELOCITY,1);
const array_1d<double,3>& w2 = GetGeometry()[2].FastGetSolutionStepValue(MESH_VELOCITY);
const array_1d<double,3>& w2_old = GetGeometry()[2].FastGetSolutionStepValue(MESH_VELOCITY,1);
const array_1d<double,3>& proj2 = GetGeometry()[2].FastGetSolutionStepValue(CONV_PROJ);
const array_1d<double,3>& proj2_old = GetGeometry()[2].FastGetSolutionStepValue(CONV_PROJ,1);
double p2old = GetGeometry()[2].FastGetSolutionStepValue(PRESSURE_OLD_IT);
const double nu2 = GetGeometry()[2].FastGetSolutionStepValue(VISCOSITY);
const double rho2 = GetGeometry()[2].FastGetSolutionStepValue(DENSITY);
const double fcomp2 = GetGeometry()[2].FastGetSolutionStepValue(BODY_FORCE)[ComponentIndex];
const double eps2 = GetGeometry()[2].FastGetSolutionStepValue(POROSITY);
const double dp2 = GetGeometry()[2].FastGetSolutionStepValue(DIAMETER);
//
// vel_gauss = sum( N[i]*(vel[i]-mesh_vel[i]), i=0, number_of_points) (note that the fractional step vel is used)
ms_vel_gauss[0] = msN[0]*(fv0[0]-w0[0]) + msN[1]*(fv1[0]-w1[0]) + msN[2]*(fv2[0]-w2[0]);
ms_vel_gauss[1] = msN[0]*(fv0[1]-w0[1]) + msN[1]*(fv1[1]-w1[1]) + msN[2]*(fv2[1]-w2[1]);
//vel_gauss = sum( N[i]*(vel[i]-mesh_vel[i]), i=0, number_of_points) (note that the fractional step vel is used)
ms_vel_gauss_old[0] = msN[0]*(fv0_old[0]-w0_old[0]) + msN[1]*(fv1_old[0]-w1_old[0]) + msN[2]*(fv2_old[0]-w2_old[0]);
ms_vel_gauss_old[1] = msN[0]*(fv0_old[1]-w0_old[1]) + msN[1]*(fv1_old[1]-w1_old[1]) + msN[2]*(fv2_old[1]-w2_old[1]);
//ms_vel_gauss = v at (n+1)/2;
ms_vel_gauss[0] += ms_vel_gauss_old[0];
ms_vel_gauss[0] *= 0.5;
ms_vel_gauss[1] += ms_vel_gauss_old[1];
ms_vel_gauss[1] *= 0.5;
//calculating viscosity
double nu = 0.333333333333333333333333*(nu0 + nu1 + nu2 );
double density = 0.3333333333333333333333*(rho0 + rho1 + rho2 );
//DIAMETER of the element
double dp = 0.3333333333333333333333*(dp0 + dp1 + dp2);
//POROSITY of the element: average value of the porosity
double eps = 0.3333333333333333333333*(eps0 + eps1 + eps2 );
//1/PERMEABILITY of the element: average value of the porosity
double kinv = 0.0;
//Calculate the elemental Kinv in function of the nodal K of each element.
//Version 1: we can calculate the elemental kinv from the nodal kinv;
//THERE IS AN ERROR: IN THE INTERPHASE ELEMENTS A WATER NODE HAS TO BE ''MORE IMPORTANT'' THAN A POROUS ONE!!!
// if(kinv0 != 0.0 || kinv1 != 0.0 || kinv2 != 0.0) //if it is a fluid element
// { double k0 = 0.0;
// double k1 = 0.0;
// double k2 = 0.0;
// if(kinv0 != 0.0)
// k0 = 1.0/kinv0;
// if(kinv1 != 0.0)
// k1 = 1.0/kinv1;
// if(kinv2 != 0.0)
// k2 = 1.0/kinv2;
// kinv = 3.0/(k0 + k1 + k2 );
// }
//
//Calculate kinv = 1/ k(eps_elem);
// if(rLeftHandSideMatrix.size1() != number_of_points)
// rLeftHandSideMatrix.resize(number_of_points,number_of_points,false);
//Version 2:we can calculate the elemental kinv from the already calculate elemental eps;
if( (eps0 != 1) | (eps1 != 1) | (eps2 != 1) )
kinv = 150*(1-eps)*(1-eps)/(eps*eps*eps*dp*dp);
//getting the BDF2 coefficients (not fixed to allow variable time step)
//the coefficients INCLUDE the time step
//const Vector& BDFcoeffs = rCurrentProcessInfo[BDF_COEFFICIENTS];
//Getting delta time value for the restriction over tau.
double Dt = rCurrentProcessInfo[DELTA_TIME];
array_1d<double,2> BDFcoeffs = ZeroVector(2);
BDFcoeffs[0]= 1.0 / Dt; //coeff for step n+1;
BDFcoeffs[1]= -1.0 / Dt; //coeff for step n;
//calculating parameter tau (saved internally to each element)
double c1 = 4.00;
double c2 = 2.00;
double h = sqrt(2.00*Area);
double norm_u = ms_vel_gauss[0]*ms_vel_gauss[0] + ms_vel_gauss[1]*ms_vel_gauss[1];
norm_u = sqrt(norm_u); //norm_u calculated at (n+1)/2;//
double tau = 1.00 / ( c1*nu/(h*h) + c2*norm_u/h );
// *****************************************
//CALCULATION OF THE LHS
//CONVECTIVE CONTRIBUTION TO THE STIFFNESS MATRIX
noalias(ms_u_DN) = prod(msDN_DX , ms_vel_gauss);
noalias(rLeftHandSideMatrix) = 0.5 * outer_prod(msN,ms_u_DN)/(eps*eps);
//CONVECTION STABILIZING CONTRIBUTION (Suu)
noalias(rLeftHandSideMatrix) += 0.5 * tau/(eps*eps) * outer_prod(ms_u_DN,ms_u_DN);
//VISCOUS CONTRIBUTION TO THE STIFFNESS MATRIX
// rLeftHandSideMatrix += Laplacian * nu;
noalias(rLeftHandSideMatrix) += 0.5 * nu/eps * prod(msDN_DX,trans(msDN_DX));
//INERTIA CONTRIBUTION
// rLeftHandSideMatrix += M/Dt
noalias(rLeftHandSideMatrix) += BDFcoeffs[0] * msMassFactors/eps;
//DARCY linear CONTRIBUTION
// rLeftHandSideMatrix -= nu/permeability (using the cinematic viscosity it is already divided for density: then we are going to multiplicate for density again);
noalias(rLeftHandSideMatrix) -= 0.5 * nu*msMassFactors*kinv;
//DARCY non linear CONTRIBUTION (brinkmann)
//rLeftHandSideMatrix -= 1.75*|u(n+1/2)|/[(150*k)^0.5*eps^(3/2)]
noalias(rLeftHandSideMatrix) -= 0.5 * msMassFactors*norm_u*1.75*sqrt(kinv)/12.2474487/sqrt(eps*eps*eps);
//multiplication by the area
rLeftHandSideMatrix *= (Area * density);
// *****************************************
//CALCULATION OF THE RHS
//external forces (component)
double force_component = 0.3333333333333333*(fcomp0 + fcomp1 + fcomp2);
// KRATOS_WATCH(force_component);
// KRATOS_WATCH(p0old);
// KRATOS_WATCH(p1old);
// KRATOS_WATCH(p2old);
//adding pressure gradient (integrated by parts)
noalias(rRightHandSideVector) = (force_component )*msN;
//3PG-------------
//p_avg turn out to be p0_avg p1_avg and p2_avg
//3PG-------------
double p_avg = msN[0]*p0old + msN[1]*p1old + msN[2]*p2old;
p_avg /= density;
// KRATOS_WATCH(p_avg);
rRightHandSideVector[0] += msDN_DX(0,ComponentIndex)*p_avg;
rRightHandSideVector[1] += msDN_DX(1,ComponentIndex)*p_avg;
rRightHandSideVector[2] += msDN_DX(2,ComponentIndex)*p_avg;
// KRATOS_WATCH(rRightHandSideVector);
//adding the inertia terms
// RHS += M*vhistory
//calculating the historical velocity
noalias(ms_temp_vec_np) = ZeroVector(3);
for(int iii = 0; iii<3; iii++)
{
const array_1d<double,3>& v = (GetGeometry()[iii].FastGetSolutionStepValue(VELOCITY,1) );
ms_temp_vec_np[iii] = BDFcoeffs[1]*v[ComponentIndex];
}
noalias(rRightHandSideVector) -= prod(msMassFactors,ms_temp_vec_np)/eps ;
// KRATOS_WATCH(prod(msMassFactors,ms_temp_vec_np)/eps);
//3PG-------------
//proj_component calculated on the 3 gauss points
//3PG-------------
//RHS += Suy * proj[component]
double proj_component = msN[0]*proj0[ComponentIndex]
+ msN[1]*proj1[ComponentIndex]
+ msN[2]*proj2[ComponentIndex];
double proj_old_component = msN[0]*proj0_old[ComponentIndex]
+ msN[1]*proj1_old[ComponentIndex]
+ msN[2]*proj2_old[ComponentIndex];
proj_component += proj_old_component;
proj_component *= 0.5; //proj_component calculate in t_n+1/2;
noalias(rRightHandSideVector) += (tau*proj_component)/(eps*eps)*ms_u_DN;
//multiplying by area
rRightHandSideVector *= (Area * density);
ms_temp_vec_np[0] = fv0_old[ComponentIndex];
ms_temp_vec_np[1] = fv1_old[ComponentIndex];
ms_temp_vec_np[2] = fv2_old[ComponentIndex];
//there is a part of the lhs which is already included;
for(int iii = 0; iii<3; iii++)
{
ms_temp_vec_np[iii] *= BDFcoeffs[0];
}
noalias(rRightHandSideVector) += (Area * density)*prod(msMassFactors,ms_temp_vec_np)/eps ;
// KRATOS_WATCH((Area * density)*prod(msMassFactors,ms_temp_vec_np)/eps);
//suubtracting the dirichlet term
// RHS -= LHS*FracVel
ms_temp_vec_np[0] = fv0[ComponentIndex] + fv0_old[ComponentIndex];
ms_temp_vec_np[1] = fv1[ComponentIndex] + fv1_old[ComponentIndex];
ms_temp_vec_np[2] = fv2[ComponentIndex] + fv2_old[ComponentIndex];
noalias(rRightHandSideVector) -= prod(rLeftHandSideMatrix,ms_temp_vec_np);
// KRATOS_WATCH(prod(rLeftHandSideMatrix,ms_temp_vec_np));
//
// KRATOS_WATCH(fv0);
// KRATOS_WATCH(fv1);
// KRATOS_WATCH(fv2);
// KRATOS_WATCH(fv0_old);
// KRATOS_WATCH(fv1_old);
// KRATOS_WATCH(fv2_old);
// KRATOS_WATCH(rRightHandSideVector);
KRATOS_CATCH("");
}
