/// Dimensions of parametric_coordinates and input_phy_points are required to be ([P],[D])
/// output_values: ([P], [DOF])
void StringFunction::operator()(MDArray& input_phy_points, MDArray& output_values,
const stk::mesh::Entity& element, const MDArray& parametric_coordinates, double time_value_optional)
{
PRINT("tmp srk StringFunction::operator(element) getName()= " << getName() << " input_phy_points= " << input_phy_points << " output_values= " << output_values);
argsAreValid(input_phy_points, output_values);
argsAreValid(parametric_coordinates, output_values);
m_element = &element;
m_have_element = true;
VERIFY_OP(parametric_coordinates.rank(), ==, 2, "StringFunction::operator() parametric_coordinates rank bad");
m_parametric_coordinates = MDArray(1, parametric_coordinates.dimension(1));
int nPoints=parametric_coordinates.dimension(0);
int spaceDim = parametric_coordinates.dimension(1);
for (int iPoint = 0; iPoint < nPoints; iPoint++)
{
for (int iSpace=0; iSpace < spaceDim; iSpace++)
m_parametric_coordinates(0, iSpace)=parametric_coordinates(iPoint, iSpace);
(*this)(input_phy_points, output_values, time_value_optional);
}
// reset this else we won't be able to reuse this object correctly
m_have_element = false;
m_element = 0;
// * Dimensions of parametric_coordinates are required to be ([P],[D])
//FieldFunction:: void operator()(const stk::mesh::Entity *element, const MDArray& parametric_coordinates, MDArray& out);
}
void StringFunction::operator()(MDArray& input_phy_points, MDArray& output_values,
const stk::mesh::Bucket& bucket, const MDArray& parametric_coordinates, double time_value_optional)
{
PRINT("tmp srk StringFunction::operator(bucket) getName()= " << getName() << " input_phy_points= " << input_phy_points << " output_values= " << output_values);
VERIFY_OP(input_phy_points.rank(), ==, 3, "StringFunction::operator() must pass in input_phy_points(numCells, numPointsPerCell, spaceDim)");
int nPoints = input_phy_points.dimension(1);
int nSpaceDim = input_phy_points.dimension(2);
int nOutDim = output_values.dimension(2);
MDArray input_phy_points_one(1, nPoints, nSpaceDim);
MDArray output_values_one (1, nPoints, nOutDim);
const unsigned num_elements_in_bucket = bucket.size();
for (unsigned iElement = 0; iElement < num_elements_in_bucket; iElement++)
{
stk::mesh::Entity& element = bucket[iElement];
for (int iPoint = 0; iPoint<nPoints; iPoint++)
{
for (int iSpaceDim=0; iSpaceDim < nSpaceDim; iSpaceDim++)
{
input_phy_points_one(0, iPoint, iSpaceDim) = input_phy_points(iElement, iPoint, iSpaceDim);
}
}
(*this)(input_phy_points_one, output_values_one, element, parametric_coordinates, time_value_optional);
for (int iPoint = 0; iPoint<nPoints; iPoint++)
{
for (int iDOF = 0; iDOF < nOutDim; iDOF++)
{
output_values(iElement, iPoint, iDOF) = output_values_one(0, iPoint, iDOF);
}
}
}
}
void FieldFunction::operator()(MDArray& input_phy_points, MDArray& output_field_values,
const stk_classic::mesh::Bucket& bucket, const MDArray& parametric_coordinates, double time_value_optional)
{
EXCEPTWATCH;
#ifndef NDEBUG
int num_elements_in_bucket = bucket.size();
VERIFY_OP(input_phy_points.dimension(0), ==, num_elements_in_bucket, "FieldFunction::operator() mismatch in input_phy_points and num_elements_in_bucket");
VERIFY_OP(output_field_values.dimension(0), ==, num_elements_in_bucket, "FieldFunction::operator() mismatch in input_phy_points and num_elements_in_bucket");
#endif
helper(input_phy_points, output_field_values, bucket, parametric_coordinates, time_value_optional);
}
static inline void first_dimensions(MDArray& arr, int arr_offset, int *n_points, int max_rank=3)
{
for (int ii = 0; ii < max_rank; ii++)
{
n_points[ii] = 1;
}
for (int ii = 0; ii < arr_offset; ii++)
{
n_points[ii] = arr.dimension(ii);
}
}
void IntrepidSideCell<MDArray>::mapToCellPhysicalFrame(
const MDArray& parametric_coords, MDArray& physical_coords )
{
DTK_REQUIRE( 2 == parametric_coords.rank() );
DTK_REQUIRE( 3 == physical_coords.rank() );
DTK_REQUIRE( parametric_coords.dimension(1) ==
Teuchos::as<int>(this->d_topology.getDimension()) );
DTK_REQUIRE( physical_coords.dimension(0) ==
this->d_cell_node_coords.dimension(0) );
DTK_REQUIRE( physical_coords.dimension(1) ==
parametric_coords.dimension(0) );
DTK_REQUIRE( physical_coords.dimension(2) ==
Teuchos::as<int>(d_parent_topology.getDimension()) );
MDArray mapped_coords( parametric_coords.dimension(0),
d_parent_topology.getDimension() );
Intrepid::CellTools<Scalar>::mapToReferenceSubcell(
mapped_coords, parametric_coords, this->d_topology.getDimension(),
d_side_id, d_parent_topology );
Intrepid::CellTools<Scalar>::mapToPhysicalFrame(
physical_coords, mapped_coords,
this->d_cell_node_coords, d_parent_topology );
}
void NewtonSolver<NonlinearProblem>::solve( MDArray& u,
NonlinearProblem& problem,
const double tolerance,
const int max_iters )
{
DTK_REQUIRE( 2 == u.rank() );
// Allocate nonlinear residual, Jacobian, Newton update, and work arrays.
int d0 = u.dimension(0);
int d1 = u.dimension(1);
MDArray F( d0, d1 );
MDArray J( d0, d1, d1 );
MDArray J_inv( d0, d1, d1 );
MDArray update( d0, d1 );
MDArray u_old = u;
MDArray conv_check( d0 );
// Compute the initial state.
NPT::updateState( problem, u );
// Computen the initial nonlinear residual and scale by -1 to get -F(u).
NPT::evaluateResidual( problem, u, F );
Intrepid::RealSpaceTools<Scalar>::scale(
F, -Teuchos::ScalarTraits<Scalar>::one() );
// Compute the initial Jacobian.
NPT::evaluateJacobian( problem, u, J );
// Check for degeneracy of the Jacobian. If it is degenerate then the
// problem is ill conditioned and return very large numbers in the state
// vector that correspond to no solution.
MDArray det( 1 );
Intrepid::RealSpaceTools<Scalar>::det( det, J );
if ( std::abs(det(0)) < tolerance )
{
for ( int m = 0; m < d0; ++m )
{
for ( int n = 0; n < d1; ++n )
{
u(m,n) = std::numeric_limits<Scalar>::max();
}
}
return;
}
// Nonlinear solve.
for ( int k = 0; k < max_iters; ++k )
{
// Solve the linear model, delta_u = J^-1 * -F(u).
Intrepid::RealSpaceTools<Scalar>::inverse( J_inv, J );
Intrepid::RealSpaceTools<Scalar>::matvec( update, J_inv, F );
// Update the solution, u += delta_u.
Intrepid::RealSpaceTools<Scalar>::add( u, update );
// Check for convergence.
Intrepid::RealSpaceTools<Scalar>::subtract( u_old, u );
Intrepid::RealSpaceTools<Scalar>::vectorNorm(
conv_check, u_old, Intrepid::NORM_TWO );
if ( tolerance > conv_check(0) )
{
break;
}
// Reset for the next iteration.
u_old = u;
// Update any state-dependent data from the last iteration using the
// new solution vector.
NPT::updateState( problem, u );
// Compute the nonlinear residual and scale by -1 to get -F(u).
NPT::evaluateResidual( problem, u, F );
Intrepid::RealSpaceTools<Scalar>::scale(
F, -Teuchos::ScalarTraits<Scalar>::one() );
// Compute the Jacobian.
NPT::evaluateJacobian( problem, u, J );
}
// Check for convergence.
DTK_ENSURE( tolerance > conv_check(0) );
}
/** Evaluate the function at this input point (or points) returning value(s) in output_field_values
*
* In the following, the arrays are dimensioned using the notation (from Intrepid's doc):
*
* [C] - num. integration domains (cells/elements)
* [F] - num. Intrepid "fields" (number of bases within an element == num. nodes typically)
* [P] - num. integration (or interpolation) points within the element
* [D] - spatial dimension
* [D1], [D2] - spatial dimension
*
* Locally, we introduce this notation:
*
* [DOF] - number of degrees-of-freedom per node of the interpolated stk Field. For example, a vector field in 3D has [DOF] = 3
*
* Dimensions of input_phy_points are required to be either ([D]) or ([P],[D])
* Dimensions of output_field_values are required to be ([DOF]) or ([P],[DOF]) respectively
*
* [R] is used for the rank of MDArray's
*/
void FieldFunction::operator()(MDArray& input_phy_points, MDArray& output_field_values, double time)
{
EXCEPTWATCH;
argsAreValid(input_phy_points, output_field_values);
m_found_on_local_owned_part = false;
//// single point only (for now)
unsigned found_it = 0;
int D_ = last_dimension(input_phy_points);
MDArray found_parametric_coordinates_one(1, D_);
setup_searcher(D_);
MDArray output_field_values_local = output_field_values;
int R_output = output_field_values.rank();
int R_input = input_phy_points.rank();
int P_ = (R_input == 1 ? 1 : input_phy_points.dimension(R_input-2));
// FIXME for tensor valued fields
int DOF_ = last_dimension(output_field_values_local);
MDArray input_phy_points_one(1,D_);
MDArray output_field_values_one(1,DOF_);
int C_ = 1;
if (R_input == 3)
{
C_ = input_phy_points.dimension(0);
}
for (int iC = 0; iC < C_; iC++)
{
for (int iP = 0; iP < P_; iP++)
{
for (int iD = 0; iD < D_; iD++)
{
switch(R_input)
{
case 1: input_phy_points_one(0, iD) = input_phy_points(iD); break;
case 2: input_phy_points_one(0, iD) = input_phy_points(iP, iD); break;
case 3: input_phy_points_one(0, iD) = input_phy_points(iC, iP, iD); break;
default: VERIFY_1("bad rank");
}
}
const stk_classic::mesh::Entity *found_element = 0;
{
EXCEPTWATCH;
//if (m_searchType==STK_SEARCH) std::cout << "find" << std::endl;
found_element = m_searcher->findElement(input_phy_points_one, found_parametric_coordinates_one, found_it, m_cachedElement);
//if (m_searchType==STK_SEARCH) std::cout << "find..done found_it=" << found_it << std::endl;
}
// if found element on the local owned part, evaluate
if (found_it)
{
m_found_on_local_owned_part = true;
if (( EXTRA_PRINT) && m_searchType==STK_SEARCH)
std::cout << "FieldFunction::operator() found element # = " << found_element->identifier() << std::endl;
(*this)(input_phy_points_one, output_field_values_one, *found_element, found_parametric_coordinates_one);
for (int iDOF = 0; iDOF < DOF_; iDOF++)
{
switch (R_output)
{
case 1: output_field_values_local( iDOF) = output_field_values_one(0, iDOF); break;
case 2: output_field_values_local(iP, iDOF) = output_field_values_one(0, iDOF); break;
case 3: output_field_values_local(iC, iP, iDOF) = output_field_values_one(0, iDOF); break;
default: VERIFY_1("bad rank");
}
}
}
else
{
if (!m_parallelEval)
{
std::cout << "P[" << Util::get_rank() << "] FieldFunction::operator() found_it = " << found_it << " points= "
<< input_phy_points_one
<< std::endl;
throw std::runtime_error("FieldFunction::operator() in local eval mode and didn't find element - logic error");
}
double max_val = std::numeric_limits<double>::max();
output_field_values_local.initialize(max_val);
}
// make sure it is found somewhere
if (m_parallelEval)
{
all_reduce( m_bulkData->parallel() , ReduceMax<1>( & found_it ) );
}
if (EXTRA_PRINT) std::cout << "FieldFunction::operator() global found_it = " << found_it << std::endl;
if (!found_it)
{
throw std::runtime_error("FieldFunction::operator() couldn't find element");
}
if (m_parallelEval)
{
stk_percept_global_lex_min( m_bulkData->parallel(), output_field_values.size(), &output_field_values_local[0], &output_field_values[0]);
}
else
{
output_field_values = output_field_values_local;
}
m_cachedElement = found_element;
}
}
}