Nektar::LibUtilities::StdTetData Namespace Reference

Functions
int	getNumberOfCoefficients (int Na, int Nb, int Nc)
int	getNumberOfBndCoefficients (int Na, int Nb, int Nc)

Function Documentation

int Nektar::LibUtilities::StdTetData::getNumberOfBndCoefficients ( int  Na, int  Nb, int  Nc  )

inline

Definition at line 209 of file ShapeType.hpp.

References ASSERTL1, and ASSERTL2.

Referenced by Nektar::LibUtilities::MeshPartition::CalculateElementWeight(), and Nektar::StdRegions::StdTetExp::v_NumBndryCoeffs().

            {
                ASSERTL2(Na > 1, "Order in 'a' direction must be > 1.");
                ASSERTL2(Nb > 1, "Order in 'b' direction must be > 1.");
                ASSERTL2(Nc > 1, "Order in 'c' direction must be > 1.");
                ASSERTL1(Na <= Nc, "order in 'a' direction is higher "
                         "than order in 'c' direction");
                ASSERTL1(Nb <= Nc, "order in 'b' direction is higher "
                         "than order in 'c' direction");

                int nCoef =    Na*(Na+1)/2 + (Nb-Na)*Na // base
                          +    Na*(Na+1)/2 + (Nc-Na)*Na // front
                          + 2*(Nb*(Nb+1)/2 + (Nc-Nb)*Nb)// 2 other sides
                          - Na - 2*Nb - 3*Nc            // less edges
                          + 4;                          // plus vertices

                return nCoef;
            }

int Nektar::LibUtilities::StdTetData::getNumberOfCoefficients ( int  Na, int  Nb, int  Nc  )

inline

Adds up the number of cells in a truncated Nc by Nc by Nc pyramid, where the longest Na rows and longest Nb columns are kept. Example: (Na, Nb, Nc) = (3, 4, 5); The number of coefficients is the sum of the elements of the following matrix:

|5 4 3 2 0| |4 3 2 0 | |3 2 0 | |0 0 | |0 |

Sum = 28 = number of tet coefficients.

Definition at line 186 of file ShapeType.hpp.

References ASSERTL1, and ASSERTL2.

Referenced by Nektar::LibUtilities::MeshPartition::CalculateElementWeight(), Nektar::LibUtilities::FieldIO::CheckFieldDefinition(), Nektar::MultiRegions::ExpList3D::ExpList3D(), Nektar::LibUtilities::GetNumberOfCoefficients(), Nektar::FieldUtils::ProcessEquiSpacedOutput::SetupEquiSpacedField(), Nektar::StdRegions::StdTetExp::v_CalcNumberOfCoefficients(), and Nektar::StdRegions::StdTetExp::v_GenMatrix().

            {
                ASSERTL2(Na > 1, "Order in 'a' direction must be > 1.");
                ASSERTL2(Nb > 1, "Order in 'b' direction must be > 1.");
                ASSERTL2(Nc > 1, "Order in 'c' direction must be > 1.");
                ASSERTL1(Na <= Nc, "order in 'a' direction is higher "
                         "than order in 'c' direction");
                ASSERTL1(Nb <= Nc, "order in 'b' direction is higher "
                         "than order in 'c' direction");
                int nCoef = 0;
                for (int a = 0; a < Na; ++a)
                {
                    for (int b = 0; b < Nb - a; ++b)
                    {
                        for (int c = 0; c < Nc - a - b; ++c)
                        {
                            ++nCoef;
                        }
                    }
                }
                return nCoef;
            }