Nektar::LibUtilities::StdPyrData Namespace Reference

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

Function Documentation

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

inline

Definition at line 266 of file ShapeType.hpp.

References ASSERTL1.

            {
                ASSERTL1(Na > 1, "Order in 'a' direction must be > 1.");
                ASSERTL1(Nb > 1, "Order in 'b' direction must be > 1.");
                ASSERTL1(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.");

                return Na*Nb                        // base
                     + 2*(Na*(Na+1)/2 + (Nc-Na)*Na) // front and back
                     + 2*(Nb*(Nb+1)/2 + (Nc-Nb)*Nb) // sides
                     - 2*Na - 2*Nb - 4*Nc           // less edges
                     + 5;                           // plus vertices
            }

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

inline

Definition at line 232 of file ShapeType.hpp.

References ASSERTL1.

Referenced by Nektar::LibUtilities::GetNumberOfCoefficients().

            {
                ASSERTL1(Na > 1, "Order in 'a' direction must be > 1.");
                ASSERTL1(Nb > 1, "Order in 'b' direction must be > 1.");
                ASSERTL1(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.");

                // Count number of coefficients explicitly.
                const int Pi = Na - 2, Qi = Nb - 2, Ri = Nc - 2;
                int nCoeff = 
                    5 +                        // vertices
                    Pi * 2 + Qi * 2 + Ri * 4 + // base edges
                    Pi * Qi +                  // base quad
                    Pi * (2*Ri - Pi - 1) +     // p-r triangles;
                    Qi * (2*Ri - Qi - 1);      // q-r triangles;

                // Count number of interior tet modes
                for (int a = 0; a < Pi - 1; ++a)
                {
                    for (int b = 0; b < Qi - a - 1; ++b)
                    {
                        for (int c = 0; c < Ri - a - b -1; ++c)
                        {
                            ++nCoeff;
                        }
                    }
                }

                return nCoeff;
            }