Nektar++
BasisType.h
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2//
3// File: BasisType.h
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9// Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
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32///////////////////////////////////////////////////////////////////////////////
33
34#ifndef NEKTAR_LIB_UTILITIES_BASIS_TYPE_H
35#define NEKTAR_LIB_UTILITIES_BASIS_TYPE_H
36
38{
40{
42 eOrtho_A, //!< Principle Orthogonal Functions
43 //!< \f$\widetilde{\psi}^a_p(z_i)\f$
44 eOrtho_B, //!< Principle Orthogonal Functions
45 //!< \f$\widetilde{\psi}^b_{pq}(z_i)\f$
46 eOrtho_C, //!< Principle Orthogonal Functions
47 //!< \f$\widetilde{\psi}^c_{pqr}(z_i)\f$
48 eModified_A, //!< Principle Modified Functions \f$ \phi^a_p(z_i) \f$
49 eModified_B, //!< Principle Modified Functions \f$ \phi^b_{pq}(z_i) \f$
50 eModified_C, //!< Principle Modified Functions \f$ \phi^c_{pqr}(z_i) \f$
51 eOrthoPyr_C, //!< Principle Orthogonal Functions
52 //!< \f$\widetilde{\psi}^c_{pqr}(z_i) for Pyramids\f$
53 eModifiedPyr_C, //!< Principle Modified Functions \f$ \phi^c_{pqr}(z_i) for
54 //!< Pyramids\f$
55 eFourier, //!< Fourier Expansion \f$ \exp(i p\pi z_i)\f$
56 eGLL_Lagrange, //!< Lagrange for SEM basis \f$ h_p(z_i) \f$
57 eGauss_Lagrange, //!< Lagrange Polynomials using the Gauss points \f$
58 //!< h_p(z_i) \f$
59 eLegendre, //!< Legendre Polynomials \f$ L_p(z_i) = P^{0,0}_p(z_i)\f$. Same
60 //!< as Ortho_A
61 eChebyshev, //!< Chebyshev Polynomials \f$ T_p(z_i) =
62 //!< P^{-1/2,-1/2}_p(z_i)\f$
63 eMonomial, //!< Monomial polynomials \f$ L_p(z_i) = z_i^{p}\f$
64 eFourierSingleMode, //!< Fourier ModifiedExpansion with just the first mode
65 //!< \f$ \exp(i \pi z_i)\f$
66 eFourierHalfModeRe, //!< Fourier Modified expansions with just the real part
67 //!< of the first mode \f$ Re[\exp(i \pi z_i)]\f$
68 eFourierHalfModeIm, //!< Fourier Modified expansions with just the imaginary
69 //!< part of the first mode \f$ Im[\exp(i \pi z_i)]\f$
70 SIZE_BasisType //!< Length of enum list
71};
72} // namespace Nektar::LibUtilities
73
74#endif
@ eModified_B
Principle Modified Functions .
Definition: BasisType.h:49
@ eGauss_Lagrange
Lagrange Polynomials using the Gauss points.
Definition: BasisType.h:57
@ eOrtho_A
Principle Orthogonal Functions .
Definition: BasisType.h:42
@ eModified_C
Principle Modified Functions .
Definition: BasisType.h:50
@ eGLL_Lagrange
Lagrange for SEM basis .
Definition: BasisType.h:56
@ SIZE_BasisType
Length of enum list.
Definition: BasisType.h:70
@ eFourierSingleMode
Fourier ModifiedExpansion with just the first mode .
Definition: BasisType.h:64
@ eChebyshev
Chebyshev Polynomials.
Definition: BasisType.h:61
@ eOrtho_C
Principle Orthogonal Functions .
Definition: BasisType.h:46
@ eModifiedPyr_C
Principle Modified Functions.
Definition: BasisType.h:53
@ eOrtho_B
Principle Orthogonal Functions .
Definition: BasisType.h:44
@ eModified_A
Principle Modified Functions .
Definition: BasisType.h:48
@ eFourierHalfModeIm
Fourier Modified expansions with just the imaginary part of the first mode .
Definition: BasisType.h:68
@ eFourierHalfModeRe
Fourier Modified expansions with just the real part of the first mode .
Definition: BasisType.h:66
@ eOrthoPyr_C
Principle Orthogonal Functions .
Definition: BasisType.h:51
@ eFourier
Fourier Expansion .
Definition: BasisType.h:55