DG1D

Documentation

Index

• func Gamma0(alpha, beta float64) float64
• func Gamma1(alpha, beta float64) float64
• func GeometricFactors1D(Dr, X utils.Matrix) (J, Rx utils.Matrix)
• func GradJacobiP(r utils.Vector, alpha, beta float64, N int) (p []float64)
• func GradVandermonde1D(r utils.Vector, N int) (Vr utils.Matrix)
• func JacobiGL(alpha, beta float64, N int) (R utils.Vector)
• func JacobiGQ(alpha, beta float64, N int) (X, W utils.Vector)
• func JacobiP(r utils.Vector, alpha, beta float64, N int) (p []float64)
• func LagrangePolyAtJ(r float64, R []float64, j int) (s float64)
• func LegendreZeros(N int, reverseO ...bool) (X []float64)
• func Lift1D(V utils.Matrix, Np, Nfaces, Nfp int) (LIFT utils.Matrix)
• func Minmod(vecs ...utils.Vector) (R utils.Vector)
• func MinmodB(M, h float64, vecs ...utils.Vector) (R utils.Vector)
• func Normals1D(Nfaces, Nfp, K int) (NX utils.Matrix)
• func SimpleMesh1D(xmin, xmax float64, K int) (VX utils.Vector, EToV utils.Matrix)
• func Vandermonde1D(N int, R utils.Vector) (V utils.Matrix)
• type Elements1D
  • func NewElements1D(N int, VX utils.Vector, EToV utils.Matrix, ntA ...NODE_TYPE) (el *Elements1D)
  • func (el *Elements1D) BuildMaps1D()
  • func (el *Elements1D) Connect1D()
  • func (el *Elements1D) FaceMap() (VmapM, VmapP utils.Index)
  • func (el *Elements1D) LagrangeInterpolant(r float64) (Li utils.Matrix)
  • func (el Elements1D) SlopeLimitLin(ul, xl utils.Matrix, vm1, v0, vp1 utils.Vector) (ULim utils.Matrix)
  • func (el Elements1D) SlopeLimitN(U utils.Matrix, M float64) (ULim utils.Matrix)
  • func (el *Elements1D) Startup1D(nt NODE_TYPE)
• type NODE_TYPE

Functions

func Gamma0

func Gamma0(alpha, beta float64) float64

func Gamma1

func Gamma1(alpha, beta float64) float64

func GeometricFactors1D

func GeometricFactors1D(Dr, X utils.Matrix) (J, Rx utils.Matrix)

func GradJacobiP

func GradJacobiP(r utils.Vector, alpha, beta float64, N int) (p []float64)

func GradVandermonde1D

func GradVandermonde1D(r utils.Vector, N int) (Vr utils.Matrix)

func JacobiGL

func JacobiGL(alpha, beta float64, N int) (R utils.Vector)

func JacobiGQ

func JacobiGQ(alpha, beta float64, N int) (X, W utils.Vector)

func JacobiP

func JacobiP(r utils.Vector, alpha, beta float64, N int) (p []float64)

func LagrangePolyAtJ

func LagrangePolyAtJ(r float64, R []float64, j int) (s float64)

func LegendreZeros

func LegendreZeros(N int, reverseO ...bool) (X []float64)

func Lift1D

func Lift1D(V utils.Matrix, Np, Nfaces, Nfp int) (LIFT utils.Matrix)

func Minmod

func Minmod(vecs ...utils.Vector) (R utils.Vector)

func MinmodB

func MinmodB(M, h float64, vecs ...utils.Vector) (R utils.Vector)

func Normals1D

func Normals1D(Nfaces, Nfp, K int) (NX utils.Matrix)

func SimpleMesh1D

func SimpleMesh1D(xmin, xmax float64, K int) (VX utils.Vector, EToV utils.Matrix)

func Vandermonde1D

func Vandermonde1D(N int, R utils.Vector) (V utils.Matrix)

Types

type Elements1D

type Elements1D struct {
	K, Np, Nfp, NFaces                int
	R, VX, FMask                      utils.Vector
	EToV, EToE, EToF                  utils.Matrix
	X, Dr, Rx, FScale, NX, LIFT       utils.Matrix
	V, Vinv                           utils.Matrix
	VmapM, VmapP, VmapB, VmapI, VmapO utils.Index
	MapB, MapI, MapO                  utils.Index
}

func NewElements1D

func NewElements1D(N int, VX utils.Vector, EToV utils.Matrix, ntA ...NODE_TYPE) (el *Elements1D)

func (*Elements1D) BuildMaps1D

func (el *Elements1D) BuildMaps1D()

func (*Elements1D) Connect1D

func (el *Elements1D) Connect1D()

func (*Elements1D) FaceMap

func (el *Elements1D) FaceMap() (VmapM, VmapP utils.Index)

func (*Elements1D) LagrangeInterpolant

func (el *Elements1D) LagrangeInterpolant(r float64) (Li utils.Matrix)

func (Elements1D) SlopeLimitLin

func (el Elements1D) SlopeLimitLin(ul, xl utils.Matrix, vm1, v0, vp1 utils.Vector) (ULim utils.Matrix)

func (Elements1D) SlopeLimitN

func (el Elements1D) SlopeLimitN(U utils.Matrix, M float64) (ULim utils.Matrix)

func (*Elements1D) Startup1D

func (el *Elements1D) Startup1D(nt NODE_TYPE)

type NODE_TYPE

type NODE_TYPE uint

const (
	GAUSS NODE_TYPE = iota
	GAUSS_LOBATO
)