shammath::details::KernelDefTGauss3< Tscal > Class Template Reference

Truncated Gaussian kernel with compact support R=3h. More...

#include <shammath/include/shammath/sphkernels.hpp>

Static Public Member Functions
static Tscal	f (Tscal q)
static Tscal	df (Tscal q)
static Tscal	ddf (Tscal q)
static Tscal	phi_tilde_3d (Tscal q)
static Tscal	phi_tilde_3d_prime (Tscal q)

Static Public Attributes
static constexpr Tscal	Rkern = 3
	Compact support radius of the kernel.
static constexpr Tscal	hfactd = 1.5
	default hfact to be used for this kernel
static constexpr Tscal	norm_1d = 0.564202047051383
	1D norm of the kernel
static constexpr Tscal	norm_2d = 0.318349173592935
	2D norm of the kernel (accounts for truncation at q=3)
static constexpr Tscal	norm_3d = 0.179666148218087
	3D norm of the kernel

Detailed Description

template<class Tscal>
class shammath::details::KernelDefTGauss3< Tscal >

Truncated Gaussian kernel with compact support R=3h.

W(q) = exp(-q^2) for q < 3, 0 otherwise

This kernel provides smooth derivatives and is well-suited for relativistic SPH simulations where gradient accuracy is important.

Definition at line 1473 of file sphkernels.hpp.

Member Function Documentation

ddf()

template<class Tscal >

static Tscal shammath::details::KernelDefTGauss3< Tscal >::ddf ( Tscal  q )

inlinestatic

Definition at line 1501 of file sphkernels.hpp.

df()

template<class Tscal >

static Tscal shammath::details::KernelDefTGauss3< Tscal >::df ( Tscal  q )

inlinestatic

Definition at line 1493 of file sphkernels.hpp.

f()

template<class Tscal >

static Tscal shammath::details::KernelDefTGauss3< Tscal >::f ( Tscal  q )

inlinestatic

Definition at line 1485 of file sphkernels.hpp.

phi_tilde_3d()

template<class Tscal >

static Tscal shammath::details::KernelDefTGauss3< Tscal >::phi_tilde_3d ( Tscal  q )

inlinestatic

Definition at line 1509 of file sphkernels.hpp.

phi_tilde_3d_prime()

template<class Tscal >

static Tscal shammath::details::KernelDefTGauss3< Tscal >::phi_tilde_3d_prime ( Tscal  q )

inlinestatic

Definition at line 1521 of file sphkernels.hpp.

Member Data Documentation

hfactd

template<class Tscal >

constexpr Tscal shammath::details::KernelDefTGauss3< Tscal >::hfactd = 1.5

inlinestaticconstexpr

default hfact to be used for this kernel

Definition at line 1476 of file sphkernels.hpp.

norm_1d

template<class Tscal >

constexpr Tscal shammath::details::KernelDefTGauss3< Tscal >::norm_1d = 0.564202047051383

inlinestaticconstexpr

1D norm of the kernel

Definition at line 1479 of file sphkernels.hpp.

norm_2d

template<class Tscal >

constexpr Tscal shammath::details::KernelDefTGauss3< Tscal >::norm_2d = 0.318349173592935

inlinestaticconstexpr

2D norm of the kernel (accounts for truncation at q=3)

Definition at line 1481 of file sphkernels.hpp.

norm_3d

template<class Tscal >

constexpr Tscal shammath::details::KernelDefTGauss3< Tscal >::norm_3d = 0.179666148218087

inlinestaticconstexpr

3D norm of the kernel

Definition at line 1483 of file sphkernels.hpp.

Rkern

template<class Tscal >

constexpr Tscal shammath::details::KernelDefTGauss3< Tscal >::Rkern = 3

inlinestaticconstexpr

Compact support radius of the kernel.

Definition at line 1475 of file sphkernels.hpp.

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The documentation for this class was generated from the following file:

• shammath/include/shammath/sphkernels.hpp