Public Types
using	Generator = BaseKernel

using	Tscal = Tscal_

Static Public Member Functions
static Tscal	f (Tscal q)
	the base function for this SPH kernel

static Tscal	df (Tscal q)
	derivative of M4::f

static Tscal	ddf (Tscal q)

static Tscal	W_1d (Tscal r, Tscal h)

static Tscal	W_2d (Tscal r, Tscal h)

static Tscal	W_3d (Tscal r, Tscal h)
	compute the normed & resized version of the kernel :

static Tscal	dW_3d (Tscal r, Tscal h)

static Tscal	ddW_3d (Tscal r, Tscal h)

static Tscal	dhW_3d (Tscal r, Tscal h)

static Tscal	f3d_integ_z (Tscal x, int np=32)

static Tscal	Y_3d (Tscal r, Tscal h, int np=32)

static Tscal	phi_tilde_3d (Tscal q)

static Tscal	phi_tilde_3d_prime (Tscal q)

static Tscal	phi_3D (Tscal r, Tscal h)

static Tscal	phi_3D_prime (Tscal r, Tscal h)

Static Public Attributes
static constexpr Tscal	Rkern = BaseKernel::Rkern

static constexpr Tscal	hfactd = BaseKernel::hfactd

static constexpr bool	has_3d_phi_soft = ::shammath::has_phi_tilde_3d<BaseKernel, Tscal>::value

static constexpr bool	has_3d_phi_soft_prime = ::shammath::has_phi_tilde_3d_prime<BaseKernel, Tscal>::value

Detailed Description

template<class Tscal_, class BaseKernel>
class shammath::SPHKernelGen< Tscal_, BaseKernel >

Definition at line 2286 of file sphkernels.hpp.

Member Typedef Documentation

◆ Generator

template<class Tscal_ , class BaseKernel >

using shammath::SPHKernelGen< Tscal_, BaseKernel >::Generator = BaseKernel

Definition at line 2288 of file sphkernels.hpp.

◆ Tscal

template<class Tscal_ , class BaseKernel >

using shammath::SPHKernelGen< Tscal_, BaseKernel >::Tscal = Tscal_

Definition at line 2289 of file sphkernels.hpp.

Member Function Documentation

◆ ddf()

template<class Tscal_ , class BaseKernel >

static Tscal shammath::SPHKernelGen< Tscal_, BaseKernel >::ddf ( Tscal q )

inlinestatic

Definition at line 2312 of file sphkernels.hpp.

◆ ddW_3d()

template<class Tscal_ , class BaseKernel >

static Tscal shammath::SPHKernelGen< Tscal_, BaseKernel >::ddW_3d	(	Tscal	r,
		Tscal	h
	)

inlinestatic

Definition at line 2337 of file sphkernels.hpp.

◆ df()

template<class Tscal_ , class BaseKernel >

static Tscal shammath::SPHKernelGen< Tscal_, BaseKernel >::df ( Tscal q )

inlinestatic

derivative of M4::f

Parameters

q	parameter of the function

Returns: Tscal the value of $ f'(q) $

Definition at line 2310 of file sphkernels.hpp.

◆ dhW_3d()

template<class Tscal_ , class BaseKernel >

static Tscal shammath::SPHKernelGen< Tscal_, BaseKernel >::dhW_3d	(	Tscal	r,
		Tscal	h
	)

inlinestatic

Definition at line 2341 of file sphkernels.hpp.

◆ dW_3d()

template<class Tscal_ , class BaseKernel >

static Tscal shammath::SPHKernelGen< Tscal_, BaseKernel >::dW_3d	(	Tscal	r,
		Tscal	h
	)

inlinestatic

Definition at line 2333 of file sphkernels.hpp.

◆ f()

template<class Tscal_ , class BaseKernel >

static Tscal shammath::SPHKernelGen< Tscal_, BaseKernel >::f ( Tscal q )

inlinestatic

the base function for this SPH kernel

Such that : $\int f(\vert\vert q\vert\vert) {\rm d}^n \mathbf{q} = 1$ Also : $ f(q > Rkern) = 0$

Parameters

q	parameter of the function

Returns: Tscal the value of $ f(q) $

Definition at line 2302 of file sphkernels.hpp.

◆ f3d_integ_z()

template<class Tscal_ , class BaseKernel >

static Tscal shammath::SPHKernelGen< Tscal_, BaseKernel >::f3d_integ_z	(	Tscal	x,
		int	np = `32`
	)

inlinestatic

Definition at line 2345 of file sphkernels.hpp.

◆ phi_3D()

template<class Tscal_ , class BaseKernel >

static Tscal shammath::SPHKernelGen< Tscal_, BaseKernel >::phi_3D	(	Tscal	r,
		Tscal	h
	)

inlinestatic

Definition at line 2377 of file sphkernels.hpp.

◆ phi_3D_prime()

template<class Tscal_ , class BaseKernel >

static Tscal shammath::SPHKernelGen< Tscal_, BaseKernel >::phi_3D_prime	(	Tscal	r,
		Tscal	h
	)

inlinestatic

Definition at line 2381 of file sphkernels.hpp.

◆ phi_tilde_3d()

template<class Tscal_ , class BaseKernel >

static Tscal shammath::SPHKernelGen< Tscal_, BaseKernel >::phi_tilde_3d ( Tscal q )

inlinestatic

Definition at line 2358 of file sphkernels.hpp.

◆ phi_tilde_3d_prime()

template<class Tscal_ , class BaseKernel >

static Tscal shammath::SPHKernelGen< Tscal_, BaseKernel >::phi_tilde_3d_prime ( Tscal q )

inlinestatic

Definition at line 2369 of file sphkernels.hpp.

◆ W_1d()

template<class Tscal_ , class BaseKernel >

static Tscal shammath::SPHKernelGen< Tscal_, BaseKernel >::W_1d	(	Tscal	r,
		Tscal	h
	)

inlinestatic

Definition at line 2314 of file sphkernels.hpp.

◆ W_2d()

template<class Tscal_ , class BaseKernel >

static Tscal shammath::SPHKernelGen< Tscal_, BaseKernel >::W_2d	(	Tscal	r,
		Tscal	h
	)

inlinestatic

Definition at line 2316 of file sphkernels.hpp.

◆ W_3d()

template<class Tscal_ , class BaseKernel >

static Tscal shammath::SPHKernelGen< Tscal_, BaseKernel >::W_3d	(	Tscal	r,
		Tscal	h
	)

inlinestatic

compute the normed & resized version of the kernel :

\[ W(r,h) = C_{\rm norm} \frac{1}{h^3} f(\frac{r}{h}) \]

Parameters

r
h

Returns: Tscal

Definition at line 2329 of file sphkernels.hpp.

Here is the call graph for this function:

◆ Y_3d()

template<class Tscal_ , class BaseKernel >

static Tscal shammath::SPHKernelGen< Tscal_, BaseKernel >::Y_3d	(	Tscal	r,
		Tscal	h,
		int	np = `32`
	)

inlinestatic

Definition at line 2351 of file sphkernels.hpp.

Member Data Documentation

◆ has_3d_phi_soft

template<class Tscal_ , class BaseKernel >

constexpr bool shammath::SPHKernelGen< Tscal_, BaseKernel >::has_3d_phi_soft = ::shammath::has_phi_tilde_3d<BaseKernel, Tscal>::value

staticconstexpr

Definition at line 2355 of file sphkernels.hpp.

◆ has_3d_phi_soft_prime

template<class Tscal_ , class BaseKernel >

constexpr bool shammath::SPHKernelGen< Tscal_, BaseKernel >::has_3d_phi_soft_prime = ::shammath::has_phi_tilde_3d_prime<BaseKernel, Tscal>::value

staticconstexpr

Definition at line 2366 of file sphkernels.hpp.

◆ hfactd

template<class Tscal_ , class BaseKernel >

constexpr Tscal shammath::SPHKernelGen< Tscal_, BaseKernel >::hfactd = BaseKernel::hfactd

inlinestaticconstexpr

default $h_{\rm fact}$ for this kernel

Definition at line 2291 of file sphkernels.hpp.

◆ Rkern

template<class Tscal_ , class BaseKernel >

constexpr Tscal shammath::SPHKernelGen< Tscal_, BaseKernel >::Rkern = BaseKernel::Rkern

inlinestaticconstexpr

Radius of the support

Definition at line 2290 of file sphkernels.hpp.

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

shammath/include/shammath/sphkernels.hpp

Public Types

Static Public Member Functions

Static Public Attributes

Detailed Description

Member Typedef Documentation

◆ Generator

◆ Tscal

Member Function Documentation

◆ ddf()

◆ ddW_3d()

◆ df()

◆ dhW_3d()

◆ dW_3d()

◆ f()

◆ f3d_integ_z()

◆ phi_3D()

◆ phi_3D_prime()

◆ phi_tilde_3d()

◆ phi_tilde_3d_prime()

◆ W_1d()

◆ W_2d()

◆ W_3d()

◆ Y_3d()

Member Data Documentation

◆ has_3d_phi_soft

◆ has_3d_phi_soft_prime

◆ hfactd

◆ Rkern