dispersion::hot_plasma_expansion< T, Z, SAFE_MATH > Class Template Reference

Hot Plasma Expansion Disperison function. More...

#include <dispersion.hpp>

Inheritance diagram for dispersion::hot_plasma_expansion< T, Z, SAFE_MATH >:

Public Member Functions
virtual graph::shared_leaf< T, SAFE_MATH >	D (graph::shared_leaf< T, SAFE_MATH > w, graph::shared_leaf< T, SAFE_MATH > kx, graph::shared_leaf< T, SAFE_MATH > ky, graph::shared_leaf< T, SAFE_MATH > kz, graph::shared_leaf< T, SAFE_MATH > x, graph::shared_leaf< T, SAFE_MATH > y, graph::shared_leaf< T, SAFE_MATH > z, graph::shared_leaf< T, SAFE_MATH > t, equilibrium::shared< T, SAFE_MATH > &eq)
	Hot plasma expansion dispersion function.

Additional Inherited Members
Public Types inherited from dispersion::dispersion_function< T, SAFE_MATH >
typedef T	base
	Type def to retrieve the backend base type.
Static Public Attributes inherited from dispersion::dispersion_function< T, SAFE_MATH >
static constexpr bool	safe_math = SAFE_MATH
	Retrieve template parameter of safe math.
Protected Attributes inherited from dispersion::physics< T, SAFE_MATH >
const T	epsion0 = 8.8541878138E-12
	Vacuum permitivity.
const T	mu0 = M_PI*4.0E-7
	Vacuum permeability.
const T	q = 1.602176634E-19
	Fundamental charge.
const T	me = 9.1093837015E-31
	Electron mass.
const T	c = static_cast<T> (1.0)/std::sqrt(epsion0*mu0)
	Speed of light.

Detailed Description

template<jit::float_scalar T, class Z, bool SAFE_MATH = false>
class dispersion::hot_plasma_expansion< T, Z, SAFE_MATH >

Hot Plasma Expansion Disperison function.

Template Parameters

T	Base type of the calculation.
Z	Z function class.
SAFE_MATH	Use Safe Math operations.

Member Function Documentation

D()

template<jit::float_scalar T, class Z , bool SAFE_MATH = false>

virtual graph::shared_leaf< T, SAFE_MATH > dispersion::hot_plasma_expansion< T, Z, SAFE_MATH >::D ( graph::shared_leaf< T, SAFE_MATH >  w, graph::shared_leaf< T, SAFE_MATH >  kx, graph::shared_leaf< T, SAFE_MATH >  ky, graph::shared_leaf< T, SAFE_MATH >  kz, graph::shared_leaf< T, SAFE_MATH >  x, graph::shared_leaf< T, SAFE_MATH >  y, graph::shared_leaf< T, SAFE_MATH >  z, graph::shared_leaf< T, SAFE_MATH >  t, equilibrium::shared< T, SAFE_MATH > &  eq  )

inlinevirtual

Hot plasma expansion dispersion function.

Dw = -(1 + Ωe/⍵)n||ve/c(Γ1 + Γ2 + n⟂^2/(2n||)⍵^2/Ωe^2ve/cζΓ5)(1/Z(ζ) + ζ) (1)

Where:

Γ1 = (1 - q)n^2n⟂^2 + (1 - P)(n^2n||^2 - (1 - q)(n^2 + n||^2))

• (1 - 2q)((1 - P) - n⟂^2) (2)

Γ2 = P⍵/Ωen⟂^2(n^2 - (1 - 2q))

• P^2⍵^2/(4Ωe^2)((n^2 + n||^2) - 2(1 - 2q))n⟂^2/n||^2 (3)

Γ5 = P(n^2n||^2 - (1 - q)(n^2 + n||^2) + (1 - 2q)) (4)

ζ = (1 - Ωe/⍵)/(n||ve/c) (5)

P = ⍵pe^2/⍵^2 (6)

q = P/(2(1 + Ωe/⍵)) (7)

ve = Sqrt(2*ne*te/me) (8)

Parameters

[in]	w	Omega variable.
[in]	kx	Kx variable.
[in]	ky	Ky variable.
[in]	kz	Kz variable.
[in]	x	x variable.
[in]	y	y variable.
[in]	z	z variable.
[in]	t	Current time.
[in]	eq	The plasma equilibrium.

Implements dispersion::dispersion_function< T, SAFE_MATH >.

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

• graph_framework/dispersion.hpp