mod_int_point_lambda_4_2 Module Reference

The \(\Lambda_{4,2}\) interpolation kernel. More...

Data Types
type	t_int_point_lambda_4_2_1d
	The 1D type. More...
type	t_int_point_lambda_4_2_2d
	The 2D type. More...
type	t_int_point_lambda_4_2_3d
	The 3D type. More...

Functions/Subroutines
subroutine	int_point_lambda_4_2_init ()
	Init all the schemes.
subroutine	t_int_point_lambda_4_2_1d_init (self)
subroutine	t_int_point_lambda_4_2_1d_compute_stencil (self, coordinates, derivative, control_volumes)
	Compute the stencil values. Lagrange interpolation at order 4 (ie. linear interpolation)
subroutine	t_int_point_lambda_4_2_2d_init (self)
subroutine	t_int_point_lambda_4_2_3d_init (self, spatial_dimension)
double precision function	lambda_4_2 (x)
	The \(\Lambda_4,2\) approximation Gnuplot version: LAMBDA_4_2_1(x) = + 1.0 + 0.0*x - 5.0/4*x**2 - 35.0/12.0*x**3 + 21.0/4*x**4 - 25.0/12*x**5 LAMBDA_4_2_2(x) = - 4.0 + 75.0/4*x - 245.0/8*x**2 + 545.0/24.0*x**3 - 63.0/8*x**4 + 25.0/24*x**5 LAMBDA_4_2_3(x) = + 18.0 - 153.0/4*x + 255.0/8*x**2 - 313.0/24.0*x**3 + 21.0/8*x**4 - 5.0/24*x**5 LAMBDA_4_2(x) = (abs(x)<1.0)?LAMBDA_4_2_1(abs(x)):(abs(x)<2.0)?LAMBDA_4_2_2(abs(x)):(abs(x)<3.0)?LAMBDA_4_2_3(abs(x)):0.0 set xrange [-5:5] ; plot LAMBDA_4_2(x)

Variables
type(t_int_point_lambda_4_2_1d), target	int_point_lambda_4_2_1d
type(t_int_point_lambda_4_2_2d), target	int_point_lambda_4_2_2d
type(t_int_point_lambda_4_2_3d), target	int_point_lambda_4_2_3d

Detailed Description

The \(\Lambda_{4,2}\) interpolation kernel.

Function/Subroutine Documentation

int_point_lambda_4_2_init()

subroutine mod_int_point_lambda_4_2::int_point_lambda_4_2_init

Init all the schemes.

lambda_4_2()

double precision function mod_int_point_lambda_4_2::lambda_4_2

(

double precision, intent(in)

x

)

The \(\Lambda_4,2\) approximation Gnuplot version: LAMBDA_4_2_1(x) = + 1.0 + 0.0*x - 5.0/4*x**2 - 35.0/12.0*x**3 + 21.0/4*x**4 - 25.0/12*x**5 LAMBDA_4_2_2(x) = - 4.0 + 75.0/4*x - 245.0/8*x**2 + 545.0/24.0*x**3 - 63.0/8*x**4 + 25.0/24*x**5 LAMBDA_4_2_3(x) = + 18.0 - 153.0/4*x + 255.0/8*x**2 - 313.0/24.0*x**3 + 21.0/8*x**4 - 5.0/24*x**5 LAMBDA_4_2(x) = (abs(x)<1.0)?LAMBDA_4_2_1(abs(x)):(abs(x)<2.0)?LAMBDA_4_2_2(abs(x)):(abs(x)<3.0)?LAMBDA_4_2_3(abs(x)):0.0 set xrange [-5:5] ; plot LAMBDA_4_2(x)

t_int_point_lambda_4_2_1d_compute_stencil()

subroutine mod_int_point_lambda_4_2::t_int_point_lambda_4_2_1d_compute_stencil	(	class(t_int_point_lambda_4_2_1d), intent(inout)	self,
		double precision, dimension(:), intent(in)	coordinates,
		integer, intent(in), optional	derivative,
		double precision, dimension(:), intent(in), optional	control_volumes )

Compute the stencil values. Lagrange interpolation at order 4 (ie. linear interpolation)

Precondition

The interpolant has been placed (

See also

'place' subroutine)

t_int_point_lambda_4_2_1d_init()

subroutine mod_int_point_lambda_4_2::t_int_point_lambda_4_2_1d_init

(

class(t_int_point_lambda_4_2_1d), intent(inout)

self

)

t_int_point_lambda_4_2_2d_init()

subroutine mod_int_point_lambda_4_2::t_int_point_lambda_4_2_2d_init

(

class(t_int_point_lambda_4_2_2d), intent(inout)

self

)

t_int_point_lambda_4_2_3d_init()

subroutine mod_int_point_lambda_4_2::t_int_point_lambda_4_2_3d_init	(	class(t_int_point_lambda_4_2_3d), intent(inout)	self,
		integer, intent(in)	spatial_dimension )

Variable Documentation

int_point_lambda_4_2_1d

type(t_int_point_lambda_4_2_1d), target mod_int_point_lambda_4_2::int_point_lambda_4_2_1d

int_point_lambda_4_2_2d

type(t_int_point_lambda_4_2_2d), target mod_int_point_lambda_4_2::int_point_lambda_4_2_2d

int_point_lambda_4_2_3d

type(t_int_point_lambda_4_2_3d), target mod_int_point_lambda_4_2::int_point_lambda_4_2_3d