mod_kdv Module Reference

Module for including kdv source term in simulations adds \(-\delta^2*\sum_i \partial_{iii} \rho \) over dimensions i. More...

Functions/Subroutines
subroutine	kdv_params_read (files)
	Read this module's parameters from a file.
subroutine	kdv_init ()
	Initialize the module.
subroutine	kdv_add_source (qdt, ixil, ixol, wct, w, x, qsourcesplit, active)
	w[iw]=w[iw]+qdt*S[wCT,qtC,x] where S is the source based on wCT within ixO
subroutine	kdv_get_dt (w, ixil, ixol, dtnew, dxd, x)

Variables
logical	kdv_split = .false.
	source split or not
double precision	kdv_delta = 1.0d0
	forefactor \( \delta^2\) of \( \partial_{iii} \) term
integer	kdv_order = 1
	switch for second order [1] or fourth order [2] central FD for \( \partial_{iii}\) Note: fourth order needs 3 nghostcells, all assume equidistant grid

Detailed Description

Module for including kdv source term in simulations adds \(-\delta^2*\sum_i \partial_{iii} \rho \) over dimensions i.

Function/Subroutine Documentation

kdv_add_source()

subroutine mod_kdv::kdv_add_source	(	double precision, intent(in)	qdt,
		integer, intent(in)	ixi,
		integer, intent(in)	l,
		integer, intent(in)	ixo,
			l,
		double precision, dimension(ixi^s,1:nw), intent(in)	wct,
		double precision, dimension(ixi^s,1:nw), intent(inout)	w,
		double precision, dimension(ixi^s,1:ndim), intent(in)	x,
		logical, intent(in)	qsourcesplit,
		logical, intent(inout)	active
	)

w[iw]=w[iw]+qdt*S[wCT,qtC,x] where S is the source based on wCT within ixO

Definition at line 40 of file mod_kdv.t.

kdv_get_dt()

subroutine mod_kdv::kdv_get_dt	(	double precision, dimension(ixi^s,1:nw), intent(in)	w,
		integer, intent(in)	ixi,
		integer, intent(in)	l,
		integer, intent(in)	ixo,
			l,
		double precision, intent(inout)	dtnew,
		double precision, intent(in)	dx,
		double precision, intent(in)	d,
		double precision, dimension(ixi^s,1:ndim), intent(in)	x
	)

Time step constraint for leap-frog time stepping combined with central 2nd order FD see e.g. Chun-Te Lee et al, Journal of Mathematics Research vol. 9, no.4, 2017 ISSN 1916-9795

Definition at line 94 of file mod_kdv.t.

kdv_init()

subroutine mod_kdv::kdv_init

Initialize the module.

Definition at line 32 of file mod_kdv.t.

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kdv_params_read()

subroutine mod_kdv::kdv_params_read

(

character(len=*), dimension(:), intent(in)

files

)

Read this module's parameters from a file.

Definition at line 16 of file mod_kdv.t.

Variable Documentation

kdv_delta

double precision mod_kdv::kdv_delta = 1.0d0

forefactor \( \delta^2\) of \( \partial_{iii} \) term

Definition at line 9 of file mod_kdv.t.

kdv_order

integer mod_kdv::kdv_order = 1

switch for second order [1] or fourth order [2] central FD for \( \partial_{iii}\) Note: fourth order needs 3 nghostcells, all assume equidistant grid

Definition at line 12 of file mod_kdv.t.

kdv_split

logical mod_kdv::kdv_split = .false.

source split or not

Definition at line 7 of file mod_kdv.t.