time_integration_mod Module Reference

Functions/Subroutines
subroutine, public	initialize_time_integration_mod ()
subroutine, public	set_updatetlevel (new_updatetlevel)
subroutine, public	set_updatetlevel_rhs
subroutine, public	time_integration_outputinputs (fidres, str)
	Write the input parameters to the results_xx.h5 file. More...
subroutine	set_numerical_scheme
	Initialize Butcher coefficient of numerical_scheme. More...
subroutine	rk4
	Butcher coeff for RK4 (default) More...
subroutine	rkc4
	Butcher coeff for RKC4. More...
subroutine	rkc2
	Runge Kutta Chebyshev second order chebyshev polynomials->https://people.sc.fsu.edu/~jburkardt/f_src/chebyshev_polynomial/chebyshev_polynomial.f90. More...

Variables
integer, public, protected	ntimelevel_rhs =4
	number of time levels required for the rhs More...
integer, public, protected	updatetlevel
	time level to be updated More...
integer, public, protected	updatetlevel_rhs = 1
	time level to be updated for rhs More...
real(dp), dimension(:,:), pointer, public, protected	a_e
real(dp), dimension(:,:), pointer, public, protected	a_i
real(dp), dimension(:), pointer, public, protected	b_e
real(dp), dimension(:), pointer, public, protected	b_i
real(dp), dimension(:), pointer, public, protected	c_e
real(dp), dimension(:), pointer, public, protected	c_i
	Coeff for Expl/Implic time integration in case of time dependent RHS (i.e. dy/inputbasicdt = f(y,t)) see Baptiste Frei CSE Rapport 06/17. More...
real(dp), dimension(:), pointer, public, protected	a_c
real(dp), dimension(:), pointer, public, protected	b
real(dp), dimension(:), pointer, public, protected	k
real(dp), dimension(:), pointer, public, protected	mu
real(dp), dimension(:), pointer, public, protected	nu_c
real(dp), public, protected	w0
real(dp), public, protected	w1
real(dp), public, protected	w2

Function/Subroutine Documentation

initialize_time_integration_mod()

subroutine, public time_integration_mod::initialize_time_integration_mod

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rk4()

subroutine time_integration_mod::rk4

private

Butcher coeff for RK4 (default)

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rkc2()

subroutine time_integration_mod::rkc2

Runge Kutta Chebyshev second order chebyshev polynomials->https://people.sc.fsu.edu/~jburkardt/f_src/chebyshev_polynomial/chebyshev_polynomial.f90.

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rkc4()

subroutine time_integration_mod::rkc4

Butcher coeff for RKC4.

This is a first-order Runge–Kutta–Chebychev method It should allow for higher time-step as it is more stable See paper Doerk, Comput. Phys. Commun. 2014 for details

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set_numerical_scheme()

subroutine time_integration_mod::set_numerical_scheme

Initialize Butcher coefficient of numerical_scheme.

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set_updatetlevel()

subroutine, public time_integration_mod::set_updatetlevel

(

integer, intent(in)

new_updatetlevel

)

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set_updatetlevel_rhs()

subroutine, public time_integration_mod::set_updatetlevel_rhs

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time_integration_outputinputs()

subroutine, public time_integration_mod::time_integration_outputinputs	(	integer, intent(in)	fidres,
		character(len=256), intent(in)	str
	)

Write the input parameters to the results_xx.h5 file.

Variable Documentation

a_c

real(dp), dimension(:), pointer, public, protected time_integration_mod::a_c

a_e

real(dp), dimension(:,:), pointer, public, protected time_integration_mod::a_e

a_i

real(dp), dimension(:,:), pointer, public, protected time_integration_mod::a_i

b

real(dp), dimension(:), pointer, public, protected time_integration_mod::b

b_e

real(dp), dimension(:), pointer, public, protected time_integration_mod::b_e

b_i

real(dp), dimension(:), pointer, public, protected time_integration_mod::b_i

c_e

real(dp), dimension(:), pointer, public, protected time_integration_mod::c_e

c_i

real(dp), dimension(:), pointer, public, protected time_integration_mod::c_i

Coeff for Expl/Implic time integration in case of time dependent RHS (i.e. dy/inputbasicdt = f(y,t)) see Baptiste Frei CSE Rapport 06/17.

k

real(dp), dimension(:), pointer, public, protected time_integration_mod::k

mu

real(dp), dimension(:), pointer, public, protected time_integration_mod::mu

ntimelevel_rhs

integer, public, protected time_integration_mod::ntimelevel_rhs =4

number of time levels required for the rhs

nu_c

real(dp), dimension(:), pointer, public, protected time_integration_mod::nu_c

updatetlevel

integer, public, protected time_integration_mod::updatetlevel

time level to be updated

updatetlevel_rhs

integer, public, protected time_integration_mod::updatetlevel_rhs = 1

time level to be updated for rhs

w0

real(dp), public, protected time_integration_mod::w0

w1

real(dp), public, protected time_integration_mod::w1

w2

real(dp), public, protected time_integration_mod::w2