m_time_steppers.fpp.f90 File Reference

Functions/Subroutines
program	__m_time_steppers_fpp_f90__
subroutine	s_initialize_time_steppers_module
	The computation of parameters, the allocation of memory, the association of pointers and/or the execution of any other procedures that are necessary to setup the module.
subroutine	s_1st_order_tvd_rk (t_step, time_avg)
	1st order TVD RK time-stepping algorithm
subroutine	s_2nd_order_tvd_rk (t_step, time_avg)
	2nd order TVD RK time-stepping algorithm
subroutine	s_3rd_order_tvd_rk (t_step, time_avg)
	3rd order TVD RK time-stepping algorithm
subroutine	s_strang_splitting (t_step, time_avg)
	Strang splitting scheme with 3rd order TVD RK time-stepping algorithm for the flux term and adaptive time stepping algorithm for the source term.
subroutine	s_adaptive_dt_bubble (t_step)
	Bubble source part in Strang operator splitting scheme.
subroutine	s_compute_dt ()
subroutine	s_apply_bodyforces (q_cons_vf, q_prim_vf, rhs_vf, ldt)
	This subroutine applies the body forces source term at each Runge-Kutta stage.
subroutine	s_time_step_cycling (t_step)
	This subroutine saves the temporary q_prim_vf vector into the q_prim_ts vector that is then used in p_main.
subroutine	s_4th_5th_order_rkck (t_step, time_avg)
	(Adaptive) 4th/5th order Runge—Kutta–Cash–Karp (RKCK) time-stepping algorithm (Cash J. and Karp A., 1990) Method for initial value problems with rapidly varying RHS. A maximum error between the 4th and 5th order Runge-Kutta-Cash-Karp solutions for the same time step size is calculated. If the error is smaller than a tolerance, then the algorithm employs the 5th order solution, while if not, both eulerian/lagrangian variables are re-calculated with a smaller time step size.
subroutine	s_finalize_time_steppers_module
	Module deallocation and/or disassociation procedures.

Function/Subroutine Documentation

__m_time_steppers_fpp_f90__()

program __m_time_steppers_fpp_f90__

s_1st_order_tvd_rk()

subroutine __m_time_steppers_fpp_f90__::s_1st_order_tvd_rk ( integer, intent(in) t_step, real(wp), intent(inout) time_avg )

private

1st order TVD RK time-stepping algorithm

Parameters

t_step

Current time step

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s_2nd_order_tvd_rk()

subroutine __m_time_steppers_fpp_f90__::s_2nd_order_tvd_rk ( integer, intent(in) t_step, real(wp), intent(inout) time_avg )

private

2nd order TVD RK time-stepping algorithm

Parameters

t_step

Current time-step

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s_3rd_order_tvd_rk()

subroutine __m_time_steppers_fpp_f90__::s_3rd_order_tvd_rk ( integer, intent(in) t_step, real(wp), intent(inout) time_avg )

private

3rd order TVD RK time-stepping algorithm

Parameters

t_step

Current time-step

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s_4th_5th_order_rkck()

subroutine __m_time_steppers_fpp_f90__::s_4th_5th_order_rkck ( integer, intent(in) t_step, real(wp), intent(out) time_avg )

private

(Adaptive) 4th/5th order Runge—Kutta–Cash–Karp (RKCK) time-stepping algorithm (Cash J. and Karp A., 1990) Method for initial value problems with rapidly varying RHS. A maximum error between the 4th and 5th order Runge-Kutta-Cash-Karp solutions for the same time step size is calculated. If the error is smaller than a tolerance, then the algorithm employs the 5th order solution, while if not, both eulerian/lagrangian variables are re-calculated with a smaller time step size.

Parameters

t_step	Current time-step
hdid	Advanced time increment (adaptive time stepping)

Update values

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s_adaptive_dt_bubble()

subroutine __m_time_steppers_fpp_f90__::s_adaptive_dt_bubble ( integer, intent(in) t_step )

private

Bubble source part in Strang operator splitting scheme.

Parameters

t_step

Current time-step

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s_apply_bodyforces()

subroutine __m_time_steppers_fpp_f90__::s_apply_bodyforces ( type(scalar_field), dimension(1:sys_size), intent(inout) q_cons_vf, type(scalar_field), dimension(1:sys_size), intent(in) q_prim_vf, type(scalar_field), dimension(1:sys_size), intent(inout) rhs_vf, real(wp), intent(in) ldt )

private

This subroutine applies the body forces source term at each Runge-Kutta stage.

Parameters

[in]

ldt

local dt

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s_compute_dt()

subroutine __m_time_steppers_fpp_f90__::s_compute_dt

private

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s_finalize_time_steppers_module()

subroutine __m_time_steppers_fpp_f90__::s_finalize_time_steppers_module

private

Module deallocation and/or disassociation procedures.

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s_initialize_time_steppers_module()

subroutine __m_time_steppers_fpp_f90__::s_initialize_time_steppers_module

The computation of parameters, the allocation of memory, the association of pointers and/or the execution of any other procedures that are necessary to setup the module.

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s_strang_splitting()

subroutine __m_time_steppers_fpp_f90__::s_strang_splitting ( integer, intent(in) t_step, real(wp), intent(inout) time_avg )

private

Strang splitting scheme with 3rd order TVD RK time-stepping algorithm for the flux term and adaptive time stepping algorithm for the source term.

Parameters

t_step

Current time-step

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s_time_step_cycling()

subroutine __m_time_steppers_fpp_f90__::s_time_step_cycling ( integer, intent(in) t_step )

private

This subroutine saves the temporary q_prim_vf vector into the q_prim_ts vector that is then used in p_main.

Parameters

t_step

current time-step

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