Thermal conduction for HD and MHD Adaptation of mod_thermal_conduction for the mod_supertimestepping In order to use it set use_mhd_tc=1 (for the mhd impl) or 2 (for the hd impl) in mhd_list (for the mhd module both hd and mhd impl can be used) or use_new_hd_tc in hd_list parameters to true (for the hd module, hd implementation has to be used) The TC is set by calling one tc_init_hd_for_total_energy and tc_init_mhd_for_total_energy might The second argument: ixArray has to be [rho_,e_,mag(1)] for mhd (Be aware that the other components of the mag field are assumed consecutive) and [rho_,e_] for hd additionally when internal energy equation is solved, an additional element of this array is eaux_: the index of the internal energy variable. More...

Functions/Subroutines
subroutine, public	tc_init_mhd_for_total_energy (phys_gamma, ixArray, mhd_get_temperature_from_etot, mhd_get_temperature_from_eint)
	Initialize the module this adds the term in the STS methods linked lists when the total energy equation is used Params: gamma ixArray : an array with the indices of the variables mhd_get_temperature_from_etot, mhd_get_temperature_from_eint subroutines which calculates temperature mhd_ei_to_e, mhd_e_to_ei subroutines which calculates e_tot from e_int and e_int from e_tot. More...

subroutine, public	tc_init_mhd_for_internal_energy (phys_gamma, ixArray, mhd_get_temperature_from_eint)
	Initialize tc module: MHD case this adds the term in the STS methods linked lists when the internal energy equation is used Params: gamma ixArray : an array with the indices of the variables mhd_get_temperature_from_eint subroutines which calculates temperature. More...

subroutine	tc_init_hd_params (phys_gamma, ixArray)

subroutine, public	tc_init_hd_for_total_energy (phys_gamma, ixArray, hd_get_temperature_from_etot, hd_get_temperature_from_eint)
	Initialize the module for the HD this adds the term in the STS methods linked lists when the total energy equation is used Params: gamma ixArray : an array with the indices of the variables mhd_get_temperature_from_etot, mhd_get_temperature_from_eint subroutines which calculates temperature mhd_ei_to_e, mhd_e_to_ei subroutines which calculates e_tot from e_int and e_int from e_tot. More...

subroutine, public	tc_init_hd_for_internal_energy (phys_gamma, ixArray, hd_get_temperature_from_eint)
	Initialize the module this adds the term in the STS methods linked lists when the internal energy equation is used Params: gamma ixArray : an array with the indices of the variables mhd_get_temperature_from_eint subroutines which calculates temperature. More...

double precision function	get_tc_dt_mhd (w, ixIL, ixOL, dxD, x)
	Get the explicut timestep for the TC (mhd implementation) More...

subroutine	sts_set_source_tc_mhd (ixIL, ixOL, w, x, wres, fix_conserve_at_step, my_dt, igrid, nflux)
	anisotropic thermal conduction with slope limited symmetric scheme Sharma 2007 Journal of Computational Physics 227, 123 More...

double precision function, dimension(ixi^s)	slope_limiter (f, ixIL, ixOL, idims, pm)

subroutine	gradientc (q, ixIL, ixOL, idir, gradq)
	Calculate gradient of a scalar q at cell interfaces in direction idir. More...

double precision function	get_tc_dt_hd (w, ixIL, ixOL, dxD, x)

subroutine	sts_set_source_tc_hd (ixIL, ixOL, w, x, wres, fix_conserve_at_step, my_dt, igrid, nflux)

subroutine	handle_small_e (w, x, ixIL, ixOL, step)

Variables
double precision, public	tc_k_para
	Coefficient of thermal conductivity (parallel to magnetic field) More...

double precision, public	tc_k_perp
	Coefficient of thermal conductivity perpendicular to magnetic field. More...

logical, public	tc_perpendicular =.false.
	Calculate thermal conduction perpendicular to magnetic field (.true.) or not (.false.) More...

procedure(get_temperature_subr), pointer	get_temperature_from_eint => null()

Detailed Description

Thermal conduction for HD and MHD Adaptation of mod_thermal_conduction for the mod_supertimestepping In order to use it set use_mhd_tc=1 (for the mhd impl) or 2 (for the hd impl) in mhd_list (for the mhd module both hd and mhd impl can be used) or use_new_hd_tc in hd_list parameters to true (for the hd module, hd implementation has to be used) The TC is set by calling one tc_init_hd_for_total_energy and tc_init_mhd_for_total_energy might The second argument: ixArray has to be [rho_,e_,mag(1)] for mhd (Be aware that the other components of the mag field are assumed consecutive) and [rho_,e_] for hd additionally when internal energy equation is solved, an additional element of this array is eaux_: the index of the internal energy variable.

10.07.2011 developed by Chun Xia and Rony Keppens 01.09.2012 moved to modules folder by Oliver Porth 13.10.2013 optimized further by Chun Xia 12.03.2014 implemented RKL2 super timestepping scheme to reduce iterations and improve stability and accuracy up to second order in time by Chun Xia. 23.08.2014 implemented saturation and perpendicular TC by Chun Xia 12.01.2017 modulized by Chun Xia

PURPOSE: IN MHD ADD THE HEAT CONDUCTION SOURCE TO THE ENERGY EQUATION S=DIV(KAPPA_i,j . GRAD_j T) where KAPPA_i,j = tc_k_para b_i b_j + tc_k_perp (I - b_i b_j) b_i b_j = B_i B_j / B**2, I is the unit matrix, and i, j= 1, 2, 3 for 3D IN HD ADD THE HEAT CONDUCTION SOURCE TO THE ENERGY EQUATION S=DIV(tc_k_para . GRAD T) USAGE:

in mod_usr.t -> subroutine usr_init(), add unit_length=your length unit unit_numberdensity=your number density unit unit_velocity=your velocity unit unit_temperature=your temperature unit before call (m)hd_activate()
to switch on thermal conduction in the (m)hd_list of amrvac.par add: (m)hd_thermal_conduction=.true.
in the tc_list of amrvac.par : tc_perpendicular=.true. ! (default .false.) turn on thermal conduction perpendicular to magnetic field tc_saturate=.false. ! (default .true. ) turn off thermal conduction saturate effect tc_slope_limiter='MC' ! choose limiter for slope-limited anisotropic thermal conduction in MHD

Function/Subroutine Documentation

◆ get_tc_dt_hd()

double precision function mod_thermal_conduction::get_tc_dt_hd	(	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(in)	dx,
		integer, intent(in)	D,
		double precision, dimension(ixi^s,1:ndim), intent(in)	x
	)

Definition at line 776 of file mod_thermal_conduction.t.

◆ get_tc_dt_mhd()

double precision function mod_thermal_conduction::get_tc_dt_mhd	(	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(in)	dx,
		integer, intent(in)	D,
		double precision, dimension(ixi^s,1:ndim), intent(in)	x
	)

Get the explicut timestep for the TC (mhd implementation)

Definition at line 343 of file mod_thermal_conduction.t.

◆ gradientc()

subroutine mod_thermal_conduction::gradientc	(	double precision, dimension(ixi^s), intent(in)	q,
		integer, intent(in)	ixI,
		integer, intent(in)	L,
		integer, intent(in)	ixO,
			L,
		integer, intent(in)	idir,
		double precision, dimension(ixi^s), intent(inout)	gradq
	)

Calculate gradient of a scalar q at cell interfaces in direction idir.

Definition at line 734 of file mod_thermal_conduction.t.

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◆ handle_small_e()

subroutine mod_thermal_conduction::handle_small_e	(	double precision, dimension(ixi^s,1:nw), intent(inout)	w,
		double precision, dimension(ixi^s,1:ndim), intent(in)	x,
		integer, intent(in)	ixI,
		integer, intent(in)	L,
		integer, intent(in)	ixO,
			L,
		integer, intent(in)	step
	)

Definition at line 936 of file mod_thermal_conduction.t.

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◆ slope_limiter()

double precision function, dimension(ixi^s) mod_thermal_conduction::slope_limiter	(	double precision, dimension(ixi^s), intent(in)	f,
		integer, intent(in)	ixI,
		integer, intent(in)	L,
		integer, intent(in)	ixO,
			L,
		integer, intent(in)	idims,
		integer, intent(in)	pm
	)

Definition at line 697 of file mod_thermal_conduction.t.

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◆ sts_set_source_tc_hd()

subroutine mod_thermal_conduction::sts_set_source_tc_hd	(	integer, intent(in)	ixI,
		integer, intent(in)	L,
		integer, intent(in)	ixO,
			L,
		double precision, dimension(ixi^s,1:nw), intent(inout)	w,
		double precision, dimension(ixi^s,1:ndim), intent(in)	x,
		double precision, dimension(ixi^s,1:nw), intent(inout)	wres,
		logical, intent(in)	fix_conserve_at_step,
		double precision, intent(in)	my_dt,
		integer, intent(in)	igrid,
		integer, intent(in)	nflux
	)

Definition at line 813 of file mod_thermal_conduction.t.

◆ sts_set_source_tc_mhd()

subroutine mod_thermal_conduction::sts_set_source_tc_mhd	(	integer, intent(in)	ixI,
		integer, intent(in)	L,
		integer, intent(in)	ixO,
			L,
		double precision, dimension(ixi^s,1:nw), intent(inout)	w,
		double precision, dimension(ixi^s,1:ndim), intent(in)	x,
		double precision, dimension(ixi^s,1:nw), intent(inout)	wres,
		logical, intent(in)	fix_conserve_at_step,
		double precision, intent(in)	my_dt,
		integer, intent(in)	igrid,
		integer, intent(in)	nflux
	)

anisotropic thermal conduction with slope limited symmetric scheme Sharma 2007 Journal of Computational Physics 227, 123

Definition at line 408 of file mod_thermal_conduction.t.

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◆ tc_init_hd_for_internal_energy()

subroutine, public mod_thermal_conduction::tc_init_hd_for_internal_energy	(	double precision, intent(in)	phys_gamma,
		integer, dimension(:), intent(in)	ixArray,
			hd_get_temperature_from_eint
	)

Initialize the module this adds the term in the STS methods linked lists when the internal energy equation is used Params: gamma ixArray : an array with the indices of the variables mhd_get_temperature_from_eint subroutines which calculates temperature.

Definition at line 314 of file mod_thermal_conduction.t.

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◆ tc_init_hd_for_total_energy()

subroutine, public mod_thermal_conduction::tc_init_hd_for_total_energy	(	double precision, intent(in)	phys_gamma,
		integer, dimension(:), intent(in)	ixArray,
			hd_get_temperature_from_etot,
			hd_get_temperature_from_eint
	)

Initialize the module for the HD this adds the term in the STS methods linked lists when the total energy equation is used Params: gamma ixArray : an array with the indices of the variables mhd_get_temperature_from_etot, mhd_get_temperature_from_eint subroutines which calculates temperature mhd_ei_to_e, mhd_e_to_ei subroutines which calculates e_tot from e_int and e_int from e_tot.

Definition at line 270 of file mod_thermal_conduction.t.

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◆ tc_init_hd_params()

subroutine mod_thermal_conduction::tc_init_hd_params	(	double precision, intent(in)	phys_gamma,
		integer, dimension(:), intent(in)	ixArray
	)

Definition at line 221 of file mod_thermal_conduction.t.

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◆ tc_init_mhd_for_internal_energy()

subroutine, public mod_thermal_conduction::tc_init_mhd_for_internal_energy	(	double precision, intent(in)	phys_gamma,
		integer, dimension(:), intent(in)	ixArray,
			mhd_get_temperature_from_eint
	)

Initialize tc module: MHD case this adds the term in the STS methods linked lists when the internal energy equation is used Params: gamma ixArray : an array with the indices of the variables mhd_get_temperature_from_eint subroutines which calculates temperature.

Definition at line 196 of file mod_thermal_conduction.t.

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◆ tc_init_mhd_for_total_energy()

subroutine, public mod_thermal_conduction::tc_init_mhd_for_total_energy	(	double precision, intent(in)	phys_gamma,
		integer, dimension(:), intent(in)	ixArray,
			mhd_get_temperature_from_etot,
			mhd_get_temperature_from_eint
	)

Initialize the module this adds the term in the STS methods linked lists when the total energy equation is used Params: gamma ixArray : an array with the indices of the variables mhd_get_temperature_from_etot, mhd_get_temperature_from_eint subroutines which calculates temperature mhd_ei_to_e, mhd_e_to_ei subroutines which calculates e_tot from e_int and e_int from e_tot.

Definition at line 153 of file mod_thermal_conduction.t.

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Variable Documentation

◆ get_temperature_from_eint

procedure(get_temperature_subr), pointer mod_thermal_conduction::get_temperature_from_eint => null()

Definition at line 82 of file mod_thermal_conduction.t.

◆ tc_k_para

double precision, public mod_thermal_conduction::tc_k_para

Coefficient of thermal conductivity (parallel to magnetic field)

Definition at line 46 of file mod_thermal_conduction.t.

◆ tc_k_perp

double precision, public mod_thermal_conduction::tc_k_perp

Coefficient of thermal conductivity perpendicular to magnetic field.

Definition at line 49 of file mod_thermal_conduction.t.

◆ tc_perpendicular

logical, public mod_thermal_conduction::tc_perpendicular =.false.

Calculate thermal conduction perpendicular to magnetic field (.true.) or not (.false.)

Definition at line 64 of file mod_thermal_conduction.t.

Functions/Subroutines

Variables

Detailed Description

Function/Subroutine Documentation

◆ get_tc_dt_hd()

◆ get_tc_dt_mhd()

◆ gradientc()

◆ handle_small_e()

◆ slope_limiter()

◆ sts_set_source_tc_hd()

◆ sts_set_source_tc_mhd()

◆ tc_init_hd_for_internal_energy()

◆ tc_init_hd_for_total_energy()

◆ tc_init_hd_params()

◆ tc_init_mhd_for_internal_energy()

◆ tc_init_mhd_for_total_energy()

Variable Documentation

◆ get_temperature_from_eint

◆ tc_k_para

◆ tc_k_perp

◆ tc_perpendicular