m_af_limiters Module Reference

Module containing slope limiters. More...

Functions/Subroutines
elemental real(dp) function, public	af_limiter_apply (a, b, limiter)
	Apply one of the limiters. More...
elemental real(dp) function, public	af_limiter_koren (a, b)
	Modified implementation of Koren limiter, to avoid division and the min/max functions, which can be problematic / expensive. In most literature, you have r = a / b (ratio of gradients). Then the limiter phi(r) is multiplied with b. With this implementation, you get phi(r) * b. More...
elemental real(dp) function, public	af_limiter_vanleer (a, b)
elemental real(dp) function, public	af_limiter_minmod (a, b)
elemental real(dp) function, public	af_limiter_gminmod43 (a, b)
elemental real(dp) function, public	af_limiter_mc (a, b)
elemental real(dp) function	af_limiter_gminmod (a, b, theta)
	Generalized minmod limiter. The parameter theta controls how dissipative the limiter is, with 1 corresponding to the minmod limiter and 2 to the MC limiter. More...

Variables
integer, parameter	af_num_limiters = 7
	Number of limiters. More...
integer, parameter, public	af_limiter_none_t = 1
integer, parameter, public	af_limiter_vanleer_t = 2
	van Leer limiter More...
integer, parameter, public	af_limiter_koren_t = 3
	Koren limiter. More...
integer, parameter, public	af_limiter_minmod_t = 4
	Minmod limiter. More...
integer, parameter, public	af_limiter_mc_t = 5
	MC limiter. More...
integer, parameter, public	af_limiter_gminmod43_t = 6
	Generalized minmod limiter with theta = 4/3. More...
integer, parameter, public	af_limiter_zero_t = 7
	All slopes are zero. More...
logical, dimension(af_num_limiters), parameter, public	af_limiter_symmetric = [.true., .true., .false., .true., .true., .true., .true.]
	Whether limiters are symmetric. More...

Detailed Description

Module containing slope limiters.

Function/Subroutine Documentation

af_limiter_apply()

elemental real(dp) function, public m_af_limiters::af_limiter_apply	(	real(dp), intent(in)	a,
		real(dp), intent(in)	b,
		integer, intent(in)	limiter
	)

Apply one of the limiters.

Parameters

[in]	a	Slopes from one side
[in]	b	Slopes from other side
[in]	limiter	Which limiter to use

Returns

Limited slope

Definition at line 41 of file m_af_limiters.f90.

af_limiter_koren()

elemental real(dp) function, public m_af_limiters::af_limiter_koren	(	real(dp), intent(in)	a,
		real(dp), intent(in)	b
	)

Modified implementation of Koren limiter, to avoid division and the min/max functions, which can be problematic / expensive. In most literature, you have r = a / b (ratio of gradients). Then the limiter phi(r) is multiplied with b. With this implementation, you get phi(r) * b.

Parameters

[in]	a	Density gradient (numerator)
[in]	b	Density gradient (denominator)

Definition at line 72 of file m_af_limiters.f90.

af_limiter_vanleer()

elemental real(dp) function, public m_af_limiters::af_limiter_vanleer	(	real(dp), intent(in)	a,
		real(dp), intent(in)	b
	)

Definition at line 97 of file m_af_limiters.f90.

af_limiter_minmod()

elemental real(dp) function, public m_af_limiters::af_limiter_minmod	(	real(dp), intent(in)	a,
		real(dp), intent(in)	b
	)

Definition at line 112 of file m_af_limiters.f90.

af_limiter_gminmod43()

elemental real(dp) function, public m_af_limiters::af_limiter_gminmod43	(	real(dp), intent(in)	a,
		real(dp), intent(in)	b
	)

Definition at line 120 of file m_af_limiters.f90.

af_limiter_mc()

elemental real(dp) function, public m_af_limiters::af_limiter_mc	(	real(dp), intent(in)	a,
		real(dp), intent(in)	b
	)

Definition at line 129 of file m_af_limiters.f90.

af_limiter_gminmod()

elemental real(dp) function m_af_limiters::af_limiter_gminmod ( real(dp), intent(in)  a, real(dp), intent(in)  b, real(dp), intent(in)  theta  )

private

Generalized minmod limiter. The parameter theta controls how dissipative the limiter is, with 1 corresponding to the minmod limiter and 2 to the MC limiter.

Definition at line 139 of file m_af_limiters.f90.

Variable Documentation

af_num_limiters

integer, parameter m_af_limiters::af_num_limiters = 7

private

Number of limiters.

Definition at line 10 of file m_af_limiters.f90.

af_limiter_none_t

integer, parameter, public m_af_limiters::af_limiter_none_t = 1

Definition at line 13 of file m_af_limiters.f90.

af_limiter_vanleer_t

integer, parameter, public m_af_limiters::af_limiter_vanleer_t = 2

van Leer limiter

Definition at line 15 of file m_af_limiters.f90.

af_limiter_koren_t

integer, parameter, public m_af_limiters::af_limiter_koren_t = 3

Koren limiter.

Definition at line 17 of file m_af_limiters.f90.

af_limiter_minmod_t

integer, parameter, public m_af_limiters::af_limiter_minmod_t = 4

Minmod limiter.

Definition at line 19 of file m_af_limiters.f90.

af_limiter_mc_t

integer, parameter, public m_af_limiters::af_limiter_mc_t = 5

MC limiter.

Definition at line 21 of file m_af_limiters.f90.

af_limiter_gminmod43_t

integer, parameter, public m_af_limiters::af_limiter_gminmod43_t = 6

Generalized minmod limiter with theta = 4/3.

Definition at line 23 of file m_af_limiters.f90.

af_limiter_zero_t

integer, parameter, public m_af_limiters::af_limiter_zero_t = 7

All slopes are zero.

Definition at line 25 of file m_af_limiters.f90.

af_limiter_symmetric

logical, dimension(af_num_limiters), parameter, public m_af_limiters::af_limiter_symmetric = [.true., .true., .false., .true., .true., .true., .true.]

Whether limiters are symmetric.

Definition at line 28 of file m_af_limiters.f90.