EQUATIONS: Add subroutines get_maximum_speeds().
These subroutines determine the maximum physical and characteristic speeds, and the maximum eigenvalue in the system. Signed-off-by: Grzegorz Kowal <grzegorz@amuncode.org>
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@ -75,6 +75,10 @@ module equations
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real(kind=8), dimension(:,:,:,:), intent(in) :: qq
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real(kind=8) :: maxspeed
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end function
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subroutine get_maximum_speeds_iface(qq, um, cm, lm)
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real(kind=8), dimension(:,:,:,:), intent(in) :: qq
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real(kind=8) , intent(out):: um, cm, lm
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end subroutine
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subroutine esystem_roe_iface(x, y, q, c, r, l)
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real(kind=8) , intent(in) :: x, y
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real(kind=8), dimension(:) , intent(in) :: q
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@ -101,6 +105,8 @@ module equations
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!
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procedure(maxspeed_iface) , pointer, save :: maxspeed => null()
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procedure(get_maximum_speeds_iface), pointer, save :: get_maximum_speeds => null()
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! pointer to the Roe eigensystem procedure
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!
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procedure(esystem_roe_iface), pointer, save :: eigensystem_roe => null()
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@ -164,9 +170,10 @@ module equations
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!
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real(kind=8), save :: csnd = 1.0d+00, csnd2 = 1.0d+00
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! maximum speed in the system
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! maximum speeds in the system
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!
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real(kind=8), save :: cmax = 0.0d+00, cmax2 = 0.0d+00
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real(kind=8), save :: umax = 0.0d+00, amax = 0.0d+00, cglm = 0.0d+00
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! the lower limits for density and pressure to be treated as physical
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!
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@ -222,13 +229,13 @@ module equations
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public :: prim2cons_mhd_adi, fluxspeed_mhd_adi
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public :: prim2cons_srhd_adi, fluxspeed_srhd_adi
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public :: prim2cons_srmhd_adi, fluxspeed_srmhd_adi
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public :: maxspeed, reset_maxspeed, get_maxspeed
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public :: maxspeed, reset_maxspeed, get_maximum_speeds
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public :: eigensystem_roe
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public :: update_primitive_variables
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public :: fix_unphysical_cells, correct_unphysical_states
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public :: adiabatic_index, relativistic, magnetized
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public :: csnd, csnd2
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public :: cmax, cmax2
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public :: cmax, cmax2, umax, amax, cglm
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public :: nv, nf, ns
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public :: inx, iny, inz
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public :: idn, ivx, ivy, ivz, imx, imy, imz
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@ -366,6 +373,7 @@ module equations
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fluxspeed => fluxspeed_hd_iso
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maxspeed => maxspeed_hd_iso
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eigensystem_roe => esystem_roe_hd_iso
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get_maximum_speeds => get_maximum_speeds_hd_iso
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case("adi", "ADI", "adiabatic", "ADIABATIC")
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@ -406,6 +414,7 @@ module equations
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fluxspeed => fluxspeed_hd_adi
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maxspeed => maxspeed_hd_adi
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eigensystem_roe => esystem_roe_hd_adi
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get_maximum_speeds => get_maximum_speeds_hd_adi
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! warn about the unimplemented equation of state
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!
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@ -532,6 +541,7 @@ module equations
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fluxspeed => fluxspeed_mhd_iso
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maxspeed => maxspeed_mhd_iso
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eigensystem_roe => esystem_roe_mhd_iso
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get_maximum_speeds => get_maximum_speeds_mhd_iso
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case("adi", "ADI", "adiabatic", "ADIABATIC")
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@ -579,6 +589,7 @@ module equations
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fluxspeed => fluxspeed_mhd_adi
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maxspeed => maxspeed_mhd_adi
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eigensystem_roe => esystem_roe_mhd_adi
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get_maximum_speeds => get_maximum_speeds_mhd_adi
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case default
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@ -707,6 +718,7 @@ module equations
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cons2prim => cons2prim_srhd_adi
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fluxspeed => fluxspeed_srhd_adi
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maxspeed => maxspeed_srhd_adi
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get_maximum_speeds => get_maximum_speeds_srhd_adi
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! warn about the unimplemented equation of state
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!
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@ -888,6 +900,7 @@ module equations
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cons2prim => cons2prim_srmhd_adi
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fluxspeed => fluxspeed_srmhd_adi
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maxspeed => maxspeed_srmhd_adi
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get_maximum_speeds => get_maximum_speeds_srmhd_adi
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! warn about the unimplemented equation of state
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!
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@ -1881,6 +1894,61 @@ module equations
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!
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!===============================================================================
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!
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! subroutine GET_MAXIMUM_SPEEDS_HD_ISO:
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! ------------------------------------
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!
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! Subroutine determines the maximum characteristic speed and eigenvalue
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! in the input array of primitive variables.
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!
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! Arguments:
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!
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! qq - the input array of primitive variables;
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! vm - the maximum physical speed;
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! cm - the maximum characteristic speed;
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! lm - the maximum eigenvalue;
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!
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!===============================================================================
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!
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subroutine get_maximum_speeds_hd_iso(qq, vm, cm, lm)
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use coordinates, only : nb, ne
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implicit none
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real(kind=8), dimension(:,:,:,:), intent(in) :: qq
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real(kind=8) , intent(out) :: vm, cm, lm
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integer :: i, j, k = 1
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real(kind=8) :: vl, vu
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!-------------------------------------------------------------------------------
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!
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vm = 0.0d+00
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cm = csnd
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lm = 0.0d+00
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#if NDIMS == 3
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do k = nb, ne
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#endif /* NDIMS == 3 */
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do j = nb, ne
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do i = nb, ne
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vl = minval(qq(ivx:ivz,i,j,k))
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vu = maxval(qq(ivx:ivz,i,j,k))
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vm = max(vm, abs(vl), abs(vu))
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lm = max(lm, abs(vl - csnd), abs(vu + csnd))
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end do
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end do
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#if NDIMS == 3
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end do
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#endif /* NDIMS == 3 */
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!-------------------------------------------------------------------------------
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!
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end subroutine get_maximum_speeds_hd_iso
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!
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!===============================================================================
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!
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! subroutine ESYSTEM_ROE_HD_ISO:
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! -----------------------------
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!
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@ -2255,6 +2323,64 @@ module equations
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!
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!===============================================================================
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!
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! subroutine GET_MAXIMUM_SPEEDS_HD_ADI:
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! ------------------------------------
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!
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! Subroutine determines the maximum characteristic speed and eigenvalue
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! in the input array of primitive variables.
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!
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! Arguments:
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!
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! qq - the input array of primitive variables;
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! vm - the maximum physical speed;
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! cm - the maximum characteristic speed;
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! lm - the maximum eigenvalue;
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!
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!===============================================================================
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!
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subroutine get_maximum_speeds_hd_adi(qq, vm, cm, lm)
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use coordinates, only : nb, ne
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implicit none
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real(kind=8), dimension(:,:,:,:), intent(in) :: qq
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real(kind=8) , intent(out) :: vm, cm, lm
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integer :: i, j, k = 1
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real(kind=8) :: vl, vu, cc
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!-------------------------------------------------------------------------------
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!
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vm = 0.0d+00
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cm = 0.0d+00
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lm = 0.0d+00
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#if NDIMS == 3
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do k = nb, ne
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#endif /* NDIMS == 3 */
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do j = nb, ne
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do i = nb, ne
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vl = minval(qq(ivx:ivz,i,j,k))
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vu = maxval(qq(ivx:ivz,i,j,k))
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vm = max(vm, abs(vl), abs(vu))
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cc = sqrt(adiabatic_index * qq(ipr,i,j,k) / qq(idn,i,j,k))
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cm = max(cm, cc)
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lm = max(lm, abs(vl - cc), abs(vu + cc))
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end do
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end do
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#if NDIMS == 3
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end do
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#endif /* NDIMS == 3 */
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!-------------------------------------------------------------------------------
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!
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end subroutine get_maximum_speeds_hd_adi
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!
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!===============================================================================
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!
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! subroutine ESYSTEM_ROE_HD_ADI:
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! -----------------------------
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!
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@ -2682,6 +2808,69 @@ module equations
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!
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!===============================================================================
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!
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! subroutine GET_MAXIMUM_SPEEDS_MHD_ISO:
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! -------------------------------------
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!
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! Subroutine determines the maximum characteristic speed and eigenvalue
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! in the input array of primitive variables.
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!
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! Arguments:
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!
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! qq - the input array of primitive variables;
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! vm - the maximum physical speed;
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! cm - the maximum characteristic speed;
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! lm - the maximum eigenvalue;
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!
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!===============================================================================
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!
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subroutine get_maximum_speeds_mhd_iso(qq, vm, cm, lm)
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use coordinates, only : nb, ne
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implicit none
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real(kind=8), dimension(:,:,:,:), intent(in) :: qq
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real(kind=8) , intent(out) :: vm, cm, lm
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integer :: i, j, k = 1
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real(kind=8) :: vl, vu, cc, xx
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real(kind=8), dimension(3) :: bb
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!-------------------------------------------------------------------------------
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!
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vm = 0.0d+00
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cm = 0.0d+00
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lm = 0.0d+00
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#if NDIMS == 3
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do k = nb, ne
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#endif /* NDIMS == 3 */
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do j = nb, ne
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do i = nb, ne
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vl = minval(qq(ivx:ivz,i,j,k))
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vu = maxval(qq(ivx:ivz,i,j,k))
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vm = max(vm, abs(vl), abs(vu))
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bb = qq(ibx:ibz,i,j,k) * qq(ibx:ibz,i,j,k) / qq(idn,i,j,k)
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xx = csnd2 + bb(1) + bb(2) + bb(3)
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cc = max(0.0d+00, xx**2 - 4.0d+00 * csnd2 * bb(1))
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cc = sqrt(5.0d-01 * (xx + sqrt(cc)))
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cm = max(cm, cc)
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lm = max(lm, abs(vl - cc), abs(vu + cc))
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end do
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end do
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#if NDIMS == 3
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end do
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#endif /* NDIMS == 3 */
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!-------------------------------------------------------------------------------
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!
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end subroutine get_maximum_speeds_mhd_iso
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!
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!===============================================================================
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!
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! subroutine ESYSTEM_ROE_MHD_ISO:
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! ------------------------------
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!
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@ -3236,6 +3425,70 @@ module equations
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!
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!===============================================================================
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!
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! subroutine GET_MAXIMUM_SPEEDS_MHD_ADI:
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! -------------------------------------
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!
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! Subroutine determines the maximum characteristic speed and eigenvalue
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! in the input array of primitive variables.
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!
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! Arguments:
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!
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! qq - the input array of primitive variables;
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! vm - the maximum physical speed;
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! cm - the maximum characteristic speed;
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! lm - the maximum eigenvalue;
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!
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!===============================================================================
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!
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subroutine get_maximum_speeds_mhd_adi(qq, vm, cm, lm)
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use coordinates, only : nb, ne
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implicit none
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real(kind=8), dimension(:,:,:,:), intent(in) :: qq
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real(kind=8) , intent(out) :: vm, cm, lm
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integer :: i, j, k = 1
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real(kind=8) :: vl, vu, aa, cc, xx
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real(kind=8), dimension(3) :: bb
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!-------------------------------------------------------------------------------
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!
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vm = 0.0d+00
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cm = 0.0d+00
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lm = 0.0d+00
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#if NDIMS == 3
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do k = nb, ne
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#endif /* NDIMS == 3 */
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do j = nb, ne
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do i = nb, ne
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vl = minval(qq(ivx:ivz,i,j,k))
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vu = maxval(qq(ivx:ivz,i,j,k))
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vm = max(vm, abs(vl), abs(vu))
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aa = adiabatic_index * qq(ipr,i,j,k) / qq(idn,i,j,k)
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bb = qq(ibx:ibz,i,j,k) * qq(ibx:ibz,i,j,k) / qq(idn,i,j,k)
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xx = aa + bb(1) + bb(2) + bb(3)
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cc = max(0.0d+00, xx**2 - 4.0d+00 * aa * bb(1))
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cc = sqrt(5.0d-01 * (xx + sqrt(cc)))
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cm = max(cm, cc)
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lm = max(lm, abs(vl - cc), abs(vu + cc))
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end do
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end do
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#if NDIMS == 3
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end do
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#endif /* NDIMS == 3 */
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!-------------------------------------------------------------------------------
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!
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end subroutine get_maximum_speeds_mhd_adi
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!
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!===============================================================================
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!
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! subroutine ESYSTEM_ROE_MHD_ADI:
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! ------------------------------
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!
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@ -3860,6 +4113,72 @@ module equations
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!
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!===============================================================================
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!
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! subroutine GET_MAXIMUM_SPEEDS_SRHD_ADI:
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! --------------------------------------
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!
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! Subroutine determines the maximum characteristic speed and eigenvalue
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! in the input array of primitive variables.
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!
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! Arguments:
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!
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! qq - the input array of primitive variables;
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! vm - the maximum physical speed;
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! cm - the maximum characteristic speed;
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! lm - the maximum eigenvalue;
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!
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!===============================================================================
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!
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subroutine get_maximum_speeds_srhd_adi(qq, vm, cm, lm)
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use coordinates, only : nb, ne
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implicit none
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real(kind=8), dimension(:,:,:,:), intent(in) :: qq
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real(kind=8) , intent(out) :: vm, cm, lm
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integer :: i, j, k = 1
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real(kind=8) :: vl, vu, vv, ww, aa, cc, ss, fc
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real(kind=8), dimension(3) :: bb
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!-------------------------------------------------------------------------------
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!
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vm = 0.0d+00
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cm = 0.0d+00
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lm = 0.0d+00
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#if NDIMS == 3
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do k = nb, ne
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#endif /* NDIMS == 3 */
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do j = nb, ne
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do i = nb, ne
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vl = minval(qq(ivx:ivz,i,j,k))
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vu = maxval(qq(ivx:ivz,i,j,k))
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vm = max(vm, abs(vl), abs(vu))
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vv = sum(qq(ivx:ivz,i,j,k) * qq(ivx:ivz,i,j,k))
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ww = qq(idn,i,j,k) + qq(ipr,i,j,k) / gammaxi
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aa = adiabatic_index * qq(ipr,i,j,k) / ww
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ss = aa * (1.0d+00 - vv) / (1.0d+00 - aa)
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fc = 1.0d+00 + ss
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cc = sqrt(ss * (fc - vv))
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cm = max(cm, cc)
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lm = max(lm, abs(vl - cc), abs(vu + cc))
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end do
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end do
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#if NDIMS == 3
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end do
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#endif /* NDIMS == 3 */
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!-------------------------------------------------------------------------------
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!
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end subroutine get_maximum_speeds_srhd_adi
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!
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!===============================================================================
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!
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! subroutine NR_FUNCTION_SRHD_ADI_1D:
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! ----------------------------------
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!
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@ -5064,6 +5383,42 @@ module equations
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!
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!===============================================================================
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!
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! subroutine GET_MAXIMUM_SPEEDS_SRMHD_ADI:
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! ---------------------------------------
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!
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! Subroutine determines the maximum characteristic speed and eigenvalue
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! in the input array of primitive variables.
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!
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! Arguments:
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!
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! qq - the input array of primitive variables;
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! vm - the maximum physical speed;
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! cm - the maximum characteristic speed;
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! lm - the maximum eigenvalue;
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!
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!===============================================================================
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!
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subroutine get_maximum_speeds_srmhd_adi(qq, vm, cm, lm)
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use coordinates, only : nb, ne
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implicit none
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real(kind=8), dimension(:,:,:,:), intent(in) :: qq
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real(kind=8) , intent(out) :: vm, cm, lm
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!-------------------------------------------------------------------------------
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!
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vm = 0.0d+00
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cm = 1.0d+00
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lm = 1.0d+00
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!-------------------------------------------------------------------------------
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!
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end subroutine get_maximum_speeds_srmhd_adi
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!
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!===============================================================================
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!
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! subroutine NR_VELOCITY_SRMHD_ADI_1D:
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! -----------------------------------
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!
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