Explicit WENO scheme (generic) for the advection equation.
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| subroutine | compute_cell_cons_advection_term_exp_upwind_generic_weno (velocity, time_step, scalar, divut, flux_type, directions, weno_scheme_backward, weno_scheme_forward) |
| | Fills divuT with \( div(u \cdot T) \) with a generic weno scheme Non regular grid. More...
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| subroutine | compute_cell_cons_advection_term_exp_centered_generic_weno (velocity, time_step, scalar, divut, flux_type, directions, weno_scheme_centered) |
| | Fills divuT with \( div(u \cdot T) \) with a generic weno scheme Non regular grid. More...
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| subroutine | compute_cell_advection_term_explicit_weno3_fd_wrapper (velocity, time_step, scalar, flux_type, directions, divut) |
| | Wrapper function for compute_cell_advection_term_explicit_weno3_fd. More...
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| subroutine | compute_cell_advection_term_explicit_weno5_fd_wrapper (velocity, time_step, scalar, flux_type, directions, divut) |
| | Wrapper function for compute_cell_advection_term_explicit_weno5_fd. More...
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| subroutine | compute_cell_advection_term_explicit_weno5_fd (velocity, scalar, divut) |
| | Fills \( \nabla \cdot (u \cdot T) \) with a \( 5^{th} \) order finite difference based WENO scheme [1]. More...
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| subroutine | weno5_gen (flux_in, flux_out, weno_select) |
| | Computes flux for a \( 5^{th} \) order finite difference based WENO scheme. More...
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| subroutine | compute_cell_advection_term_explicit_weno3_fd (velocity, scalar, divut) |
| | Fills \( \nabla \cdot (u \cdot T) \) with a \( 3^{rd} \) order finite difference based WENO scheme [2]. More...
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| subroutine | weno3_gen (flux_in, flux_out, weno_select) |
| | Computes flux for a \( 3^{th} \) order finite difference based WENO scheme. More...
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◆ compute_cell_advection_term_explicit_weno3_fd()
| subroutine mod_compute_cell_cons_advection_term_exp_generic_weno::compute_cell_advection_term_explicit_weno3_fd |
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type(t_face_field), intent(in) |
velocity, |
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double precision, dimension(:,:,:), intent(in) |
scalar, |
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double precision, dimension(:,:,:), intent(inout) |
divut |
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) |
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- Parameters
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| [in] | velocity | velocity field |
| [in] | scalar | scalar cell centered field |
| [in,out] | divut | \( div(u \cdot T) \) [2] Jiang, G.-S. and Peng, D., Weighted ENO Schemes for Hamilton–Jacobi Equations, SIAM J. Sci. Comput., Vol. 21, No. 6, Dec. 1999, pp. 2126–2143. |
- Todo:
- [AJ]: Generalize for rectilinear grids. Only supports Cartesian grids.
◆ compute_cell_advection_term_explicit_weno3_fd_wrapper()
| subroutine mod_compute_cell_cons_advection_term_exp_generic_weno::compute_cell_advection_term_explicit_weno3_fd_wrapper |
( |
type(t_face_field), intent(in) |
velocity, |
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double precision, intent(in) |
time_step, |
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double precision, dimension(:,:,:), intent(in) |
scalar, |
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type(t_fv_flux), intent(in) |
flux_type, |
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integer, dimension(:), intent(in) |
directions, |
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double precision, dimension(:,:,:), intent(inout) |
divut |
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) |
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◆ compute_cell_advection_term_explicit_weno5_fd()
| subroutine mod_compute_cell_cons_advection_term_exp_generic_weno::compute_cell_advection_term_explicit_weno5_fd |
( |
type(t_face_field), intent(in) |
velocity, |
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double precision, dimension(:,:,:), intent(in) |
scalar, |
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double precision, dimension(:,:,:), intent(inout) |
divut |
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) |
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- Parameters
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| [in] | velocity | velocity field |
| [in] | scalar | scalar cell centered field |
| [in,out] | divut | \( div(u \cdot T) \) |
[1] Jiang, G.-S. and Shu, C.-W., Efficient Implementation of Weighted ENO Schemes, Journal of Computational Physics, Vol. 126, No. 1, 1996, pp. 202-228 .
- Todo:
- [AJ]: Generalize for rectilinear grids. Only supports Cartesian grids.
◆ compute_cell_advection_term_explicit_weno5_fd_wrapper()
| subroutine mod_compute_cell_cons_advection_term_exp_generic_weno::compute_cell_advection_term_explicit_weno5_fd_wrapper |
( |
type(t_face_field), intent(in) |
velocity, |
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double precision, intent(in) |
time_step, |
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double precision, dimension(:,:,:), intent(in) |
scalar, |
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type(t_fv_flux), intent(in) |
flux_type, |
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integer, dimension(:), intent(in) |
directions, |
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double precision, dimension(:,:,:), intent(inout) |
divut |
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) |
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◆ compute_cell_cons_advection_term_exp_centered_generic_weno()
| subroutine mod_compute_cell_cons_advection_term_exp_generic_weno::compute_cell_cons_advection_term_exp_centered_generic_weno |
( |
type(t_face_field), intent(in) |
velocity, |
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double precision, intent(in) |
time_step, |
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double precision, dimension(:,:,:), intent(in) |
scalar, |
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double precision, dimension(:,:,:), intent(inout) |
divut, |
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type(t_fv_flux), intent(in) |
flux_type, |
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integer, dimension(:), intent(in) |
directions, |
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class(t_int_weno_scheme), intent(inout) |
weno_scheme_centered |
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) |
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- Parameters
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| [in] | velocity | the velocity u |
| [in] | scalar | the scalar T to be advected |
| [in] | flux_type | the flux type |
| [in] | time_step | the time step \( \delta t^{n} = t^{n+1} - t^{n} \) |
| [in] | directions | the vector made of directions ([1,2,3] for all of them). This is used for splitted methods. |
| [in,out] | weno_scheme_backward | the given WENO scheme for backward interpolation |
| [in,out] | weno_scheme_forward | the given WENO scheme for forward interpolation |
| [in,out] | divut | the resulting explicit term |
◆ compute_cell_cons_advection_term_exp_upwind_generic_weno()
| subroutine mod_compute_cell_cons_advection_term_exp_generic_weno::compute_cell_cons_advection_term_exp_upwind_generic_weno |
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type(t_face_field), intent(in) |
velocity, |
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double precision, intent(in) |
time_step, |
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double precision, dimension(:,:,:), intent(in) |
scalar, |
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double precision, dimension(:,:,:), intent(inout) |
divut, |
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type(t_fv_flux), intent(in) |
flux_type, |
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integer, dimension(:), intent(in) |
directions, |
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class(t_int_weno_scheme), intent(inout) |
weno_scheme_backward, |
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class(t_int_weno_scheme), intent(inout) |
weno_scheme_forward |
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) |
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- Parameters
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| [in] | velocity | the velocity u |
| [in] | scalar | the scalar T to be advected |
| [in] | flux_type | the flux type |
| [in] | time_step | the time step \( \delta t^{n} = t^{n+1} - t^{n} \) |
| [in] | directions | the vector made of directions ([1,2,3] for all of them). This is used for splitted methods. |
| [in,out] | weno_scheme_backward | the given WENO scheme for backward interpolation |
| [in,out] | weno_scheme_forward | the given WENO scheme for forward interpolation |
| [in,out] | divut | the resulting explicit term |
◆ weno3_gen()
| subroutine mod_compute_cell_cons_advection_term_exp_generic_weno::weno3_gen |
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double precision, dimension (:), intent(in) |
flux_in, |
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double precision, intent(out) |
flux_out, |
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integer, intent(in) |
weno_select |
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) |
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- Parameters
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| [in] | flux_in | input values to determine WENO flux |
| [out] | flux_out | WENO flux |
| [in] | weno_select | upwinding direction |
◆ weno5_gen()
| subroutine mod_compute_cell_cons_advection_term_exp_generic_weno::weno5_gen |
( |
double precision, dimension (:,:), intent(in) |
flux_in, |
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double precision, dimension (:), intent(out) |
flux_out, |
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integer, intent(in) |
weno_select |
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) |
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- Parameters
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| [in] | flux_in | input values to determine WENO flux |
| [out] | flux_out | WENO flux |
| [in] | weno_select | upwinding direction |
1.9.5