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Modules
module	solver_2d
	Numerical solver.

Functions/Subroutines
subroutine	solver_2d::allocate_solver_variables
	Memory allocation. More...

subroutine	solver_2d::deallocate_solver_variables
	Memory deallocation. More...

subroutine	solver_2d::check_solve
	Masking of cells to solve. More...

subroutine	solver_2d::timestep
	Time-step computation. More...

subroutine	solver_2d::imex_rk_solver
	Runge-Kutta integration. More...

subroutine	solver_2d::solve_rk_step (qj, qj_old, a_tilde, a_dirk, a_diag)
	Runge-Kutta single step integration. More...

subroutine	solver_2d::lnsrch (qj_rel_NR_old, qj_org, qj_old, scal_f_old, grad_f, desc_dir, coeff_f, qj_rel, scal_f, right_term, stpmax, check)
	Search the descent stepsize. More...

subroutine	solver_2d::eval_f (qj, qj_old, a_tilde, a_dirk, a_diag, coeff_f, f_nl, scal_f)
	Evaluate the nonlinear system. More...

subroutine	solver_2d::eval_jacobian (qj_rel, qj_org, coeff_f, left_matrix)
	Evaluate the jacobian. More...

subroutine	solver_2d::update_erosion_deposition_cell (dt)
	Evaluate the eroion/deposition terms. More...

subroutine	solver_2d::eval_explicit_terms (qc_expl, qp_expl, expl_terms)
	Evaluate the explicit terms. More...

subroutine	solver_2d::eval_hyperbolic_terms (q_expl, qp_expl, divFlux)
	Semidiscrete finite volume central scheme. More...

subroutine	solver_2d::eval_flux_up
	Upwind numerical fluxes. More...

subroutine	solver_2d::eval_flux_kt
	Semidiscrete numerical fluxes. More...

subroutine	solver_2d::average_kt (a1, a2, w1, w2, w_avg)
	averaged KT flux More...

subroutine	solver_2d::eval_flux_gforce
	Numerical fluxes GFORCE. More...

subroutine	solver_2d::eval_flux_lxf
	Numerical fluxes Lax-Friedrichs. More...

subroutine	solver_2d::reconstruction (q_expl, qp_expl)
	Linear reconstruction. More...

subroutine	solver_2d::eval_speeds
	Characteristic speeds. More...

Variables
real *8	solver_2d::t
	time More...

real *8, dimension(:,:,:), allocatable	solver_2d::q
	Conservative variables. More...

real *8, dimension(:,:,:), allocatable	solver_2d::q0
	Conservative variables. More...

real *8, dimension(:,:,:), allocatable	solver_2d::q_fv
	Solution of the finite-volume semidiscrete cheme. More...

real *8, dimension(:,:,:), allocatable	solver_2d::q_interfacel
	Reconstructed value at the left of the x-interface. More...

real *8, dimension(:,:,:), allocatable	solver_2d::q_interfacer
	Reconstructed value at the right of the x-interface. More...

real *8, dimension(:,:,:), allocatable	solver_2d::q_interfaceb
	Reconstructed value at the bottom of the y-interface. More...

real *8, dimension(:,:,:), allocatable	solver_2d::q_interfacet
	Reconstructed value at the top of the y-interface. More...

real *8, dimension(:,:,:), allocatable	solver_2d::qp_interfacel
	Reconstructed physical value at the left of the x-interface. More...

real *8, dimension(:,:,:), allocatable	solver_2d::qp_interfacer
	Reconstructed physical value at the right of the x-interface. More...

real *8, dimension(:,:,:), allocatable	solver_2d::qp_interfaceb
	Reconstructed physical value at the bottom of the y-interface. More...

real *8, dimension(:,:,:), allocatable	solver_2d::qp_interfacet
	Reconstructed physical value at the top of the y-interface. More...

real *8, dimension(:,:,:), allocatable	solver_2d::q_cellnw
	Reconstructed value at the NW corner of cell. More...

real *8, dimension(:,:,:), allocatable	solver_2d::q_cellne
	Reconstructed value at the NE corner of cell. More...

real *8, dimension(:,:,:), allocatable	solver_2d::q_cellsw
	Reconstructed value at the SW corner of cell. More...

real *8, dimension(:,:,:), allocatable	solver_2d::q_cellse
	Reconstructed value at the SE corner of cell. More...

real *8, dimension(:,:,:), allocatable	solver_2d::qp_cellnw
	Reconstructed physical value at the NW corner of cell. More...

real *8, dimension(:,:,:), allocatable	solver_2d::qp_cellne
	Reconstructed physical value at the NE corner of cell. More...

real *8, dimension(:,:,:), allocatable	solver_2d::qp_cellsw
	Reconstructed physical value at the SW corner of cell. More...

real *8, dimension(:,:,:), allocatable	solver_2d::qp_cellse
	Reconstructed physical value at the SE corner of cell. More...

real *8, dimension(:,:), allocatable	solver_2d::q1max
	Maximum over time of thickness. More...

real *8, dimension(:,:,:), allocatable	solver_2d::a_interface_x_max
	Max local speeds at the x-interface. More...

real *8, dimension(:,:,:), allocatable	solver_2d::a_interface_y_max
	Max local speeds at the y-interface. More...

real *8, dimension(:,:,:), allocatable	solver_2d::a_interface_xneg
	Local speeds at the left of the x-interface. More...

real *8, dimension(:,:,:), allocatable	solver_2d::a_interface_xpos
	Local speeds at the right of the x-interface. More...

real *8, dimension(:,:,:), allocatable	solver_2d::a_interface_yneg
	Local speeds at the bottom of the y-interface. More...

real *8, dimension(:,:,:), allocatable	solver_2d::a_interface_ypos
	Local speeds at the top of the y-interface. More...

real *8, dimension(:,:,:), allocatable	solver_2d::h_interface_x
	Semidiscrete numerical interface fluxes. More...

real *8, dimension(:,:,:), allocatable	solver_2d::h_interface_y
	Semidiscrete numerical interface fluxes. More...

real *8, dimension(:,:,:), allocatable	solver_2d::qp
	Physical variables ( $\alpha_1, p_1, p_2, \rho u, w, T$ ) More...

real *8, dimension(:,:), allocatable	solver_2d::source_xy
	Array defining fraction of cells affected by source term. More...

logical, dimension(:,:), allocatable	solver_2d::solve_mask

logical, dimension(:,:), allocatable	solver_2d::solve_mask_x

logical, dimension(:,:), allocatable	solver_2d::solve_mask_y

integer	solver_2d::solve_cells

integer	solver_2d::solve_interfaces_x

integer	solver_2d::solve_interfaces_y

real *8	solver_2d::dt
	Time step. More...

logical, dimension(:,:), allocatable	solver_2d::mask22

logical, dimension(:,:), allocatable	solver_2d::mask21

logical, dimension(:,:), allocatable	solver_2d::mask11

logical, dimension(:,:), allocatable	solver_2d::mask12

integer	solver_2d::i_rk
	loop counter for the RK iteration More...

real *8, dimension(:,:), allocatable	solver_2d::a_tilde_ij
	Butcher Tableau for the explicit part of the Runge-Kutta scheme. More...

real *8, dimension(:,:), allocatable	solver_2d::a_dirk_ij
	Butcher Tableau for the implicit part of the Runge-Kutta scheme. More...

real *8, dimension(:), allocatable	solver_2d::omega_tilde
	Coefficients for the explicit part of the Runge-Kutta scheme. More...

real *8, dimension(:), allocatable	solver_2d::omega
	Coefficients for the implicit part of the Runge-Kutta scheme. More...

real *8, dimension(:), allocatable	solver_2d::a_tilde
	Explicit coeff. for the hyperbolic part for a single step of the R-K scheme. More...

real *8, dimension(:), allocatable	solver_2d::a_dirk
	Explicit coeff. for the non-hyp. part for a single step of the R-K scheme. More...

real *8	solver_2d::a_diag
	Implicit coeff. for the non-hyp. part for a single step of the R-K scheme. More...

real *8, dimension(:,:,:,:), allocatable	solver_2d::q_rk
	Intermediate solutions of the Runge-Kutta scheme. More...

real *8, dimension(:,:,:,:), allocatable	solver_2d::qp_rk
	Intermediate physical solutions of the Runge-Kutta scheme. More...

real *8, dimension(:,:,:,:), allocatable	solver_2d::divflux
	Intermediate hyperbolic terms of the Runge-Kutta scheme. More...

real *8, dimension(:,:,:,:), allocatable	solver_2d::nh
	Intermediate non-hyperbolic terms of the Runge-Kutta scheme. More...

real *8, dimension(:,:,:,:), allocatable	solver_2d::si_nh
	Intermediate semi-implicit non-hyperbolic terms of the Runge-Kutta scheme. More...

real *8, dimension(:,:,:,:), allocatable	solver_2d::expl_terms
	Intermediate explicit terms of the Runge-Kutta scheme. More...

real *8, dimension(:,:), allocatable	solver_2d::divfluxj
	Local Intermediate hyperbolic terms of the Runge-Kutta scheme. More...

real *8, dimension(:,:), allocatable	solver_2d::nhj
	Local Intermediate non-hyperbolic terms of the Runge-Kutta scheme. More...

real *8, dimension(:,:), allocatable	solver_2d::expl_terms_j
	Local Intermediate explicit terms of the Runge-Kutta scheme. More...

real *8, dimension(:,:), allocatable	solver_2d::si_nhj
	Local Intermediate semi-impl non-hyperbolic terms of the Runge-Kutta scheme. More...

logical	solver_2d::normalize_q
	Flag for the normalization of the array q in the implicit solution scheme. More...

logical	solver_2d::normalize_f
	Flag for the normalization of the array f in the implicit solution scheme. More...

logical	solver_2d::opt_search_nl
	Flag for the search of optimal step size in the implicit solution scheme. More...

real *8, dimension(:,:,:), allocatable	solver_2d::residual_term
	Sum of all the terms of the equations except the transient term. More...

integer, dimension(:), allocatable	solver_2d::j_cent

integer, dimension(:), allocatable	solver_2d::k_cent

integer, dimension(:), allocatable	solver_2d::j_stag_x

integer, dimension(:), allocatable	solver_2d::k_stag_x

integer, dimension(:), allocatable	solver_2d::j_stag_y

integer, dimension(:), allocatable	solver_2d::k_stag_y

real *8	solver_2d::t_imex1

real *8	solver_2d::t_imex2

Modules

Functions/Subroutines

Variables