sll_m_time_propagator_pic_vm_1d2v_trafo_helper.F90 File Reference

#include "sll_assert.h"
#include "sll_errors.h"
#include "sll_memory.h"
#include "sll_working_precision.h"

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Data Types
type	sll_t_time_propagator_pic_vm_1d2v_trafo_helper
	Hamiltonian splitting type for Vlasov-Maxwell 1d2v. More...

Modules
module	sll_m_time_propagator_pic_vm_1d2v_trafo_helper
	Particle pusher based on antisymmetric splitting with AVF for 1d2v Vlasov-Poisson with coordinate transformation.

Functions/Subroutines
subroutine	advect_x_pic_vm_1d2v_trafo (self, dt)
	Finalization. More...
subroutine	compute_particle_boundary (self, xold, xnew, vi)
	Helper function for advect_x. More...
subroutine	advect_vb_pic_vm_1d2v_trafo (self, dt)
	advect_vb: Equations to be solved $V^{n+1}= (\cos(DF/J_F B)&\sin(DF/J_F B) \ -\sin(DF/J_F B) &\cos(DF/J_F B) ) V^n More...
subroutine	advect_eb_pic_vm_1d2v_trafo (self, dt)
	advect_eb: Equations to be solved Solution with Schur complement: $ S=M_1+\frac{\Delta t^2}{4} D^\top M_2 D $ $ e_2^{n+1}=S^{-1}( (M_1-\frac{\Delta t^2}{4} D^\top M_2 D)e_2^n+\Delta t D^\top M_2 b_3^n) $ $ b_3^{n+1}=b_3^n-\frac{\Delta t}{2} C(e_2^n+e_2^{n+1}) $ More...
subroutine	advect_e_pic_vm_1d2v_trafo (self, dt)
	advect_e: Equations to be solved Solution with Schur complement: $ S_{+}=M_1+\frac{\Delta t^2 q^2}{4 m} (\mathbb{\Lambda}^1)^T DF^{-1} DF^{-T} \mathbb{\Lambda}^1 $ $e^{n+1}=S_{+}^{-1}\left(S_{-}e^n-\Delta t (\mathbb{\Lambda}^1)^\top DF^{-1}\mathbb{W}_q V^n \right)$ $V^{n+1}=V^n+\frac{\Delta t}{2} \mathbb{W}_{\frac{q}{m}} DF^{-\top} \mathbb{\Lambda}^1(e^{n+1}+e^n)$ More...
subroutine	advect_ex_pic_vm_1d2v_trafo (self, dt)
	advect_ex: Equations to be solved $\frac{\Xi^{n+1}-\Xi^n}{\Delta t}=\frac{DF^{-1}(\Xi^{n+1})+DF^{-1}(\Xi^n)}{2} \frac{V^{n+1}+V^n}{2}$ $\frac{V^{n+1}-V^n}{\Delta t}=\mathbb{W}_{\frac{q}{m}} \frac{DF^{-\top}(\Xi^{n+1})+DF^{-\top}(\Xi^n)}{2} \frac{1}{\Delta t}\int_{t^n}^{t^{n+1}} \mathbb{\Lambda}^1(\Xi(\tau)) d\tau \frac{e^{n+1}+e^n}{2}$ $\frac{M_1 e^{n+1}-M_1 e^n}{\Delta t} = - \frac{1}{\Delta t} \int_{t^n}^{t^{n+1}} \mathbb{\Lambda}^1(\Xi(\tau))^\top d\tau \frac{DF^{-1}(\Xi^{n+1})+DF^{-1}(\Xi^n)}{2} \mathbb{W}_q\frac{V^{n+1}+V^n}{2}$ More...
subroutine	compute_particle_boundary_current_evaluate (self, xi, xnew, vi, vbar, wi, qoverm, dt)
	Helper function for advect_ex. More...
subroutine	initialize_pic_vm_1d2v_trafo (self, maxwell_solver, kernel_smoother_0, kernel_smoother_1, particle_group, efield_dofs, bfield_dofs, x_min, Lx, map, boundary_particles, solver_tolerance, iter_tolerance, max_iter, force_sign, rhob, jmean)
	Constructor. More...
subroutine	initialize_file_pic_vm_1d2v_trafo (self, maxwell_solver, kernel_smoother_0, kernel_smoother_1, particle_group, efield_dofs, bfield_dofs, x_min, Lx, map, filename, boundary_particles, force_sign, rhob, jmean)
	Constructor. More...
subroutine	delete_pic_vm_1d2v_trafo (self)
	Destructor. More...