sll_m_time_propagator_pic_vm_3d3v_cef Module Reference

Description

Particle pusher based on Hamiltonian splitting using in Crouseilles, Einkemmer, Faou for 3d3v Vlasov-Maxwell.

Author

Katharina Kormann, IPP

MPI parallelization by domain cloning. Periodic boundaries. Spline DoFs numerated by the point the spline starts. Reference: Kraus, Kormann, Sonnendrücker, Morrison: GEMPIC: Geometric ElectroMagnetic Particle-In-Cell Methods

Derived types and interfaces
type	sll_t_time_propagator_pic_vm_3d3v_cef
	Hamiltonian splitting type for Vlasov-Maxwell 3d3v. More...

Functions/Subroutines
subroutine	strang_splitting_pic_vm_3d3v (self, dt, number_steps)
	Finalization. More...
subroutine	lie_splitting_pic_vm_3d3v (self, dt, number_steps)
	Lie splitting. More...
subroutine	lie_splitting_back_pic_vm_3d3v (self, dt, number_steps)
	Lie splitting (oposite ordering) More...
subroutine	operatorhp_pic_vm_3d3v (self, dt)
	Push H_p: Equations to be solved $X^{n+1}=X^n+\Delta t V^n$ $M_1 e^n= M_1 e^n- \int_{t^n}^{t^{n+1}} \mathbb{\Lambda}^1(X(\tau))^\top d\tau \mathbb{W}_q V^n$. More...
subroutine	compute_particle_boundary (self, xold, xnew, vi, wi)
	Helper function for operatorHp. More...
subroutine	operatorhb_pic_vm_3d3v (self, dt)
	Push H_B: Equations to be solved $(\mathbb{I}-\Delta \frac{\Delta t q}{2 m} \mathbb{B}(X^n,b^n) V^{n+1}=(\mathbb{I}+ \frac{\Delta t q}{2 m} \mathbb{B}(X^n,b^n) ) V^n$ $M_1 e^{n+1}=M_1 e^n+\Delta t C^\top M_2 b^n$. More...
subroutine	operatorhe_pic_vm_3d3v (self, dt)
	Push H_E: Equations to be solved $V^{n+1}=V^n+\Delta t\mathbb{W}_{\frac{q}{m}} \mathbb{Lambda}^1(X^n) e^n$ $b^{n+1}=b^n-\Delta t C e^n$. More...
subroutine	initialize_pic_vm_3d3v (self, maxwell_solver, particle_mesh_coupling, particle_group, phi_dofs, efield_dofs, bfield_dofs, x_min, Lx, boundary_particles, betar, electrostatic, rhob, control_variate)
	Constructor. More...
subroutine	delete_pic_vm_3d3v (self)
	Destructor. More...

Function/Subroutine Documentation

compute_particle_boundary()

subroutine sll_m_time_propagator_pic_vm_3d3v_cef::compute_particle_boundary ( class(sll_t_time_propagator_pic_vm_3d3v_cef), intent(inout)  self, real(kind=f64), dimension(3), intent(in)  xold, real(kind=f64), dimension(3), intent(inout)  xnew, real(kind=f64), dimension(3), intent(inout)  vi, real(kind=f64), dimension(1), intent(in)  wi  )

private

Helper function for operatorHp.

Parameters

[in,out]

self

time propagator object

Definition at line 213 of file sll_m_time_propagator_pic_vm_3d3v_cef.F90.

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delete_pic_vm_3d3v()

subroutine sll_m_time_propagator_pic_vm_3d3v_cef::delete_pic_vm_3d3v ( class(sll_t_time_propagator_pic_vm_3d3v_cef), intent(inout)  self )

private

Destructor.

Parameters

[in,out]

self

time propagator object

Definition at line 482 of file sll_m_time_propagator_pic_vm_3d3v_cef.F90.

initialize_pic_vm_3d3v()

subroutine sll_m_time_propagator_pic_vm_3d3v_cef::initialize_pic_vm_3d3v ( class(sll_t_time_propagator_pic_vm_3d3v_cef), intent(out)  self, class(sll_c_maxwell_3d_base), intent(in), target  maxwell_solver, class(sll_c_particle_mesh_coupling_3d), intent(in), target  particle_mesh_coupling, class(sll_t_particle_array), intent(in), target  particle_group, real(kind=f64), dimension(:), intent(in), target  phi_dofs, real(kind=f64), dimension(:), intent(in), target  efield_dofs, real(kind=f64), dimension(:), intent(in), target  bfield_dofs, real(kind=f64), dimension(3), intent(in)  x_min, real(kind=f64), dimension(3), intent(in)  Lx, integer(kind=i32), intent(in), optional  boundary_particles, real(kind=f64), dimension(2), intent(in), optional  betar, logical, intent(in), optional  electrostatic, real(kind=f64), dimension(:), intent(in), optional, target  rhob, class(sll_t_control_variates), intent(in), optional, target  control_variate  )

private

Constructor.

Parameters

[out]	self	time propagator object
[in]	maxwell_solver	Maxwell solver
[in]	particle_mesh_coupling	Particle mesh coupling
[in]	particle_group	Particle group
[in]	phi_dofs	array for the coefficients of the scalar potential
[in]	efield_dofs	array for the coefficients of the efields
[in]	bfield_dofs	array for the coefficients of the bfield
[in]	x_min	Lower bound of x domain
[in]	lx	Length of the domain in x direction.
[in]	boundary_particles	particle boundary conditions
[in]	betar	reciprocal plasma beta
[in]	electrostatic	true for electrostatic simulation
[in]	rhob	charge at the boundary
[in]	control_variate	Control variate (if delta f)

Definition at line 398 of file sll_m_time_propagator_pic_vm_3d3v_cef.F90.

lie_splitting_back_pic_vm_3d3v()

subroutine sll_m_time_propagator_pic_vm_3d3v_cef::lie_splitting_back_pic_vm_3d3v ( class(sll_t_time_propagator_pic_vm_3d3v_cef), intent(inout)  self, real(kind=f64), intent(in)  dt, integer(kind=i32), intent(in)  number_steps  )

private

Lie splitting (oposite ordering)

Parameters

[in,out]	self	time propagator object
[in]	dt	time step
[in]	number_steps	number of time steps

Definition at line 146 of file sll_m_time_propagator_pic_vm_3d3v_cef.F90.

lie_splitting_pic_vm_3d3v()

subroutine sll_m_time_propagator_pic_vm_3d3v_cef::lie_splitting_pic_vm_3d3v ( class(sll_t_time_propagator_pic_vm_3d3v_cef), intent(inout)  self, real(kind=f64), intent(in)  dt, integer(kind=i32), intent(in)  number_steps  )

private

Lie splitting.

Parameters

[in,out]	self	time propagator object
[in]	dt	time step
[in]	number_steps	number of time steps

Definition at line 128 of file sll_m_time_propagator_pic_vm_3d3v_cef.F90.

operatorhb_pic_vm_3d3v()

subroutine sll_m_time_propagator_pic_vm_3d3v_cef::operatorhb_pic_vm_3d3v ( class(sll_t_time_propagator_pic_vm_3d3v_cef), intent(inout)  self, real(kind=f64), intent(in)  dt  )

private

Push H_B: Equations to be solved $(\mathbb{I}-\Delta \frac{\Delta t q}{2 m} \mathbb{B}(X^n,b^n) V^{n+1}=(\mathbb{I}+ \frac{\Delta t q}{2 m} \mathbb{B}(X^n,b^n) ) V^n$ $M_1 e^{n+1}=M_1 e^n+\Delta t C^\top M_2 b^n$.

Parameters

[in,out]	self	time propagator object
[in]	dt	time step

Definition at line 268 of file sll_m_time_propagator_pic_vm_3d3v_cef.F90.

operatorhe_pic_vm_3d3v()

subroutine sll_m_time_propagator_pic_vm_3d3v_cef::operatorhe_pic_vm_3d3v ( class(sll_t_time_propagator_pic_vm_3d3v_cef), intent(inout)  self, real(kind=f64), intent(in)  dt  )

private

Push H_E: Equations to be solved $V^{n+1}=V^n+\Delta t\mathbb{W}_{\frac{q}{m}} \mathbb{Lambda}^1(X^n) e^n$ $b^{n+1}=b^n-\Delta t C e^n$.

Parameters

[in,out]	self	time propagator object
[in]	dt	time step

Definition at line 327 of file sll_m_time_propagator_pic_vm_3d3v_cef.F90.

operatorhp_pic_vm_3d3v()

subroutine sll_m_time_propagator_pic_vm_3d3v_cef::operatorhp_pic_vm_3d3v ( class(sll_t_time_propagator_pic_vm_3d3v_cef), intent(inout)  self, real(kind=f64), intent(in)  dt  )

private

Push H_p: Equations to be solved $X^{n+1}=X^n+\Delta t V^n$ $M_1 e^n= M_1 e^n- \int_{t^n}^{t^{n+1}} \mathbb{\Lambda}^1(X(\tau))^\top d\tau \mathbb{W}_q V^n$.

Parameters

[in,out]	self	time propagator object
[in]	dt	time step

Definition at line 166 of file sll_m_time_propagator_pic_vm_3d3v_cef.F90.

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strang_splitting_pic_vm_3d3v()

subroutine sll_m_time_propagator_pic_vm_3d3v_cef::strang_splitting_pic_vm_3d3v ( class(sll_t_time_propagator_pic_vm_3d3v_cef), intent(inout)  self, real(kind=f64), intent(in)  dt, integer(kind=i32), intent(in)  number_steps  )

private

Finalization.

Strang splitting

Parameters

[in,out]	self	time propagator object
[in]	dt	time step
[in]	number_steps	number of time steps

Definition at line 109 of file sll_m_time_propagator_pic_vm_3d3v_cef.F90.