SplitVlasovSolver Class Reference

A class that solves a Vlasov equation using Strang's splitting. More...

Inheritance diagram for SplitVlasovSolver:

Public Member Functions
	SplitVlasovSolver (IAdvectionSpatial< GeometryXVx, GridX > const &advec_x, IAdvectionVelocity< GeometryXVx, GridVx > const &advec_vx)
	Creates an instance of the split vlasov solver class.
DFieldSpXVx	operator() (DFieldSpXVx allfdistribu, DConstFieldX electric_field, double dt) const override
	Solves a Vlasov equation on a timestep dt.
	SplitVlasovSolver (IAdvectionSpatial< GeometryXYVxVy, GridX > const &advec_x, IAdvectionSpatial< GeometryXYVxVy, GridY > const &advec_y, IAdvectionVelocity< GeometryXYVxVy, GridVx > const &advec_vx, IAdvectionVelocity< GeometryXYVxVy, GridVy > const &advec_vy)
	Creates an instance of the split vlasov solver class.
DFieldSpXYVxVy	operator() (DFieldSpXYVxVy allfdistribu, DConstFieldXY electric_field_x, DConstFieldXY electric_field_y, double dt) const override
	Solves a Vlasov equation on a timestep dt.

Detailed Description

A class that solves a Vlasov equation using Strang's splitting.

The Vlasov equation is split between two advection equations along the X and Vx directions. The splitting involves solving the x-direction advection first on a time interval of length dt/2, then the vx-direction advection on a time dt, and then x-direction again on dt/2.

The Vlasov equation is split between four advection equations along the X, Y, Vx and Vy directions. The splitting involves solving the advections in the X, Y, and Vx directions first on a time interval of length dt/2, then the Vy-direction advection on a time dt, and finally the X, Y, and Vx directions again in reverse order on dt/2.

Constructor & Destructor Documentation

SplitVlasovSolver() [1/2]

SplitVlasovSolver::SplitVlasovSolver	(	IAdvectionSpatial< GeometryXVx, GridX > const &	advec_x,
		IAdvectionVelocity< GeometryXVx, GridVx > const &	advec_vx
	)

Creates an instance of the split vlasov solver class.

Parameters

[in]	advec_x	An advection operator along the x direction.
[in]	advec_vx	An advection operator along the vx direction.

SplitVlasovSolver() [2/2]

SplitVlasovSolver::SplitVlasovSolver	(	IAdvectionSpatial< GeometryXYVxVy, GridX > const &	advec_x,
		IAdvectionSpatial< GeometryXYVxVy, GridY > const &	advec_y,
		IAdvectionVelocity< GeometryXYVxVy, GridVx > const &	advec_vx,
		IAdvectionVelocity< GeometryXYVxVy, GridVy > const &	advec_vy
	)

Creates an instance of the split vlasov solver class.

Parameters

[in]	advec_x	An advection operator along the x direction.
[in]	advec_y	An advection operator along the y direction.
[in]	advec_vx	An advection operator along the vx direction.
[in]	advec_vy	An advection operator along the vy direction.

Member Function Documentation

operator()() [1/2]

DFieldSpXVx SplitVlasovSolver::operator() ( DFieldSpXVx  allfdistribu, DConstFieldX  electric_field, double  dt  ) const

overridevirtual

Solves a Vlasov equation on a timestep dt.

Parameters

[in,out]	allfdistribu	On input : the initial value of the distribution function. On output : the value of the distribution function after solving the Vlasov equation.
[in]	electric_field	The electric field computed at all spatial positions.
[in]	dt	The timestep.

Returns

The distribution function after solving the Vlasov equation.

Implements IBoltzmannSolver.

operator()() [2/2]

DFieldSpXYVxVy SplitVlasovSolver::operator() ( DFieldSpXYVxVy  allfdistribu, DConstFieldXY  electric_field_x, DConstFieldXY  electric_field_y, double  dt  ) const

overridevirtual

Solves a Vlasov equation on a timestep dt.

Parameters

[in,out]	allfdistribu	On input : the initial value of the distribution function. On output : the value of the distribution function after solving the Vlasov equation.
[in]	electric_field_x	The electric field in the x direction computed at all spatial positions.
[in]	electric_field_y	The electric field in the y direction computed at all spatial positions.
[in]	dt	The timestep.

Returns

The distribution function after solving the Vlasov equation.

Implements IVlasovSolver.

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The documentation for this class was generated from the following files:

• /home/runner/work/gyselalibxx/gyselalibxx/code_branch/src/geometryXVx/boltzmann/splitvlasovsolver.hpp
• /home/runner/work/gyselalibxx/gyselalibxx/code_branch/src/geometryXYVxVy/vlasov/splitvlasovsolver.hpp