Vlasov Solver

vlapy.core.vlasov.get_edfdv(stuff_for_time_loop, edfdv_implementation='exponential')

This function enables VlaPy to choose the implementation of the edfdv stepper to use in the lower level sections of the simulation

Parameters

• stuff_for_time_loop – (dictionary) contains the derived parameters for the simulation

• vdfdx_implementation – (string) the chosen v df/dx implementation for for this simulation

Returns

vlapy.core.vlasov.get_edfdv_center_differenced(dv)

This function creates the center differenced e df/dv stepper

It uses dv as metadata that should stay constant throughout the simulation

Parameters

dv – (float) the velocity grid spacing

Returns

a function with the above values initialized as static variables

vlapy.core.vlasov.get_edfdv_exponential(kv)

This function creates the exponential v df/dx stepper

It uses kv as metadata that should stay constant throughout the simulation

Parameters

kv – (float array (nv, )) the velocity-space wavenumber

Returns

a function with the above values initialized as static variables

vlapy.core.vlasov.get_edfdv_sl(x, v)

Get the e df/dv Semi-Lagrangian stepper

Parameters

• x – (float array (nx, )) the spatial grid

• v – (float array (nv, )) the velocity grid

Returns

a function with the above inputs used to initialize useful static variables

vlapy.core.vlasov.get_vdfdx(stuff_for_time_loop, vdfdx_implementation='exponential')

This function enables VlaPy to choose the implementation of the vdfdx stepper to use in the lower level sections of the simulation

Parameters

• stuff_for_time_loop – (dictionary) contains the derived parameters for the simulation

• vdfdx_implementation – (string) the chosen v df/dx implementation for for this simulation

Returns

vlapy.core.vlasov.get_vdfdx_exponential(kx, v)

This function creates the exponential v df/dx stepper

It uses kx and v as metadata that should stay constant throughout the simulation

Parameters

• kx – (float array (nx, )) the real-space wavenumber

• v – (float array (nv, )) the velocity grid

Returns

a function with the above values initialized as static variables

vlapy.core.vlasov.get_vdfdx_sl(x, v)

Get the v df/dx Semi-Lagrangian stepper

Parameters

• x – (float array (nx, )) the spatial grid

• v – (float array (nv, )) the velocity grid

Returns

a function with the above inputs used to initialize useful static variables