Update

The update solver calculate the variables at n+1 step based on numerical fluxes and in-cell collisions.

KitBase.update! — Function

update!(KS, ctr, face, dt, residual; coll, bc, fn, st)

Update algorithm

Arguments

KS: SolverSet
ctr: array of cell-centered solution
face: array of cell interface
dt: time step
residual: residual
coll: collision operator
bc: boundary condition
fn: update function
st: step function

source

update!(
    KS,
    ctr,
    face,
    dt,
    residual;
    coll,
    bc,
    isMHD,
    fn,
    st
)

source

update!(
    KS,
    ctr,
    a1face,
    a2face,
    dt,
    residual;
    coll,
    bc,
    fn,
    st
)

Update algorithm

Arguments

KS: SolverSet
ctr: array of cell-centered solution
a1face: array of cell interface perpendicular to x axis
a2face: array of cell interface perpendicular to y axis
dt: time step
residual: residual
coll: collision operator
bc: boundary condition
fn: update function
st: step function

source

The current solver supports different collision models, for example:

:bgk: BGK relaxation model
:shakhov: Shakhov relaxation model
:boltzmann: Boltzmann: original Boltzmann collision integral

The boundary conditions vary.

:fix: fixed Dirichlet boundary
:period: periodic boundary
:extra: extrapolation
:maxwell: Maxwell's diffusive boundary

The current solver adopts implicit-explicit (IMEX) uniformly. Further Multi-step time integrators can be used in conjunction with method of lines in DifferentialEquations.jl.