Asymptotic-Preserving scheme based on a Finite Volume/Particle-In-Cell coupling for Boltzmann- BGK-like equations in the diffusion scaling

Figure 12: Relative difference between the computed solution and the exact drift-fluid limit of the resolved AP scheme at time t = 0.1 for unprepared initial and boundary conditions ε

This is to be compared to the behaviour of classical schemes for the fluid models (i.e. the Euler-Poisson problem in the quasineutral limit) [12], where it has been observed that

While almost all the schemes mentioned before are based on very similar ideas, the approach proposed in [23] has been shown to be very general, since it applies to kinetic equations

Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro-macro decomposition based

In all the numerical simulations conducted we employ the second order scheme that is described in section 3.4, which is based on Strang splitting for the Vlasov equation and the

This idea has been used to design a numerical scheme that preserves both the compressible Euler and Navier-Stokes asymptotics for the Boltzmann equation of rar- efied gas dynamics

We present a comparison between the numerical solution to the Boltzmann equation ob- tained using a spectral scheme [17], the approximation to the compressible Navier-Stokes

We propose a cell-centred symmetric scheme which combines the advantages of MPFA (multi point flux approximation) schemes such as the L or the O scheme and of hybrid schemes: it may