Numerical boundary conditions in Finite Volume and Discontinuous Galerkin schemes for the simulation of rarefied flows along solid boundaries

Abstract

We present a numerical comparison between two standard finite volume schemes and a discontinuous Galerkin method applied to the BGK equation of rarefied gas dynamics. We pay a particular attention to the numerical boundary conditions in order to preserve the rate of convergence of the method. Most of our analysis relies on a 1D problem (Couette flow), but we also present some results for a 2D aerodynamical flow.

References in corpus (4)

• A Unified Gas-kinetic Scheme for Continuum and Rarefied Flows IV: full Boltzmann and Model Equations
• Locally refined discrete velocity grids for stationary rarefied flow simulations
• Inverse Lax-Wendroff method for boundary conditions of Boltzmann type models
• A Cartesian Cut Cell Method for Rarefied Flow Simulations around Moving Obstacles

Cited by in corpus (3)

• Kinetic multiscale scheme based on the discrete-velocity and lattice-Boltzmann methods
• Implementation of Asymptotic Preserving Discrete Velocity Methods into the Simulation Code PICLas
• BGK and Fokker Planck Models for thermally perfect gases