High order semi-Lagrangian methods for the BGK equation

Abstract

A new class of high-order accuracy numerical methods for the BGK model of the Boltzmann equation is presented. The schemes are based on a semi-lagrangian formulation of the BGK equation; time integration is dealt with DIRK (Diagonally Implicit Runge Kutta) and BDF methods; the latter turn out to be accurate and computationally less expensive than the former. Numerical results and examples show that the schemes are reliable and efficient for the investigation of both rarefied and fluid regimes in gasdynamics.

References in corpus (2)

• Cauchy problem for the Boltzmann-BGK model near a global Maxwellian
• A New Class of Conservative Large Time Step Methods for the BGK Models of the Boltzmann Equation

Cited by in corpus (3)

• High-order semi-Lagrangian kinetic scheme for compressible turbulence
• Semi-Lagrangian nodal discontinuous Galerkin method for the BGK Model
• Accuracy and stability analysis of the Semi-Lagrangian method for stiff hyperbolic relaxation systems and kinetic BGK model