A multiscale fast semi-Lagrangian method for rarefied gas dynamics

作者：Dimarco Giacomo^*; Loubere Raphael; Rispoli Vittorio

来源：Journal of Computational Physics, 2015, 291: 99-119.

DOI：10.1016/j.jcp.2015.02.031

• Kinetic equations
• Discrete velocity models
• Semi-Lagrangian schemes
• Boundary conditions
• Domain decomposition
• Multiscale problems
• BGK equation

In this paper we consider the extension of the method developed in Dimarco and Loubere (2013) [22,23] with the aim of facing the numerical resolution of multi-scale problems arising in rarefied gas dynamics. The scope of this work is to consider situations in which the whole domain does not demand the use of a kinetic model everywhere. This is the case of many realistic applications: some regions of the computational domain require a microscopic description, given by a kinetic model while the rest of the domain can be described by a coarser model of fluid type. Our aim is to show how the kinetic scheme developed in the pre-cited articles is perfectly suited for building domain decomposition strategies which make the method more attractive with respect to classical numerical techniques for kinetic equations and multi-scale realistic problems. Several numerical evidences are provided in this work in the two dimensional and three dimensional settings to assess the efficiency of the domain decomposition scheme.

• 出版日期2015-6-15