Linear Regularized 13-Moment Equations with Onsager Boundary Conditions for General Gas Molecules

SIAM Journal on Applied Mathematics, vol. 84, pp. 215–245

Abstract

Abstract. We develop the steady-state regularized 13-moment equations in the linear regime for rarefied gas dynamics with general collision models. For small Knudsen numbers, the model is accurate up to the super-Burnett order, and the resulting system of moment equations is shown to have a symmetric structure. We also propose Onsager boundary conditions for the moment equations that guarantee the stability of the equations. The validity of our model is verified by benchmark examples for the one-dimensional channel flows.

Authors 3

1. Zhenning Cai

   National University of Singapore

   Affiliation as printed

   Department of Mathematics, National University of Singapore, 119076 Singapore

2. Manuel Torrilhon Aachen Applied and Computational Mathematics

   RWTH Aachen University

   Affiliation as printed

   Applied and Computational Mathematics, RWTH Aachen University, 52062 Aachen, Germany

3. Siyao Yang

   University of Chicago

   Affiliation as printed

   Corresponding author. Department of Statistics, University of Chicago, Chicago, IL 60637 USA