Boundary conditions for regularized 13-moment-equations for micro-channel-flows

JOURNAL OF COMPUTATIONAL PHYSICS

卷:227

Article

Torrilhon, Manuel¹  Struchtrup, Henning^2,3 

[1] Swiss Fed Inst Technol, Zurich, Switzerland

[2] Univ Victoria, Dept Mech Engn, Victoria, BC V8W 2Y2, Canada

[3] Swiss Fed Inst Technol, Inst Polymer Phys, Zurich, Switzerland

关键词: kinetic gas theory;    continuum models;    micro-channels;    R13 equations;    boundary value problem;   

DOI  :  10.1016/j.jcp.2007.10.006

来源: Elsevier

【 摘 要 】

Boundary conditions are the major obstacle in simulations based on advanced continuum models of rarefied and micro-flows of gases. In this paper, we present a theory how to combine the regularized 13-moment-equations derived from Boltzmann's equation with boundary conditions obtained from Maxwell's kinetic accommodation model. While for the linear case these kinetic boundary conditions suffice, we need additional conditions in the non-linear case. These are provided by the bulk solutions obtained after properly transforming the equations while keeping their asymptotic accuracy with respect to Boltzmann's equation. After finding a suitable set of boundary conditions and equations, a numerical method for generic shear flow problems is formulated. Several test simulations demonstrate the stable and oscillation-free performance of the new approach. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free