A discontinuous Galerkin method for viscous compressible multifluids

JOURNAL OF COMPUTATIONAL PHYSICS

卷:229

Article

Michoski, C.¹  Evans, J. A.²  Schmitz, P. G.³  Vasseur, A.³ 

[1] Univ Texas Austin, Dept Chem & Biochem, Austin, TX 78712 USA

[2] Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA

[3] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

关键词: Navier-Stokes;    Discontinuous Galerkin;    Numerical methods;    Runge-Kutta;    Mixing;    Barotropic;    Compressible flow;    Viscous;    Miscible;    Multicomponent;    Multiphase;    Multifluid;    Chemical;    Acoustic;   

DOI  :  10.1016/j.jcp.2009.11.033

来源: Elsevier

【 摘 要 】

We present a generalized discontinuous Galerkin method for a multicomponent compressible barotropic Navier-Stokes system of equations. The system presented has a functional viscosity nu which depends on the pressure p = p(rho, mu(i)) of the flow, with the density rho and the local concentration mu(i). High order Runge-Kutta time-discretization techniques are employed, and different methods of dealing with arbitrary coupled boundary conditions are discussed. Analysis of the energy consistency of the scheme is performed in addition to inspection of the relative error of the solution compared to exact analytic test cases. Finally several examples, comparisons, generalizations and physical applications are presented. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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