A Discontinuous Galerkin Method for Viscous Compressible Multifluids
Computational Physics
2010-12-30 v1 Chemical Physics
Classical Physics
Fluid Dynamics
Abstract
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.
Cite
@article{arxiv.0905.2250,
title = {A Discontinuous Galerkin Method for Viscous Compressible Multifluids},
author = {C. Michoski and J. A. Evans and P. G. Schmitz and A. Vasseur},
journal= {arXiv preprint arXiv:0905.2250},
year = {2010}
}
Comments
33 pages, 12 figures