A discontinuous Galerkin method for viscous compressible multifluids
We present a generalized discontinuous Galerkin method for a multicomponent compressible barotropic NavierStokes system of equations. The system presented has a functional viscosity ? ? which depends on the pressure p=p(?,?i) p = p ( ? , ? i ) of the flow, with the density ? ? and the local concentration ?i ? i . High order RungeKutta 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.
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