Runge-Kutta discontinuous Galerkin method for interface flows with a maximum preserving limiter

@inproceedings{Franquet2012RungeKuttaDG,
  title={Runge-Kutta discontinuous Galerkin method for interface flows with a maximum preserving limiter},
  author={Erwin Franquet and Vincent Perrier},
  year={2012}
}
We propose a high order diffuse interface method for dealing with compressible multiphase flows with interfaces. This scheme is based on the discontinuous Galerkin formulation of [1]. As it is linear, this scheme is oscillating, so that the volume fraction can become negative or greater than 1. For stabilizing it, the maximum preserving limiter introduced in [2] is used. The scheme is applied to the computation of a Rayleigh-Taylor instability. 
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