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A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method). (English) Zbl 0957.76052
From the summary: We propose a new numerical method for treating interfaces in Eulerian schemes that maintains the Heaviside profile of density with no numerical smearing. We use a level set function to track the motion of a multimaterial interface in Eulerian framework. In addition, the use of ghost cells (actually ghost nodes in our finite difference framework) and a new isobaric fix technique allows us to keep the density profile from smearing out, while still keeping the scheme robust and easy to program with simple extensions to multidimensions and multilevel time integration, e.g. by Runge-Kutta methods.

76M20Finite difference methods (fluid mechanics)
76N15Gas dynamics, general
Full Text: DOI
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