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Computing interface motion in compressible gas dynamics. (English) Zbl 0758.76044

The moving front is described as a particular set in a fixed domain of a partial differential equation. Numerical techniques borrowed from hyperbolic conservation laws are used to accurately capture the surface motion. The compressible Rayleigh-Taylor and Kelvin-Helmholtz instabilities for air-air and air-helium boundaries are studied. Numerical convergence studies of the method over a range of parameters are performed and the accuracy of this approach is analyzed.

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76T99 Multiphase and multicomponent flows
76E17 Interfacial stability and instability in hydrodynamic stability
76E99 Hydrodynamic stability
76N15 Gas dynamics (general theory)
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