The ghost fluid method for deflagration and detonation discontinuities

The level set method for multiphase compressible flows is simple to impleme nt, especially in the presence of topological changes. However, this method was shown to suffer from large spurious oscillations. A new Ghost Fluid Me thod (GFM) was developed to remove these spurious oscillations by minimizin g the numerical smearing in the entropy field with the help of an Isobaric Fix technique. The GFM was designed for traditional contact discontinuities where the interface moves with the fluid velocity only. In this paper, the GFM is extended to treat multimaterial interfaces where the interface velo city includes a regression rate due to the presence of chemical reactions c onverting one material into another. Specifically, interface models for def lagration and detonation discontinuities are considered. The resulting nume rical method is robust and easy to implement. (C) 1999 Academic Press.