CALCULATION OF 1-D COMPRESSIBLE TWO-COMPONENT FLOWS BY A COUPLED LEVEL SET METHOD WITH GHOST FLUID CORRECTION

1-D compressible two component flows are computed with a modified Level Set method where the Euler equations and Level Set equation are combined into a whole conservation law and are solved with high resolution finite difference schemes. In order to minimize the numerical oscillation near the fluid interface, the Ghost Fluid method is used together with the Isobaric Fix, and numerical results are presented for 1-D problems.