A Discontinuous Galerkin Level Set Method for Compressible two Fluid Flow

Abstract

It is a crucial problem in the studies of the fluid on numerical simulations of the interfaces movement in multi-component fluids. In the present paper, a discontinuous Galerkin method is developed to simulate two-fluid flow. A level set method is used to capturing moving interfaces and a ghost fluid method with isobaric fix is used to disposing the interfaces boundary. Several test problems of two fluid flowing is solved and the comparisons between the numerical results and exact case are performed, which indicate the effectiveness of the method.