Computing the evolution of interfaces using multi-component flow equations

Abstract

A numerical scheme for computing compressible multi-component flows is examined. The numerical approach is based on a mathematical model that considers interfaces between fluids as numerically diffused zones. The hyperbolic problem is tackled using a high-resolution HLLC scheme on a fixed Eulerian mesh. The scheme for the non-conservative terms is derived to fulfill the interface condition. The results are demonstrated for several one and two-dimensional test cases.