Computation of three dimensional fluid interface instability with random perturbation is performed on a 8 CPU personal parallel computer system.The parallel computation platform is a message passage interface (MPI).A second order TVD scheme with Ghost method is applied with a fully parallel algorithm to the 3D Euler equations.Level Set function is used to track the motion of a fluid interface in an Eulerian framework.Buffer zone and data communication are discussed.The number of computation meshes is about 1 million.Bubble evolution with random perturbation in Rayleigh Taylor instability is obtained by numerical simulation.

It uses a Level Set function to track the motion of a fluid interface in an Eulerian framework.In addition,the use of Ghost cells (actually Ghost nodes in the difference framework) can keep the density profile from smearing out,while still preserving the scheme robust 2-nd easy to program with and accuracy TVD scheme in spacial and two step Runge Kutta methods.In contrast, the references[6][7] allow the density profile smearing out.This method significantly improves the resolution at the contact discontinuity.