Improvements on Definition of Interficial Riemann Problem in Real Ghost Fluid Method

In conventional ghost fluid method,Riemann problems are defined by taking direatly states at grid points as initial conditions.In this article,we improve this approach by taking states at interpolated points as initial conditions.States at interpolated points are obtained by area average of states at four surrounding grid points.Since initial conditions are smooth,our method gives results with less numerical oscillations.Numerical experiments illustrate that the method is effective.