Study of multi-weighted essentially non-oscillatory scheme with ghost cell method for solving the Euler equation

In this paper,a high order accurate MWENO(multi-weighted essentially non-oscillatory) scheme was applied to solve for the compressible Euler equations on Cartesian grids. However,such scheme could not solve the problems of flowing over a complex geometry body well. The ghost cell method was a novel and general numerical simulation technique for handling this difficulty without any further procedures on such meshes. The MWENO scheme in conjunction with the ghost cell method was used for solving the associate problems on Cartesian grids. Finally,some classic numerical tests were provided to show the effectiveness of these procedures.