압축성 점성 유동 해석을 위한 고차 정확도 불연속 갤러킨-다차원 충격파 포착 기법 연구

Abstract

The present paper deals with the multi-dimensional limiting process (MLP) for higher-order discontinuous Galerkin (DG) methods to compute compressible viscous flows. From the previous works, it was observed that the MLP methods provide an accurate, robust and efficient oscillation-control mechanism in multiple dimensions for linear reconstruction. Recently, MLP has been extended into DG method for hyperbolic conservation laws. This method can be readily extended to viscous flow computation. Various numerical experiments show that the proposed method yields outstanding performances in resolving compressible viscous flow feature.