An h-adaptive Discontinuous Galerkin Method for Laminar Compressible Navier-Stokes Equations on Curved Mesh  

作　　者：Sun Qiang L yu Hongqiang Wu Yizhao 

机构地区：[1]College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R. China

出　　处：《Transactions of Nanjing University of Aeronautics and Astronautics》2016年第5期566-575,共10页南京航空航天大学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(11272152)

摘　　要：An h-adaptive method is developed for high-order discontinuous Galerkin methods(DGM)to solve the laminar compressible Navier-Stokes(N-S)equations on unstructured mesh.The vorticity is regarded as the indicator of adaptivity.The elements where the vorticity is larger than a pre-defined upper limit are refined,and those where the vorticity is smaller than a pre-defined lower limit are coarsened if they have been refined.A high-order geometric approximation of curved boundaries is adopted to ensure the accuracy.Numerical results indicate that highly accurate numerical results can be obtained with the adaptive method at relatively low expense.An h-adaptive method is developed for high-order discontinuous Galerkin methods （DGM） to solve the laminar compressible Navier-Stokes （N-S） equations on unstructured mesh. The vorticity is regarded as the indica- tor of adaptivity. The elements where the vorticity is larger than a pre-defined upper limit are refined, and those where the vorticity is smaller than a pre-defined lower limit are coarsened if they have been refined. A high-order geometric approximation of curved boundaries is adopted to ensure the accuracy. Numerical results indicate that highly accurate numerical results can be obtained with the adaptive method at relatively low expense.

关 键 词：h-adaptivity high-order discontinuous Galerkin methods(DGM) N-S equations high-order boundary approximation 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]