Shock-Capturing Analysis of High-Order Schemes through Analytical Solution of the Discrete Schemes and their Equivalent Differential Equations

摘要：

　　Shock capturing is analyzed for residual-based compact schemes (RBC) of 5th and 7thorder of accuracy.Exact expressions are found for steady discrete shocks and continuous shock profiles of equivalent differential equations (EDE) for a general convex conservation law.The results show the validity of EDE as a continuous model for shock capturing with these high-order schemes.The present analysis is applied to control oscillations in steady discrete shocks.A simple correction of the RBC schemes is also tested for moving shocks of the Euler equations.

关键词： High-order schemes Shock capturing Discrete shocks Equivalent differential equation

作者: Alain Lerat

作者单位: DynFluid Lab., Arts et Metiers ParisTech, 151 bd de l’Hopital, 75013 Paris, France

会议类型: 国际会议

会议名称: The 8th International Conference of Computational Fluid Dynamics, (ICCFD8)(第八届国际计算流体力学会议)

会议地点: 成都

会议语种:英文

页码: 1-12

在线出版日期: 2014-07-25（万方平台首次上网日期，不代表论文的发表时间）