Symmetric conservative metric method: a link between high order finite-difference and finite-volume schemes for flow computations around complex geometries

摘要：

　　High-order finite difference schemes (FDSs) based on symmetric conservative metric method (SCMM) are investigated.Firstly,the decomposition and geometric meaning of the discrete metrics and Jacobian based on SCMM are proposed.In addition,the discrete metrics based on SCMM are compared with that based on another two nonsymmetric forms.Then,high-order central FDS based on SCMM is proved to be a weighted summation of second-order finite volume schemes (FVSs).The decomposition of solution and discrete conservation law are also given.Moreover,the decomposition and connection with FVSs are also discussed for general high-order FDSs.Numerical experiments show superiority of high-order FDSs based on SCMM in stability,keeping high order of accuracy and computing flows around complex geometries.The results in this paper may explain why high-order FDSs based on SCMM can robustly solve problems with complex geometries and may give some guidance in constructing high-order FDSs on curvilinear coordinates.

关键词： High order Finite difference schemes Symmetric conservative metric method Finite volume schemes Complex geometries

作者: Xiaogang Deng Huajun Zhu Yaobing Min Huayong Liu Meiliang Mao Guangxue Wang Hanxin Zhang

作者单位: National University of Defense Technology, Changsha, Hunan 410073, China State Key Laboratory of Aerodynamics, CARDC, Mianyang, Sichuan 621000, China Computational Aerodynamics Institute, CARDC, Mianyang, Sichuan 621000, China Computational Aerodynamics Institute, CARDC, Mianyang, Sichuan 621000, China;National University of

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: 1-26

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）