三维流体非协调网格隐式插值方法
Implicit Interpolation Method for Non-conforming Meshes of Three-dimensional Flow
宋伟豪 1朱晗玥 1毛佳 1赵兰浩1
作者信息
- 1. 河海大学水利水电学院,南京 210098
- 折叠
摘要
非协调网格常被用于处理运动边界和局部网格加密,其关键在于确保非协调子域间的数值连续性.目前已有一种隐式插值方法,针对二维流体非协调网格问题建立了模型.该文将此方法向三维进一步拓展,提出了一种高效的三维流体非协调网格隐式插值方法,通过对代数方程中的未知量施加Dirichlet条件、对系数矩阵和右端项施加Neumann条件,将非协调子域的耦合嵌入代数方程中.该文采用提出的三维隐式插值方法模拟了三维泊肃叶流、三维方腔顶盖驱动流,验证了该方法的准确性、高效性,通过三维三棱柱绕流模拟证明了该方法对于解决三维非协调网格问题具有普适性.
Abstract
Non-conforming meshes are often used to deal with moving boundaries and local mesh refinement.The key is to ensure numerical continuity between non-conforming subdomains.Previous studies have proposed an implicit interpolation method to model the two-dimensional fluid non-conforming meshes problem,but it needs to be further extended to the three-dimensional problem.Therefore,an efficient 3D fluid non-conforming grid implicit interpolation method is proposed.By applying the Dirichlet condition to the unknowns in the algebraic equations and the Neumann condition to the system matrix and the right-hand term,the coupling of the non-conforming subdomain is embedded in the algebraic equation.The proposed three-dimensional implicit interpolation method is used to simulate the three-dimensional Poiseuille flow and the three-dimensional lid-driven cavity flow to verify the accuracy and efficiency of the method.Finally the general applicability for solving the three-dimensional non-conforming meshes problem is proved by the simulation of flow past a three-dimensional triangular prism.
关键词
非协调网格/隐式插值/三维流体/计算流体力学/代数方程Key words
Non-conforming meshes/Implicit interpolation/Three-dimensional flow/Computational fluid dynamics/Algebraic equation引用本文复制引用
出版年
2024
NETL
NSTL
万方数据