计算力学学报2012，Vol.29Issue(2)：217-223,235,8.
基于非结构网格的高效求解方法研究
Efficient solution of Euler/N-S equations on unstructured grids
摘要
Abstract
The implicit time integration method has been investigated to be an efficient approach for solving Euler/Navier-Stokes（N-S） equations.The resulting linear equations are typically large,sparse,nonsymmetric,and ill-conditioned.In general,the linear equations are approximately solved through LU-SGS,symmetric Gauss-Seidel and GMRES algorithms,etc.Compared to the structured grid,the order of unstructured grid is irregular,which significantly affects the computational efficiency.In the traditional efficiency analysis,the effect of spatial efficiency has been hardly considered.The different calculations and comparisons were presented in the paper.If the memory requirement is accomplished,GMRES algorithm is efficient.But the calculation of SA turbulence model in N-S equations affects the rate of the convergence.If the spatial discretization is efficient,the symmetric Gauss-Seidel with inner iterations is performed well.It is a better choice for the large-scale calculations,especially for viscous flow.关键词
Euler/N-S方程/隐式/效率/Gauss-Seidel/GMRESKey words
Euler/N-S equations/implicit integration/efficiency/Gauss-Seidel/GMRES分类
数理科学引用本文复制引用
蒋跃文,叶正寅,王刚..基于非结构网格的高效求解方法研究[J].计算力学学报,2012,29(2):217-223,235,8.基金项目
博士论文创新基金 （）
国家自然科学基金（11072199 10802067）资助项目 （）
