计算力学学报Issue(6)：775-780,6.DOI:10.7511/jslx201406015
一种投影浸入边界法的快速直接求解方法
A rapid solution method for proj ected immersed boundary method
摘要
Abstract
According to the solving step of proj ected immersed boundary method,after the Poisson equa-tion is discretized,due to the no singularity and the asymmetry of the large sparse linear equation set,the open function library UMFPACK is used for fast solving.When transferring the coefficient matrix and the right end vector,the function library Eigen to optimize the data structure is adapted,which decreases the storage space,finally realize the fast solving and meantime keep the robustness.Firstly,the reliability of solving the pressure Poisson equation is validated by the basic numerical example.Then,according to the numerical method,the corresponding numerical computational program is written by C + +language.The reliability of solving the governing equation of proj ection immersed boundary method is validated by the basic numerical example of flow over circular cylinder compared with results of other lit-eratures.Finally,the distributions of streamline and the vortex structures are analyzed in different Reyn-olds numbers.关键词
流固耦合/投影浸入边界法/压力泊松方程/数值模拟/圆柱绕流Key words
fluid-structure interaction/proj ected immersed boundary method/pressure Poisson equation/numerical simulation/flow over circular cylinder分类
建筑与水利引用本文复制引用
王文全,李伟忠,闫妍,梁林..一种投影浸入边界法的快速直接求解方法[J].计算力学学报,2014,(6):775-780,6.基金项目
国家自然科学基金(11262008,11002063)资助项目 （11262008,11002063）
