计算力学学报2018,Vol.35Issue(3):304-309,6.DOI:10.7511/jslx20161229002
配置点谱方法-人工压缩法(SCM-ACM)求解不可压缩流体流动
The spectral collocation method-artificial compressibility method(SCM-ACM)for solving incompressible fluid flow
摘要
Abstract
The combined method spectral collocation method(SCM)and the artificial compressibility method(ACM)is developed in this work for solving incompressible viscous flow problems.The classical case of lid-driven cavity flow in a square cavity is selected to test the method.First of all,artificial compressibility governing equations are given.Secondly,the spatial partial differential terms of the governing equations are discretised by the SCM,and then,the algebraic equations in matrix form are obtained.Lastly,the validation of SCM-ACM code is made.The results show that the SCM-ACM can solve the problem of incompressible flow effectively,and it inherits the exponential convergence of the spectral method and has the characteristics of being simple and easy to implement derived from the ACM.关键词
SCM-ACM/配置点谱方法/人工压缩法/顶盖驱动流/不可压缩流动Key words
SCM-ACM/spectral collocation method/artificial compressibility method/lid-driven cavity flow/incompressible flow分类
数理科学引用本文复制引用
牟永强,郝建超,张敬奎,董华,林欢..配置点谱方法-人工压缩法(SCM-ACM)求解不可压缩流体流动[J].计算力学学报,2018,35(3):304-309,6.基金项目
国家自然科学基金(11402180)资助项目. (11402180)