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配置点谱方法-人工压缩法(SCM-ACM)求解不可压缩流体流动

牟永强 郝建超 张敬奎 董华 林欢

计算力学学报2018,Vol.35Issue(3):304-309,6.
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

牟永强 1郝建超 1张敬奎 1董华 1林欢1

作者信息

  • 1. 青岛理工大学环境与市政工程学院,青岛 266033
  • 折叠

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)

计算力学学报

OA北大核心CSCDCSTPCD

1007-4708

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