四川大学学报(自然科学版)Issue(6):1149-1161,13.DOI:10.3969/j.issn.0490-6756.2013.06.001
非定常瞬态 N-S 方程基于压力投影的非协调子格粘性稳定化方法
A stabilized nonconforming subgrid eddy viscosity method based on pressure projection for the unstationary transient Navier-Stokes equations
摘要
Abstract
In this paper ,the authors propose a new nonconforming subgrid eddy viscosity method for the unstationary transient Navier-Stokes problem .By utilizing Park element’s property which has the lower degrees of freedom and guarantees the optimal order of convergence ,combining the subgrid eddy viscosi-ty method and pressure projection ,establish a new full discrete subgride eddy viscosity finite element model and prove the stability on the condition of high Reynolds number .And optimal error approxima-tion is obtained w here the constants do not depend on the Reynolds number .关键词
Navier-Stokes问题/子格粘性法/Park元/自由度/最优收敛阶/高雷诺数Key words
Navier-Stokes problem/subgrid eddy viscosity method/Park element/degrees of freedom/optimal order of convergence/high Reynolds number分类
数理科学引用本文复制引用
曹川,李芹..非定常瞬态 N-S 方程基于压力投影的非协调子格粘性稳定化方法[J].四川大学学报(自然科学版),2013,(6):1149-1161,13.基金项目
国家自然科学基金 ()