摘要
作者针对非定常瞬态Navier-Stokes问题提出了一种新的非协调子格粘性法.利用Park元具有较低自由度和保证最优收敛阶不被降低的优点,作者将子格粘性法和压力投影相结合,建立了一个新的全离散子格粘性有限元格式,并在高雷诺数情况下证明了解的稳定性,得到了与雷诺数无关的最优误差估计.
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 .
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第6期1149-1161,共13页
Journal of Sichuan University(Natural Science Edition)
基金
国家自然科学基金(11271273)
