四川大学学报（自然科学版）2012，Vol.49Issue(1)：37-45,9.DOI:10.3969/j.issn.0490-6756.2012.01.006
Navier-Stokes方程基于H(div)型有限元的涡旋黏性法
Eddy viscosity methods based on H(div)elements for the Navier-Stokes equations
摘要
Abstract
In this paper,the authors present a new stabilized finite element formulation for the incompressible Navier-Stokes equations. This formulation combines eddy viscosity methods with H(div) finite element approximation, for example RT and BDM finite element. This method not only satisfies the conservation condition, but also overcome the convection dominated using eddy viscous term. Then the authors prove the existence and uniqueness of finite element solver, give the error estimates and discuss applications of H(div) finite element.关键词
H(div)型有限元/涡旋黏性法/Navier-Stokes方程/守恒性条件Key words
Navier-Stokes equations/H(div) elements/eddy viscosity/conservation condition分类
数理科学引用本文复制引用
唐金波,冯民富..Navier-Stokes方程基于H(div)型有限元的涡旋黏性法[J].四川大学学报（自然科学版）,2012,49(1):37-45,9.
