摘要
将压力梯度投影与间断有限元法相结合,对可压缩线性化N-S方程提出了一种稳定化间断有限元格式.证明了此格式在速度和压力有限元空间无需满足B-B型条件的情况下,解的存在性和唯一性,以及相应的误差估计.
A pressure gradient discontinuous finite element formulation for the compressible Navier-Stokes equations based on local projections was derived. The resulting finite element formulation is stable and uniquely solvable without requiring a B-B stability condition. An error estimate was obtained.
出处
《应用数学和力学》
CSCD
北大核心
2008年第2期157-168,共12页
Applied Mathematics and Mechanics
基金
四川省科技攻关课题资助项目(05GG006-006-2)
关键词
间断Galerkin有限元法
压力梯度投影
可压缩的N—S问题
误差估计
discontinuous finite element methods
pressure gradient projection methods
compressible Navier-Stokes equations
error estimation
