可压缩Navier-Stokes方程的压力梯度局部投影间断有限元法

骆艳; 冯民富

可压缩Navier-Stokes方程的压力梯度局部投影间断有限元法

骆艳¹,
冯民富^1,2

电子科技大学应用数学学院,成都 610054;2.四川大学数学学院,成都 610064

基金项目: 四川省科技攻关课题资助项目(05GG006-006-2)

详细信息

作者简介:
骆艳(1980- ),女,四川人,硕士;冯民富(1964- ),男,四川人,教授,博士(联系人.E-mail:fmf@wtjs.cn).

中图分类号: O242.21
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出版历程
- 收稿日期: 2007-06-28
- 修回日期: 2008-01-03
- 刊出日期: 2008-02-15

Discontinuous Element Pressure Gradient Stabilizations for the Compressible Navier-Stokes Equations Based on Local Projections

LUO Yan¹,
FENG Min-fu^1,2

School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, P. R. China;

摘要

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．
- 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
Abstract: 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.
- discontinuous finite element methods /
- pressure gradient projection methods /
- compressible Navier-Stokes equations /
- error estimation

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参考文献(28)

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