| 可压缩Navier-Stokes方程的压力梯度局部投影间断有限元法 |
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| 引用本文： | 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[J]. 应用数学和力学, 2008, 29(2): 157-168. DOI: 10.3879/j.issn.1000-0887.2008.02.005 |
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| 作者姓名： | 骆艳 冯民富 |
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| 作者单位： | 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 |
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| 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．
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| 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 |
| 文章编号： | 1000-0887（2008）02-0157-12 |
| 收稿时间： | 2007-06-28 |
| 修稿时间： | 2008-01-03 |
Discontinuous Element Pressure Gradient Stabilizations for the Compressible Navier-Stokes Equations Based on Local Projections |
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| LUO Yan,FENG Min-fu. Discontinuous Element Pressure Gradient Stabilizations for the Compressible Navier-Stokes Equations Based on Local Projections[J]. Applied Mathematics and Mechanics, 2008, 29(2): 157-168. DOI: 10.3879/j.issn.1000-0887.2008.02.005 |
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| Authors: | LUO Yan FENG Min-fu |
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| Affiliation: | School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, P. R. China; |
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| 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. |
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| Keywords: | discontinuous finite element methods pressure gradient projection methods compressible Navier-Stokes equations error estimation |
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