| 发展型Navier-Stokes方程基于压力稳定化方法的谱逼近格式 |
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| 引用本文： | 何松年,杨彩萍. 发展型Navier-Stokes方程基于压力稳定化方法的谱逼近格式[J]. 数学研究及应用, 1999, 19(1): 25-36 |
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| 作者姓名： | 何松年 杨彩萍 |
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| 作者单位： | 中国民航学院基础科学部,天津,300300 |
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| 摘 要： | 本文采用压力稳定化方法近似模拟不可压缩条件，进而构造了发展型非周期NavierStokes方程的全离散Legendre谱逼近计算格式，严格分析了格式的广义稳定性与收敛性．本文建立的逼近结果也适用其它非周期问题．
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| 关 键 词： | N－S方程 压力稳定化法 谱逼近格式 |
| 收稿时间： | 1996-04-03 |
Spectral Approximation Based on the Pressure Stabilization Mathod for Unsteady Navier-Stokes Equations |
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| He Songnian and Yang Caiping. Spectral Approximation Based on the Pressure Stabilization Mathod for Unsteady Navier-Stokes Equations[J]. Journal of Mathematical Research with Applications, 1999, 19(1): 25-36 |
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| Authors: | He Songnian and Yang Caiping |
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| Affiliation: | Dept. of Basic Courses. Civil Aviation Inst. of China. Tianjin 300300;Dept. of Basic Courses. Civil Aviation Inst. of China. Tianjin 300300 |
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| Abstract: | A Legendre spectral approximation based on the pressure stabilization method for non-periodic, unsteady Navier-Stokes equations is considered. The generalized stability and the convergence are proved strictly. The approximation results in this paper are also useful for other non-linear problems. |
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| Keywords: | Legendre spectral approximation pressure stabilization method NavierStokes equation. |
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