| N—S方程的非线性Galerkin算法的稳定性 |
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| 引用本文： | 何银年,黄庆怀.N—S方程的非线性Galerkin算法的稳定性[J].西安交通大学学报,1997,31(2):113-120. |
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| 作者姓名： | 何银年 黄庆怀 |
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| 作者单位： | 西安交通大学 |
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| 基金项目： | 西安交通大学科研基金,攀登计划资助 |
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| 摘 要： | 提出了求解二维非定常Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ（Ｎ－Ｓ）方程的３种全离散非线性Ｇａｌｅｒｋｉｎ算法，其中空间离散由谱元非线性Ｇａｌｅｒｋｉｎ算法进行，时间离散分别由Ｅｕ－ｌｅｒ法，修正的Ｇｒａｎｋ－Ｎｉｃｏｌｓｏｎ法和两步法进行．此外还分析了这些算法的有界性和稳定性，并给了时间步长的约束条件
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| 关 键 词： | N－S方程 稳定性 非线性Galerkin算法 |
On Stability of the Nonlinear Galerkin Methods for the Navier Stokes Equations |
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| He,Yinnian,Huang,Qinghuai.On Stability of the Nonlinear Galerkin Methods for the Navier Stokes Equations[J].Journal of Xi'an Jiaotong University,1997,31(2):113-120. |
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| Authors: | He Yinnian Huang Qinghuai |
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| Abstract: | This paper provides three kinds of fully discrete nonlinear Galerkin methods for solving the 2 D transient Navier Stokes equations. Spatial discretization is performed by the spectral nonlinear Galerkin method and time discretizations are made by Euler method,the modified Crank-Nicolson method and two step method. Moreover, the boundedness and stability of these methods are analyzed and the time step constraint conditions is provided. |
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| Keywords: | N S equations stability nonlinear Galerkin method |
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