| 非定常半周期Stokes问题的数值离散 |
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| 引用本文： | 裘国永,张麦侠.非定常半周期Stokes问题的数值离散[J].西安石油大学学报(自然科学版),2001,16(2):69-72. |
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| 作者姓名： | 裘国永 张麦侠 |
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| 作者单位： | 陕西师范大学计算机系, |
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| 摘 要： | 研究了三维非定常半周期 Stokes方程的数值离散 .对周期方向引入 Fourier谱方法 ,而对非周期方向引入 Legendre谱方法 ;时间离散使用向后 Euler格式 ,对由此而得的全离散向后欧拉Fourier- Legendre联合谱方法 ,证明了格式的稳定性和收敛性 .
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| 关 键 词： | 数值离散 Fourier-Legendre联合谱方法 向后Euler格式 稳定性 收敛性 |
| 文章编号： | 1001-5361(2001)02-0069-04 |
| 修稿时间： | 2000年7月10日 |
Numerical Discretization of 3-D Unsteady Periodic-Nonperiodic Stokes Equations |
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| QIU Guo-yong,ZHANG Mai-xia.Numerical Discretization of 3-D Unsteady Periodic-Nonperiodic Stokes Equations[J].Journal of Xian Shiyou University,2001,16(2):69-72. |
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| Authors: | QIU Guo-yong ZHANG Mai-xia |
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| Abstract: | The numerical discretization method of the equations was studied.Fourier spectral method and Legendre spectral method were used for periodic directions and nonperiodic direction separately,and Backward Euler scheme was used for time discretization. This method is known as full-discrete backward-Euler Fourier-Legendre combined spectral method. Finally the stability and convengence of the method were proven. |
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| Keywords: | numerical discretization Fourier-Legendre combined spectral method backward-Euler scheme stability convergence |
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