Fourier伪谱方法在不可压缩平板边界层研究中的应用

李宁; 罗纪生

Fourier伪谱方法在不可压缩平板边界层研究中的应用

李宁¹,
罗纪生^1,2

1.
天津大学力学系, 天津 300072
2.
南开大学天津大学刘徽应用数学中心, 天津 300072

基金项目: 国家自然科学基金项目(10632050)

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- 被引次数: 0
出版历程
- 收稿日期: 2006-11-30
- 修回日期: 2007-05-27
- 刊出日期: 2007-12-28

Application of fourier pseudo-spectral method in the incompressible boundary layer on a flat plate

LI Ning¹,
LUO Ji-sheng^1,2

1.
Department of Mechanics, Tianjin University, Tianjin 300072, China
2.
LIU Hui Center of Applied Mathematics, Nankai University and Tianjin University, Tianjin 300072, China

摘要

摘要: 以三维不可压缩平板边界层为研究对象,扰动形式N-S方程为控制方程,从空间模式的角度,直接数值模拟了三维不稳定T-S波传播的过程.时间离散采用三阶精度混合显隐分裂格式,空间离散则结合Fourier伪谱方法及高精度紧致有限差分逼近,法向采用非等间距网格坐标变换,出口边界条件采用嵌边函数法,程序采用MPI(Message passing interface)并行方法编写.实例验证,该方法计算结果与流动稳定性分析的结果一致.
- 不可压缩边界层 /
- Fourier伪谱方法 /
- 紧致有限差分 /
- 直接数值模拟(DNS)
Abstract: Three-dimensional incompressible boundary layer on a flat plate was studied where disturbance N-Sequation was taken as governing equation.The evolution of three-dimensional instability T-Swave was simulated by spatial DNS(direct numerical simulation) in which third-order precision mixed explicit-implicit scheme was employed for temporal discretization while a method combining Fourier pseudo-spectral method with high precision compact finite difference was implemented for spatial discretization.Acoordinate transform of nonuniform meshes was applied in normal direction,fringe method was adopted as exit boundary condition and MPImethod was used in programming.Through a simple case,the results obtained by this method were tested to be in consistence with the ones obtained with stability theory.
- incompressible boundary layer /
- Fourier pseudo-spectral method /
- compact finite difference /
- DNS(direct numerical simulation)

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参考文献(12)

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