Fourier伪谱方法在不可压缩平板边界层研究中的应用  

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

作　　者：李宁[1] 罗纪生[1] 

机构地区：[1]天津大学力学系,天津300072

出　　处：《航空动力学报》2007年第12期2055-2061,共7页Journal of Aerospace Power

基　　金：国家自然科学基金项目(10632050)

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.Three-dimensional incompressible boundary layer on a flat plate was studied where disturbance N-S equation was taken as governing equation. The evolution of three-di- mensional instability T-S wave 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. A coordinate transform of nonuniform meshes was applied in normal direction, fringe method was adopted as exit boundary condition and MPI method 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.

关 键 词：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) 

分 类 号：O357[理学—流体力学]