应用广义Laguerre函数的Navier-Stokes方程外部问题混合谱方法

基金项目: 国家自然科学基金资助项目(10871131);上海市科委科技攻关资助项目(075105118);上海市重点学科建设资助项目(S30405);上海高校E-研究院基金资助(E03004)

Mixed Spectral Method for Exterior Problem of Navier-Stokes Equations by Using Generalized Laguerre Functions

Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China;

摘要: 研究应用广义Laguerre函数的四阶非线性偏微分方程外部问题混合谱方法．构造了圆外Navier-Stokes方程流函数形式的混合谱方法,数值结果显示了该方法在空间方向的谱精度．
- 谱方法 /
- 四阶外部问题 /
- Navier-Stokes方程
Abstract: The mixed spectral method using generalized Laguerre functions for exterior problems of partial differential equations of fourth order was investigated. A mixed spectral scheme was provided for the stream function form of the Navier-Stokes equations outside a disc. Numerical results demonstrate the spectral accuracy in space.
- spectral method /
- exterior problems of fourth order /
- Navier-Stokes equations

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