数学与系统科学研究院

计算数学所学术报告:

报告人：           Dr. Abdur Rahshid   

Department of Mathematics, Gomal University, Parkistan

报告题目: Convergence Analysis of Pseudospectral Method with Restraint Operator for Fluid Flow with Low Mach Number

Abstract: In the recent years, Spectral and Pseudospectral methods have become very popular with their application to computational fluid dynamics. In particular Pseudospectral methods are widely used because they can be more efficiently implemented than Spectral methods. But some times Pseudospectral methods have nonlinear instability, especially for the flows with low Mach number, so some filtering or smoothing techniques were proposed to remedy this deficiency. To implement the Pseudospectral method correctly we take nonlinear Partial differential equations of computational fluid dynamics " Fluid Flow with Low Mach Number" as modal. A three-Level Fourier Pseudospectral method with a Restraint Operator R is developed with a periodic boundary condition. We prove the generalized stability and convergence of the proposed scheme. Numerical results will be presented.

报告时间：2003年9月4日 上午9：00-10：00

报告地点：科技综合楼三层报告厅