NUMERICAL STUDY FOR NONLINEAR EVOLUTION OF VORTEX SHEET AND ITS APPLICATIONS: PART I. APPROACH AND PERIODICAL EVOLUTION OF VORTEX SHEET

作     者：Wang, Xunye Lu, Xiyun Zhuang, Lixian Zhu, Keqin 

作者机构：Univ of Science and Technology of China Hefei China 

出 版 物：《Journal of Hydrodynamics》 (水动力学研究与进展B辑（英文版）)

年 卷 期：2000年第12卷第2期

页      面：1-10页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the National Natural Science Foundation of China.(No.1 93 72 0 60 ) 

主　　题：Computer simulation Convergence of numerical methods Integral equations Reynolds number Two dimensional 

摘      要：The superconvergence of Multhopp′s discretization for the solution to the normal wash integral equation for the flow past a curved plate was theoretically analyzed and numerically examined. The Multhopp′s discretization also has a superconvergence behavior in simulating the vortex sheet evolution. An improved Multhopp′s method was suggested and applied to the numerical simulation of a periodical evolution of a flat vortex sheet. To validate the results obtained by the inviscid vortex method, the initial-value problem for the development of a shear layer at large Reynolds number was numerically investigated by solving the two-dimensional incompressible Navier-Stokes equations.