| NUMERICAL STUDY FOR NONLINEAR EVOLUTION OF VORTEX SHEET AND ITS APPLICATIONS: PART I. APPROACH AND PERIODICAL EVOLUTION OF VORTEX SHEET |
| |
| 作者姓名： | Wang Xun ye Lu Xi yun Zhuang Li xian |
| |
| 作者单位： | Wang Xun ye，Lu Xi yun，Zhuang Li xian Department of Modern Mechanics，University of Science and Technology of China，Hefei 230026，P.R.China Zhu Ke qin Department of Engineering Mechanics，Tsinghua University，Beijing 100084，P.R.China |
| |
| 基金项目： | Project supported by the National Natural Science Foundation of China.(No.
1 93 72 0 60 ) |
| |
| 摘 要： | 1. INTRODUCTIONThevortexsheetisaninviscidmodelofaparallelshearflowinwhichthethicknessofthetransitionregionbetweenthetwostreamsissmallcomparedwithatypicalstreamwiselengthscale.Someworkhasbeendonetoinvestigatethevortexsheetevolutionusuallybyusingtwoapproaches.Oneistousesimpleandhigh-orderaccuratenumericalmethodstosolvetheNavier-Stokesequations,andtheotheroneisbasedontheKelvin-Helmholtzinstabilitytheoryandstudiestheinstabilityandevolutionofaninfinitetwo-dimensionalstraightvortexsheetofcons…
|
NUMERICAL STUDY FOR NONLINEAR EVOLUTION OF VORTEX SHEET AND ITS APPLICATIONS: PART I. APPROACH AND PERIODICAL EVOLUTION OF VORTEX SHEET |
| |
| Wang Xun ye,Lu Xi yun,Zhuang Li xian.NUMERICAL STUDY FOR NONLINEAR EVOLUTION OF VORTEX SHEET AND ITS APPLICATIONS: PART I. APPROACH AND PERIODICAL EVOLUTION OF VORTEX SHEET[J].Journal of Hydrodynamics,2000,12(2). |
| |
| Authors: | Wang Xun-ye Lu Xi-yun Zhuang Li-xian Zhu Ke-qin |
| |
| Abstract: | The superconvergence of Multhopp's discretization for the solution to the normal wash integral equation for the flow past a curved plate is theoretically analyzed and numerically examined. It has been inferred that the Multhopp's discretization also has a superconvergence behavior in simulating the vortex sheet evolution. Further, an improved Multhopp's method is suggested and applied to the numerical simulation of a periodical evolution of a flat vortex sheet. To validate the results obained by the inviscid vortex method, the initial-value problem for the development of a shear layer at large Reynolds number is numerically investigated by solving the two-dimensional incompressible Navier-Stokes equations. |
| |
| Keywords: | superconvergence vortex sheet vortex method |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
