首页 | 本学科首页   官方微博 | 高级检索  
     


A new velocity–vorticity boundary integral formulation for Navier–Stokes equations
Authors:Rabha Machane,Jean‐Luc Achard,É  douard Canot
Abstract:In the present work, an indirect boundary integral method for the numerical solution of Navier–Stokes equations formulated in velocity–vorticity dependent variables is proposed. This wholly integral approach, based on Helmholtz's decomposition, deals directly with the vorticity field and gives emphasis to the establishment of appropriate boundary conditions for the vorticity transport equation. The coupling between the vorticity and the vortical velocity fields is expressed by an iterative procedure. The present analysis shows the usefulness of an integral formulation not only in providing a potentially more efficient computational tool, but also in giving a better understanding to the physics of the phenomenon. Copyright © 2000 John Wiley & Sons, Ltd.
Keywords:boundary element method  Green's function  Helmholtz's decomposition  integral equation  Navier–  Stokes equations  velocity–  vorticity formulation
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号