Boundary element method for steady 2D high‐Reynolds‐number flow

Abstract

AbstractThis paper deals with the numerical simulation of fluid dynamics using the boundary–domain integral technique (BEM). The steady 2D diffusion–convection equations are discussed and applied to solve the plane Navier‐Stokes equations. A vorticity–velocity formulation has been used. The numerical scheme was tested on the well‐known ‘driven cavity’ problem. Results for Re = 1000 and 10,000 are compared with benchmark solutions. There are also results for Re = 15,000 but they have only qualitative value. The purpose was to show the stability and robustness of the method even when the grid is relatively coarse.