THE GENERATION OF AN ORTHOGONAL GRID BY THE USE OF A BOUNDARY INTEGRAL TECHNIQUE

A new boundary integral technique is developed for the two-dimensional , irrotational, incompressible fluid flow in complex geometries and th e method is applied to the generation of an orthogonal grid system whi ch can be used for solving laminar and turbulent fluid flows in the sa me geometries. The integral equation for the potential flow is derived from the Dirichlet boundary problem for an analytical function on the upper half plane, and then the integral-differential equations are ob tained on the boundary of the solution domain in the physical plane. A n iterative procedure is developed to solve the integral-differential equations in order to obtain the potential flow solution. To illustrat e the grid generation technique several classical two-dimensional CFD problems have been investigated and the method has been extended to ge nerate a less distorted grid system for a three-dimensional fluid flow . (C) 1998 Elsevier Science Ltd. All rights reserved.