Abstract
A new boundary integral technique is developed for the two-dimensional, irrotational, incompressible fluid flow in complex geometries and the method is applied to the generation of an orthogonal grid system which can be used for solving laminar and turbulent fluid flows in the same 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 obtained on the boundary of the solution domain in the physical plane. An iterative procedure is developed to solve the integral-differential equations in order to obtain the potential flow solution. To illustrate the grid generation technique several classical two-dimensional CFD problems have been investigated and the method has been extended to generate a less distorted grid system for a three-dimensional fluid flow.
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