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Abstract
Grid generation technique is one of the most important numerical methods. It has been applied to many problems in computational fluid dynamics, including aerodynamics, tidal and estuary flow, plasma physics, electromagnetic, and structures.
In this thesis, we determine a numerical solution of the incompressible Navier Stokes equations for the fluid flow inside complex geometries by using grid generation techniques.
This thesis consists of five chapters, besides the introduction and the list of references
In Chapter 1, we give the various relations and definitions of the transformations in the logical plane. Also, we consider briefly the fundamental equations of fluid motion and their transformations by using boundary fitted coordinate system.
In Chapter 2, we study the classification of linear Partial differential equations and corresponding finite difference equations. Also we introduce the solution algorithms for solving these difference equations and apply the alternative direction implicit (ADI) method to Poisson equation as a model of governing equations of fluid motion. The main results of this chapter accepted for publication (see [19]).