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Abstract
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This project presents a platform of how to create an efficient grid over an airfoil by comparing different grid generation techniques. Here two grid generation methods such as algebraic grid generation method and elliptic grid generation method were chosen.The algebraic equation is used to relate the grid point in the computational domain to those of the physical domain. This is achieved by using hyperbolic tangent scheme between the specified boundary grid points to generate the interior grid points. The second method highlights the solution for a system of elliptic equations in the form of Laplace’s and Poisson’s equations in the physical domain with the help of Point Successive over Relaxation (PSOR) method. These two methods reveal the process of generating as well as communicate benefits draw backs to both algebraic and elliptic methods. In the course of grid generation, the magnitudes of the required control functions might be very large in a region where clustering grids are needed. On the other hand, there are subtle differences between the algebraic grid and elliptic generator one without control function. Based on this, implementation of the Vincour function has no effect on the orthogonality of grid system, while it makes the same system more clustered. We will also demonstrate that solving of the Poisson equation will result in a more coherent grid, based on orthogonality and clustering of the grid system.
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