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One of the methods for solving Navier-Stokes equations in order to analyse aerodynamic flows is using finite volume method. Since aerodynamic flows are mostly in the range of compressible flows, here one of the density based algorithm (CUSP) have been studied to connecting equations. So here by adding LD (Low diffusion) part to the CUSP method a new method LDE (Low diffusion E-CUSP) have been created which containing new improved discretizations and it has been extended for a unstructured two dimensional mesh. Because of using edge-based data structure it gives the ability to solve the unstructured and structured meshes. Also the discretization of time section is done explicitly by Runge-Kutta method. It has acceptable stability range in compare with the amount of calculation utilized. Then, the results of new improved method (LDE) have been studied for a unstructured 2d mesh and compared with old method which it has been improved for unstructured mesh. The results show that the convergence time and the number of iterations to reach desired error are reduced. Also error percentage of numerical results like pressure coefficient is reduced. Moreover, dissipation of this new method does better than first method in terms of capturing shock location in a proper way.

Keywords: Inviscid 2D Flow, CUSP2011Method (Low Diffusion E-CUSP or LDE), CUSP1995 Method, Unstructured and structured edge-based grid, Compressible flow

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