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Thesis

Spanish

ID: <

http://hdl.handle.net/10251/129534

>

Where these data come from
Resolución de ecuaciones de convección-difusión en 2D usando el método de las diferencias finitas compactas

Abstract

[EN] For the numerical calculation of partial diferential equations, several methods have been developed over the years. The compact nite di erences (CFD, Lele 1990) arise as an update of the nite di erences and interpolating Padé schemes. By using molecules in the derivative and in the function, formulas for solving equations in partial derivatives of very high order with relatively few points and in the form of dispersed matrices are achieved. On the other hand, in engineering, for the study of aerodynamics around solid objects, wind tunnels have been used for more than 100 years, with this great advances have been achieved in aerodynamics and aeronautical engineering disciplines but to often limited by the volume of the tunnel and the speed of the air that could be delivered, in addition to the cost involved in the construction of a tunnel of adequate size to the size of the solid and the model to be analyzed. This project is related to a code under development at IUMPA that aims to perform direct numerical simulations of virtual wind tunnel objects using the Inmerse Boundary Conditions technique. This requires extremely reliable and fast computational techniques. Although the CFD method has been widely used in 1D problems, it has not been used in 2D for reasons of over or under determination in the coe cients of two-dimensional molecules. In this TFM we propose the possibility of 3D problems through the combined use of CFD in two directions and together with a Fourier method in the third, in order to recreate the resolution method discussed above. TFGM

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