1. An Efficient Technique to Treat Singularities when Applying BEM with Quadratic Boundary Elements to the Problem of Compressible Fluid Flow.
- Author
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Vladimirescu, Ion and Grecu, Luminita
- Subjects
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FLUID dynamics , *BOUNDARY value problems , *INTEGRAL equations , *KERNEL functions , *NUMERICAL analysis - Abstract
This paper is focused on solving the problem of the 2D compressible subsonic fluid flow around an obstacle using BEM with higher order boundary elements, with special consideration regarding to the treatment of singulatities. The 2D problem of a compressible fluid flow around an obstacle is equivalent with a singular boundary integral, obtained in terms of primary variables of the problem, the components of the velocity field. This singular boundary integral equation is solved by using quadratic isoparametric boundary elements. The problem is finally reduced to a linear system of equations. Aspects regarding the evaluation of the matrix coefficients are presented and a special attention is given to the treatment of integrals of singular kernels. A method based on the definition of the Cauchy Principal Value of an integral is developed. The method described is implemented into a computer code made in MathCAD and numerical results are obtained for different types of obstacles. We validate the computer through an analytical checking, made by comparing the numerical results with the exact solutions that exist in some particular cases, which are in very good agreement. [ABSTRACT FROM AUTHOR]
- Published
- 2009