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A solution with cubic boundary elements for the compressible fluid flow around obstacles

Luminiţa Grecu

Author Affiliations

Department of Applied Mathematics, University of Craiova, Craiova, Romania

Boundary Value Problems 2013, 2013:78  doi:10.1186/1687-2770-2013-78

Published: 8 April 2013


The paper presents a solution of the problem of the 2D compressible fluid flow around obstacles, based on the boundary element method in which the singular boundary integral equation is solved with cubic boundary elements. In this approach the singular boundary integral with sources distribution is considered. The numerical method is implemented into a computer code developed under Mathcad, and numerical solutions for some particular cases are obtained. Numerical solutions are compared with analytical ones for cases when the latter exist. A good agreement between them can be observed even when the number of nodes chosen for the boundary discretization is quite small, the fact that shows the great efficiency of the exposed method.

MSC: 65N38, 76M15, 76G25, 35Q35.

boundary element method; cubic boundary element; singular boundary integral equation; compressible fluid flow