WIT Press


A Boundary Integral Technique For Two- Dimensional Potential Flows

Price

Free (open access)

Paper DOI

10.2495/BE960541

Volume

14

Pages

10

Published

1996

Size

781 kb

Author(s)

X. Wen & D.B.Ingham

Abstract

A boundary integral technique is developed for the steady two-dimensional, irrotational, incompressible fluid flow in complex geometries. Using the Dirichlet boundary problem for an analytical function on the upper half plane gives rise to integral-differential equations on the boundary of the solution domain in the physical plane. The boundary integral equation is discretized and an iterative procedure is developed to solve the resulting algebraic equations. This method is different to the conventional boundary element method, which requires the inversion of a large system of linear algebraic equations, in that it requires much less computer memory and computing time. Two examples of the technique are presented. 1 Introduction The mathematical formulation of many problems in engineering and physics naturally gives rise to a boundary value probl

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