Author(s)

A.M. Giroux & B. Masse

Abstract

Three-dimensional analysis of potential flows using the boundary element method A.-M. Giroux, B. Masse IREQ (Institut de Recherche d'Hydro- Quebec), 1800 rnontee Sainte- Julie, Varennes, Quebec ABSTRACT In this paper, the boundary element method is applied to three-dimensional potential-flow problems. Linear triangular elements are used and the sur- face integrals are evaluated using an analytical form for the first integration and a numerical quadrature for the second. The velocities are calculated using the dual reciprocity method in the post processing phase of the solution. An approximation function with the corresponding particular solution is pro- posed. Numerical examples are presented for different fluid-flow problems to assess the effectiveness of the approach. INTRODUCTION Three-dimensional potential-flow problems have been solved in the past using the boundary element method. The formulation is generally made in terms of velocity potential functions and the velocities a

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