WIT Press


An Alternative Approach To Integral Equation Method Based On Treftz Solution For Inviscid Incompressible Flow

Price

Free (open access)

Volume

18

Pages

12

Published

1998

Size

851 kb

Paper DOI

10.2495/AFM980061

Copyright

WIT Press

Author(s)

Antonio C. Mendes & Jose C. Pascoa

Abstract

The paper deals with the numerical modelling of inviscid, incompressible flow about two-dimensional lifting surfaces at low speed. The problem is formulated in terms of the Laplace equation. For its solution two different approaches are discussed. The first one tackles the problem in terms of the velocity potential with normal derivative prescribed at the boundary. An integral equation method based on a distribution of vortices is utilised to solve the flow. As for the second approach the governing equation is written in terms of the stream function. Treftz method is then used to express the solution as a power series of the fundamental solutions of L

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