An algorithm for velocity calculation in close proximity to body surfaces in panel methods

Abstract

To model incompressible flow over a body of arbitrary geometry when using vortex methods, it is necessary to construct an irrotational field to impose the impermeability condition at the surface of the object. In order to achieve this impermeability, this paper uses a boundary integral equation based on the single-layer representation for the velocity potential. Specifically, we formulate this exterior Neumann problem in terms of a source/sink boundary integral equation. The solution to this integral equation is then coupled with an interpolation procedure which smoothes the transition between near-wall and interior regimes. We describe the numerical scheme embedding this strategy and discuss its accuracy and efficiency. For validation purposes, we consider the potential and vortical flow over a circular cylinder, for which an analytical solution and the commonly used method of images are available.

Keywords:

• Boundary element method
• Impermeability condition
• Discrete vortex method

C.R. Categories:

• G.1.0
• G.1.9

Tel:[phone], Fax: [phone]. [email protected]

Tel:[phone], Fax: [phone]. [email protected]

Notes

Tel:[phone], Fax: [phone]. [email protected]