A solution method for two-dimensional potential flow about bodies with smooth surfaces by direct use of the boundary integral equation
✍ Scribed by Yang, S. A.
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 123 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1069-8299
No coin nor oath required. For personal study only.
✦ Synopsis
This work presents a novel boundary integral method to treat the two-dimensional potential ¯ow due to a moving body with the Lyapunov surface. The singular integral equations are derived in singularity-free form by applying the Gauss ¯ux theorem and the property of the equipotential body. The modi®ed formulations are amenable to computation by directly using quadrature formulae. Instead of the conventional boundary element approach, the boundary surface is initially expressed in a parametric form. Further, applying the double exponential formula and the cubic spline method yield the corresponding geometrical coecients which are involved in parametric form. For illustration, the ¯ow ®eld induced by a translating ellipse is examined. Numerical calculations indicate that the proposed method is more ecient than the ¯at-element constant-source boundary element method.