Infinite elements for water wave radiation and scattering

✍ Scribed by H. S. Chen

• Publisher: John Wiley and Sons
• Year: 1990
• Tongue: English
• Weight: 586 KB
• Volume: 11
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/fld.1650110507

✦ Synopsis

The infinite element method is employed to approximate the solutions of Webster's horn equation and Berkhoffs equation for water wave radiation and scattering in an unbounded domain. Functionals based on the first variational principle are presented. Two new infinite elements, which exactly satisfy the one-and two-dimensional Sommerfeld radiation condition, are presented; the simple shape functions are constructed on the basis of the asymptotic behaviour of the scattered wave at infinity. All the integrals in the functionals involving each infinite element are integrated analytically and, as a result, no numerical integration is required. The programming requirements and computational efficiency are essentially no different than those of the conventional finite element method. For the test cases presented, the numerical results are acceptably accurate when compared with the existing solutions and laboratory data. KEY WORDS Infinite element Unbounded domain Radiation condition Wave radiation Scattering * OPC Contribution No. 27.

This paper was prepared under the auspices of the US government and is therefore not subject to copyright.