Solution of Helmholtz equation by Trefftz method

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1991 China (People's Republic of) English Publisher:WileyJournal:International Journal for Numerical Methods in Engineering, volume 32, pages 63-78 (issn: 0029-5981, eissn: 1097-0207,

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Authors: Cheung, YK; Jin, WG; Zienkiewicz, OC;

doi: 10.1002/nme.1620320105

handle: 10722/149965

Solution of Helmholtz equation by Trefftz method

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Abstract

AbstractThe application of the Trefftz method for calculating wave forces on offshore structures is presented. Indirect and direct formulations using complete and non‐singular systems of Trefftz functions for the Helmholtz equation are posed in this paper. An effective technique using different interpolation functions for the velocity potential and wave force are suggested to improve the computational accuracy of the wave force. The numerical examples show that the present method is highly efficient and accurate.

Country

China (People's Republic of)

Related Organizations

University of Wales
United Kingdom
Swansea University
United Kingdom
University of Hong Kong (香港大學)
China (People's Republic of)
University of Hong Kong
China (People's Republic of)

Keywords

Variational methods applied to problems in fluid mechanics, Hydrology, hydrography, oceanography, Trefftz functions, Water waves, gravity waves; dispersion and scattering, nonlinear interaction, velocity potential, wave forces, offshore structures, interpolation functions

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