Desingularized boundary integral equation methods (DBIEM) and their applications in water wave dynamics and body motion dynamics over the past 30 years are reviewed. In solving the potential flow problem for wave dynamics, unlike conventional boundary integral methods, a DBIEM separates the integration surface and the control (collocation) surface, resulting in a BIE with non-singular kernels. The desingularization allows simpler and faster numerical evaluation of the boundary integrals, and thus a fast numerical solution. The paper reviews the fundamental aspects and advantages of DBIEMs. Examples of applications of DBIEMs in wave dynamics and body motion dynamics are given and the outlook of future DBIEMs development is discussed.
- Ocean, Offshore and Arctic Engineering Division
Desingularized Boundary Integral Methods With Application in Wave Hydrodynamics
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Cao, Y, & Beck, RF. "Desingularized Boundary Integral Methods With Application in Wave Hydrodynamics." Proceedings of the ASME 2015 34th International Conference on Ocean, Offshore and Arctic Engineering. Volume 11: Prof. Robert F. Beck Honoring Symposium on Marine Hydrodynamics. St. John’s, Newfoundland, Canada. May 31–June 5, 2015. V011T12A023. ASME. https://doi.org/10.1115/OMAE2015-41694
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