Numerical Comparison Of Two Boundary
Meshless Methods For Water Wave Problems
Author(s)
Zatianina Razafizana, Wen Chen & Zhuo-Jia Fu
Abstract
This paper focuses on numerical comparison on the singular boundary method
(SBM) and the method of fundamental solutions (MFS) for water wave
problems. These two methods are strong-form meshless boundary collocation
methods. These methods are applicable in various problems when the
fundamental solution of the governing differential equation is known. To avoid
the singularities at origin, the SBM introduces the concept of source intensity
factor and circumvents the troublesome placement of the fictitious boundary in
the MFS. Numerical results show the efficiency, stability and convergence of the
SBM and the MFS through some benchmark examples under two-dimensional
semi-infinite harbor problems.
Keywords: singular boundary method, method of fundamental solutions, strong
form, harbor wave, collocation method.
Keywords
singular boundary method, method of fundamental solutions, strong
form, harbor wave, collocation method
Related Book
Other papers in this volume
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