Numerical comparison of two boundary meshless methods for water wave problems

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