The method of fundamental solutions for 3D Helmholtz exterior problem of underwater rigid objects

Three-dimensional Helmholtz exterior scattering problem of underwater rigid objects is solved by using the method of fundamental solutions(MFS).Influences of position distribution and the number of source points to the computational results are studied,and computational accuracy of least square collocation method and that of equivalent collocation method is compared.The results show that computational accuracy gets worse when the distinction between the shape composed of source points and boundary shape of object is more appreciable.It can be improved by increasing the number of source points.Satisfied computational accuracy could obtain from less of the number of source points thus the computational efficiency is gained.However,the source points should not be far from the boundary of object.Computational accuracy of least square collocation method is higher than that of equivalent collocation method.