TY - JOUR
T1 - Efficient Finite Difference Methods for Acoustic Scattering from Circular Cylindrical Obstacle
AU - R. Guo, K. Wang & L.-W. Xu
JO - International Journal of Numerical Analysis and Modeling
VL - 6
SP - 986
EP - 1002
PY - 2016
DA - 2016/11
SN - 13
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/475.html
KW - Helmholtz equation, circular cylindrical coordinate, finite difference method, pollution free, 3D ocean waveguide.
AB - <p style="text-align: justify;">We consider efficient finite difference methods for solving the three-dimensional (3D)
acoustic scattering by an impenetrable circular cylindrical obstacle. By using the separation of
variable and other techniques, we first transform the 3D problem into a series of one-dimensional
(1D) problems in this paper, and then construct some efficient and accuracy finite difference methods
to solve these 1D problems instead of the 3D one. There are mainly two advantages for these
methods: one is that they are pollution free for the problem to be considered in this paper; and
the other is that the linear systems generated from these schemes have tri-diagonal structures.
These features lead to easy implementation and much less computational cost. Numerical examples
are presented to verify the efficiency and accuracy of the numerical methods, even with the
wave number greater than 100.</p>