Seventh International Conference on Advances in Applied Science and Environmental Engineering - ASEE 2017
Author(s) : ALLAN ROSS MAGEE, FAN HUIQU, MIAO QUANMING
Based on Conformal Mapping method, the analytic solution of wave diffraction problem on the vertical cylinder with the cross section of arbitrary shape is proposed in this paper. The derivation of the solution is described in this paper and the results are compared with those of numerical methods. The good agreement shows that the analytic solution is correct and is applicable to non-circular cross section vertical cylinders. The model of scattering by a non-circular cross-section is a general basic mathematical problem. The techniques to handle the governing equation and boundary conditions in mapped plane proposed in this paper can provide reference for other similar Mathematical Physics problems.