Elliptic grid generation methods for scattering from multiple obstacles

Abstract

A novel finite difference time domain method for acoustic scattering on generalized curvilinear coordinates is briefly described. Scattering over two-dimensional complex regions consisting of multiple scatterers are analyzed. The grid generation algorithm decomposes regions with finite number of holes to contiguous single-hole subregions. Individual grids are obtained for each subregions and they are matched with smoothness across interfaces. The new algorithm is an extension to multiple obstacles of the technique introduced in [V. Villamizar, M. Weber, Boundary-Conforming Cordinates with Grid Line Control for Acoustic Scattering from Complexly Shaped Obstacles, Numer. Meth. Part Differ. Equ. 23 (2007Equ. 23 ( ) 1445Equ. 23 ( -1467. The method is successfully applied to approximate the pressure field resulting from the acoustic scattering of a plane wave from two complexly-shaped obstacles. *