Simulation of acoustic scattering by multiple obstacles in three dimensions

Abstract

We present an algorithm for simulating acoustic scattering by multiple three dimensional sound-hard, sound-soft, or absorbing impenetrable particles. We demonstrate the high order accuracy of the algorithm by simulating multiple scattering at a range of frequencies. The high order multiple acoustic scattering algorithm in this work facilitates understanding of the interactions of acoustic waves scattered by multiple convex and non-convex bodies. References M. Ganesh and S. C. Hawkins. Simulation of acoustic scattering by multiple obstacles in three dimensions part II: Extended numerical results. Technical report, Colorado School of Mines, 2008. http://www.mines.edu/~mganesh/multiple_08_acoustic_results_part_II.pdf P. A. Martin. Multiple Scattering: Interaction of Time-Harmonic Waves with N Obstacles. Cambridge University Press, 2006. T. Nousiainen and G. M. McFarquhar. Light scattering by quasi-spherical ice crystals. J. Atmospheric Sci., 61:2229--2248, 2004. doi:10.1175/1520-0469(2004)0612.0.CO;2 T. Wriedt, J. Hellmers, E. Eremina, and R. Schuh. Light scattering by single erythrocite: Comparison of different methods. J. Quant. Spectrosc. Radiat. Transfer, 100:444--456, 2006. doi:10.1016/j.jqsrt.2005.11.057 X. Antoine, C. Chniti, and K. Ramdani. On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders. J. Comput. Phys., 227:1754--1771, 2008. doi:10.1016/j.jcp.2007.09.030 M. Balabane. Boundary decomposition for helmholtz and maxwell equations 1: disjoint sub-scatterers. Asymp. Anal., 38:1--10, 2004. http://iospress.metapress.com/content/vu2bd0w9mkem8966 D. Colton and R. Kress. Inverse Acoustic and Electromagnetic Scattering Theory. Springer, 1998. M. Ganesh and I. G. Graham. A high-order algorithm for obstacle scattering in three dimensions. J. Comput. Phys., 198:211--242, 2004. doi:10.1016/j.jcp.2004.01.007