Abstract
This finite-difference time domain (FDTD) model for sound propagation in very shallow water uses pressure and velocity grids with both 3-dimensional Cartesian and 2-dimensional cylindrical implementations. Parameters, including water and sediment properties, can vary in each dimension. Steady-state and transient signals from discrete and distributed sources, such as the surface of a vibrating pile, can be used. The cylindrical implementation uses less computation but requires axial symmetry. The Cartesian implementation allows asymmetry. FDTD calculations compare well with those of a split-step parabolic equation. Applications include modeling the propagation of individual fish sounds, fish aggregation sounds, and distributed sources.
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References
Botteldooren D (1994) Acoustical finite-difference time-domain simulation in a quasi-Cartesian grid. J Acoust Soc Am 95:2313–2319
Collins MD (1993) A split-step Padé solution for the parabolic equation method. J Acoust Soc Am 93:1736–1742. doi:10.1121/1.406739
Collins MD (1994) Generalization of the split-step Padé solution. J Acoust Soc Am 96:382–385. doi:10.1121/1.410488
Collins MD (1995) User’s guide for RAM versions 1.0 and 1.0p. Naval Research Laboratory, Washington, DC
Collins MD, Cederberg RJ, King DB, Chin-Bing SA (1996) Comparison of algorithms for solving parabolic wave equations. J Acoust Soc Am 100:178–182. doi:10.1121/1.415921
Sakamoto S, Seimiya T, Tachibana H (2002) Visualization of sound reflection and diffraction using finite difference time domain method. Acoust Sci Technol 23:34–39
Sprague M, Luczkovich J (2012a) Modeling fish aggregation sounds in very shallow water to estimate numbers of calling fish in aggregations. Proceedings of Meetings on Acoustics 12, 010004. doi:10.1121/1.4730158
Sprague MW, Luczkovich JJ (2012b) Modeling the propagation of transient sounds in very shallow water using finite difference time domain (FDTD) calculations. In: Popper AN, Hawkins AD (eds) The effects of noise on aquatic life, vol 730, Advances in experimental medicine and biology. Springer, New York, pp 459–461
Teixeira F, Chew W (1997) PML-FDTD in cylindrical and spherical grids. IEEE Microw Guided Wave Lett 7:285–287
Yee KS (1966) Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media. IEEE T Antenn Propag 14:302–307
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Sprague, M.W., Luczkovich, J.J. (2016). Development of a Finite-Difference Time Domain (FDTD) Model for Propagation of Transient Sounds in Very Shallow Water. In: Popper, A., Hawkins, A. (eds) The Effects of Noise on Aquatic Life II. Advances in Experimental Medicine and Biology, vol 875. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2981-8_135
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DOI: https://doi.org/10.1007/978-1-4939-2981-8_135
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