Abstract
A pseudo-spectral method is used to solve the acoustic and elastic wave equations in the time domain. The application of such a computation and memory-intensive method to shallow-water propagation and scattering problems is discussed. Three-dimensional solutions are given for two different shallow-water related problems: pulse propagation through solitary internal waves and pulse scattering from bottom inhomogeneities. The size of a typical computational domain for both problems is about (30 wavelength)3. However, for the propagation problem, distances up to several hundred wavelengths have been achieved by moving the computational domain with the wavefront. The accuracy of the pseudo-spectral method has been checked with analytical solutions to simpler problems. Two-dimensional results of moving-domain approach are compared to those of single-domain and good agreement is observed. The existing method is expected to confirm the accuracy of the approximate solutions such as PE in a complicated range-dependent environment. [Work supported by ONR.]
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