The sound propagation in a wedge-shaped waveguide with perfectly reflecting boundaries is one of the few range-dependent problems with an analytical solution. This provides a benchmark for the theoretical and computational studies on the simulation of ocean acoustic applications. We present a direct finite volume method (FVM) simulation for the ideal wedge problem, and both time and frequency domain results are analyzed. We also study the broadband problem with large-scale parallel simulations. The results presented in this paper validate the accuracy of the numerical techniques and show that the direct FVM simulation could be applied to large-scale complex acoustic applications with a high performance computing platform.

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Abstract. The time domain direct simulation to the sound propagation has multiple advantages on adapting to complicated boundary conditions or applying on high performance computers, but it does not provide frequency information explicitly. However in the studies of ocean acoustics, underwater military applications and their numerical simulations, the frequency analysis of sound waves plays a much more significant role than the direct time domain results. For these reason we present a frequency analysis technique embedded to the direct finite volume method (FVM) simulation of the sound propagation using OpenFOAM. In this paper we also test the accuracy and efficiency of the embedded technique by solving the sound propagation in an ideal wedge-shaped wave guide. The results of the experiments validated the embedded technique and the improvements comparing with the post-processing frequency analysis.