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Published on: February 13, 2018
Shock wave propagation along constant sloped ocean bottoms
Joseph T Maestas1, Larissa F Taylor2, Jon M Collis1
1Department of Applied Mathematics and Statistics, Colorado School of Mines, 1500 Illinois Street, Golden, Colorado 80401.
This study introduces a novel method to model shock wave propagation in complex underwater environments with sloping interfaces. The approach enhances the nonlinear progressive wave equation (NPE) for accurate long-range acoustic predictions.
Area of Science:
- Underwater acoustics
- Computational physics
- Wave propagation modeling
Background:
- The nonlinear progressive wave equation (NPE) models long-range shock propagation.
- Current NPE models struggle with sloping fluid-fluid interfaces.
- Accurate modeling is crucial for underwater acoustic applications.
Purpose of the Study:
- To adapt the NPE for range-dependent environments with sloping bathymetry.
- To analyze the influence of sound pressure levels on nonlinear steepening.
- To investigate the impact of sediment layers on blast wave propagation.
Main Methods:
- Utilized a rotated coordinate system to align sloping interfaces with computational axes.
- Applied appropriate interface, initial, and boundary conditions in the rotated system.
- Quantified nonlinear steepening effects across different sound pressure levels and domains.
- Simulated blast wave propagation through thin sediment layers.
Main Results:
- The rotated coordinate system effectively handles sloping interfaces in the NPE.
- Determined pressure thresholds where linear acoustic models become insufficient.
- Identified significant effects of thin sediment layers on blast wave propagation.
Conclusions:
- The adapted NPE provides a robust framework for modeling underwater acoustics in complex geometries.
- The findings offer insights into the limits of linear models and the impact of environmental factors on shock wave propagation.
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