@Article{CiCP-12-5,
author = {},
title = {An Application of the Level Set Method to Underwater Acoustic Propagation},
journal = {Communications in Computational Physics},
year = {2012},
volume = {12},
number = {5},
pages = {1359--1391},
abstract = {<p style="text-align: justify;">An algorithm for computing wavefronts, based on the high frequency approximation to the wave equation, is presented. This technique applies the level set
method to underwater acoustic wavefront propagation in the time domain. The level
set method allows for computation of the acoustic phase function using established
numerical techniques to solve a first order transport equation to a desired order of accuracy. Traditional methods for solving the eikonal equation directly on a fixed grid
limit one to only the first arrivals, so these approaches are not useful when multi-path
propagation is present. Applying the level set model to the problem allows for the
time domain computation of the phase function on a fixed grid, without having to restrict to first arrival times. The implementation presented has no restrictions on range
dependence or direction of travel, and offers improved efficiency over solving the full
wave equation which under the high frequency assumption requires a large number
of grid points to resolve the highly oscillatory solutions. Boundary conditions are discussed, and an approach is suggested for producing good results in the presence of
boundary reflections. An efficient method to compute the amplitude from the level set
method solutions is also presented. Comparisons to analytical solutions are presented
where available, and numerical results are validated by comparing results with exact
solutions where available, a full wave equation solver, and with wavefronts extracted
from ray tracing software.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.190311.231211a},
url = {https://global-sci.com/article/80824/an-application-of-the-level-set-method-to-underwater-acoustic-propagation}
}