A High-Efficiency Spectral Method for Two-Dimensional Ocean Acoustic Propagation Calculations.

Area of Science:

• Hydroacoustics
• Computational physics
• Ocean acoustics

Background:

• Accurate sound field calculations are crucial in hydroacoustics.
• One-dimensional spectral methods offer precision but are limited to simplified underwater acoustic propagation models.
• Directly solving the two-dimensional Helmholtz equation is necessary for broader ocean acoustic propagation applications.

Purpose of the Study:

• To solve the two-dimensional Helmholtz equation for ocean acoustic propagation using Chebyshev-based numerical methods.
• To evaluate the Chebyshev collocation method for its accuracy and applicability in ocean acoustics.
• To address the computational efficiency limitations of the Chebyshev collocation method.

Main Methods:

• The study employed Chebyshev-Galerkin and Chebyshev collocation methods to solve the two-dimensional Helmholtz equation.
• The Chebyshev collocation method was specifically chosen for ocean acoustic propagation modeling due to relaxed boundary condition requirements compared to the Galerkin method.
• Parallel coding was implemented for the Chebyshev collocation method to improve computational performance.

Main Results:

• The Chebyshev collocation method demonstrated higher numerical accuracy compared to the established Kraken program for ocean acoustic propagation.
• The Chebyshev collocation method, while accurate, initially faced challenges with computational efficiency for real-time applications.
• Implementation of parallel code significantly enhanced the computational effectiveness of the Chebyshev collocation method.

Conclusions:

• The Chebyshev collocation method is a highly accurate numerical technique for modeling two-dimensional ocean acoustic propagation.
• The parallelization of the Chebyshev collocation method effectively overcomes its computational efficiency limitations.
• This approach offers a promising solution for real-time hydroacoustic applications requiring precise sound field calculations.