A Chebyshev Spectral Method for Normal Mode and Parabolic Equation Models in Underwater Acoustics
Houwang Tu, Yongxian Wang, Wei Liu, Xian Ma, Wenbin Xiao, Qiang Lan
Abstract
In this paper, the Chebyshev spectral method is used to solve the normal mode and parabolic equation models of underwater acoustic propagation, and the results of the Chebyshev spectral method and the traditional finite difference method are compared for an ideal fluid waveguide with a constant sound velocity and an ideal fluid waveguide with a deep-sea Munk speed profile. The research shows that, compared with the finite difference method, the Chebyshev spectral method has the advantages of a high computational accuracy and short computational time in underwater acoustic propagation.
Topics & Concepts
Chebyshev filterUnderwaterChebyshev polynomialsSpectral methodMathematicsChebyshev equationMathematical analysisAcousticsFinite difference methodFinite differenceMode (computer interface)Underwater acousticsIdeal (ethics)WaveguideChebyshev pseudospectral methodChebyshev iterationPhysicsOpticsComputer scienceGeologyOrthogonal polynomialsEpistemologyOceanographyOperating systemClassical orthogonal polynomialsPhilosophyUnderwater Acoustics ResearchUnderwater Vehicles and Communication SystemsRadio Wave Propagation Studies