Applying a Legendre collocation method based on domain decomposition to calculate underwater sound propagation in a horizontally stratified environment

The propagation of sound waves in a horizontally stratified environment, classic problem ocean acoustics, has traditionally been calculated using normal modes. Most programs based on the mode model are discretized finite difference method (FDM). In this paper, Legendre collocation (LCM) domain decomposition is proposed to solve problem. A set points cannot penetrate multiple layers media, thus necessitating and use sets points. solution process proceeds entirely physical space, requiring that original differential equation be strictly established at points; thus, dense matrix eigenvalue system formed, from which for horizontal wavenumbers modes can directly obtained. Numerical experiments presented demonstrate validity applicability method. comparison with other methods shows LCM article more accurate than FDM offers roughly same accuracy as but faster calculation speed types spectral methods.