LAUSR

Finite element models provide solutions to the Helmholtz equation for ocean acoustics applications, which are exact on the order of the discretization. However, to achieve convergence the discretization must be on the order of several elements per acoustic wavelength. For large-scale ocean acoustics applications, and small (high-frequency) acoustic wavelengths, the number of elements required often exceeds millions. In addition, in each element, the basis set decomposition required for finite element modeling increases the number of degrees of freedom, and for problems involving elastic structures, additional degrees of freedom are required to describe the elasto-dynamic acoustics equation. Therefore, for a large-scale ocean acoustics problem, the number of degrees of freedom can reach into the tens of millions. This requires large memory caches on computing systems. The number of degrees of freedom can be reduced by using wavenumber decomposition techniques at the expense of running many models. In this ...