(Massachusetts Institute of Technology and Woods Hole Oceanographic Institution, 1979)
Koch, Stephen Patrick
An algorithm is proposed to numerically integrate the inhomogeneous
depth-separated wave equation using a state variable technique. The solution
obtained for two simple shallow water models is shown to agree well
with the known exact solutions. Integration grid density is discussed and
a minimum required density specified.
The use of complex sound speeds to simulate bottom attenuation is
reviewed. A numerical instability inherent to the technique that arises
during the use of complex sound speeds is investigated.
The algorithm is also applied to a deep ocean profile, and the solution
characteristics discussed. Sensitivity problems that arise when modelling
the seafloor as a layered elastic medium are analyzed.
