A theoretical investigation of the M2 constituent of the tide in the Gulf of Mexico.

Abstract

An ability to predict tides in the open sea is of value to oceanographers and coastal engineers. This study attempts to attain this goal of deep-sea tidal prediction by application of the hydrodynamic equations to individual tidal constituents. Similar treatments by Hansen and Rossiter with less general application were very successful. Adaptation of the method to the digital computer contributes considerably to its usefulness and versatility. Specific solutions are sought in the Gulf of Mexico for the M2 tidal constituent in an attempt to explain abrupt shifts in tidal forms along the Gulf Coast. One hand calculation solution using relaxation techniques on a coarse grid was undertaken. Computer solutions were obtained for actual depths with a coarse grid and for constant depth with a much finer grid. Cotidal and corange analyses of the computer solutions both fit well with coastal data indicating that bathymetry is not as influential in the tidal form shifts as expected. The technique utilized is judged effective and its refinement and application to other basins is recommended.http://www.archive.org/details/theoreticalinves00gainLieutenant, United States NavyApproved for public release; distribution is unlimited