A Sigma Coordinate Ocean Forecasting Computer Code. I. Model Differential Equations,Spatial Finite-Difference Representation and Conservation Properties.

摘要

This report describes the results of the first phase of the development of an ocean forecasting finite-difference computer code. A careful derivation of the model differential equations of mass, heat, salt and momentum conservation is presented first. They include parameterizations of the effects of heat, salt and momentum transport by motions which will not be resolved in the finite-difference representation. The model equations are written in terms of a sigma coordinate system to simplify the treatment of bottom topography, coasts and islands. A set of surface, bottom and lateral boundary conditions are proposed, and the integral properties of the model equations are discussed.