One dimensional numerical model, with an application to the vertical distribution of dissolved oxygen in the ocean. Manual: M1D.

摘要

This manual describes the one dimensional model M1D, and its application to the vertical distribution of dissolved oxygen in the ocean. Section 2 describes the partial differential equation upon which the model is based, and the required boundary conditions. Section 3 gives the finite difference equations used to approximate the partial differential equations, and the scheme used for their solution. In Section 4 a linear stability analysis of the finite difference equations is given. Section 5 describes the program M1D that implements the solution of the finite difference equations. The program description is done from a programmer's point of view, especially with regard to parameters that control the simulation, location of variables on the grid, and the output file. A flow chart of the solution algorithm is also provided in this section. Section 6 presents some results of using the model to simulate the vertical distribution of oxygen in the ocean. Comparisons of model results to an analytical solution and to measured data from the North Eastern Tropical Pacific are given in this section. Finally, a summary and conclusions are presented in Section 7.