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The PROSPER General Circulation Model, an adapted form of the Sandia Ocean Modelling method: A numerical description
Author(s) -
Zuur E. A. H.
Publication year - 1991
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650130208
Subject(s) - compressibility , hydrostatic equilibrium , poisson's equation , circulation (fluid dynamics) , computational fluid dynamics , mathematics , polygon mesh , finite difference , pressure correction method , mechanics , mathematical analysis , physics , geometry , quantum mechanics
The PROSPER General Circulation Model (PGCM) is a three‐dimensional model based on the incompressible Navier‐Stokes equations, an equation of state and the heat equation. The hydrostatic approximation and the rigid lid approximation are used. The system of equations is converted into an equivalent form in which the surface pressure is more directly expressed in terms of a two‐dimensional Poisson equation. The finite difference method is described and analysed. In particular, the iteration method within every time step to determine the new surface pressure and velocity components, and numerical diffusion aspects due to the use of the staggered Arakawa‐C grid are looked at. Since part of the development of the PGCM code is a result of studying the Sandia Ocean Modelling System (SOMS), a comparison is made with respect to the concepts used in both models.