The sigma coordinate system is a common coordinate system used in computational models for oceanography, meteorology and other fields where fluid dynamics are relevant. [1] This coordinate system receives its name from the independent variable used …

The Princeton Ocean Model (POM) is a simple-to-run yet powerful ocean modeling code to simulate a wide-range of problems, from small-scale coastal processes to global ocean climate change. POM is a sigma coordinate (terrain-following), free surface ocean model with embedded turbulence and wave sub-models, and wet-dry capability.

There are many choices of terrain following coordinate but we will demonstrate the simplest, known as -coordinates (sigma) where. This maps the bottom at z = −H(x, y) to = −1 and so the domain is made square. Using r = = z/H simplifies the scaling factor ρr 1 ρz.

The sigma coordinate system is probably a necessary attribute in dealing with significant topographical variability such as that encountered in estuaries or over continental shelf breaks and slopes.

Jul 1, 2022 · The terrain-following (sigma, or σ) coordinate has widely been used in ocean circulation models to simulate 3D circulation and hydrography over coastal and shelf waters and in the deep ocean with the complicated bathymetry.

Jan 1, 2002 · A sigma coordinate, free surface numerical model with turbulence dynamics has been implemented for the Atlantic Ocean and the Greenland Sea, from 80°S to 80°N.

Sep 16, 2020 · POM is a sigma coordinate, free surface ocean model with embedded turbulence and wave sub-models, and wet-dry capability. It has been one of the first coastal ocean models freely available to users, with currently over 3000 users from 70 countries.

Jul 17, 2019 · ROMS has a generalized vertical, terrain-following, coordinate system. Currently, two vertical transformation equations, z = {\displaystyle z=z (x,y,\sigma ,t)}, are available which can support numerous vertical stretching 1D-functions when several constraints are satisfied. The following vertical coordinate transformations are available: or.

Numerical ocean models increasingly make use of σ - coordinate systems. A paper by Gerdes (1993) shows that these coordinate systems can be more general; he termed the generalized form an "s - coordinate" system. The main advantage of the σ or s - system is that, when cast in a finite difference form, a smooth represen-

Numerical ocean models increasingly make use of σ — coordinate systems. A paper by Gerdes (1993) shows that these coordinate systems can be more general; he termed the generalized form an “s — coordinate” system.