Numerical Solution Technique

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Numerical Solution Technique

Horizontal and Vertical Discretization

ROMS staggered rho grid

The ROMS governing equations are discretized over variable topography using a stretched, terrain-following, vertical coordinate. As a result, each grid cell may have different level thickness (Hz) and volume. The model state variables are vertically staggered so that horizontal momentum (u,v), density, and tracers (active and passive) are located at the center of the grid cell. The vertical velocity (ω, w) and vertical mixing variables (Akt, Akv, etc) are located at the bottom and top faces of cell. See diagram below.

Vieste-Dubrovnik Transect
ROMS vertical grid

Time-Stepping

Horizontal and Vertical Advection

Pressure Gradient