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gfdl on-line bibliography > 2005 citations
A wetting and drying scheme for POM
| Oey, L-Y., 2005: A wetting and drying scheme for POM. Ocean Modelling, 9(2), 133-150. |
Abstract: In shallow-water models, wetting and
drying (WAD) are determined by the total water depth D=0 for'dry'
and >0 for'wet'. Checks are applied to decide the fate of each cell during
model integration. It is shown that with bottom friction values commonly
used in coastal models, the shallow-water system may be cast into a Burger's
type equation for D. For flows dominated by D
(i.e. | D|>>|
H|,
where H(x,y) defines topography) a non-linear diffusion
equation results, with an effective diffusivity that varies like D2,
so that'dry' cells are regions where'diffusion' is very small. In this
case, the system admits D=0 as part of its continuous solution and no
checks are necessary. For general topography, and/or in the case of strong
momentum advection,'wave-breaking' solution (i.e. hydraulic jumps and/or
bores) can develop. A WAD scheme is proposed and applied to the Princeton
Ocean Model (POM). The scheme defines'dry' cells as regions with a thin
film of fluid O (cm). The primitive equations are solved in the thin
film as well as in other regular wet cells. The scheme requires only
flux-blocking conditions across cells' interfaces when wet cells become dry,
while ‘dry' cells are temporarily dormant and are dynamically activated
through mass and momentum conservation. The scheme is verified against the
above-mentioned diffusion and Burger's type equations, and tested also for
one and two-dimensional channel flows that contain hydraulic jumps,
including a laboratory dam-break problem. |