Title

Review of wetting and drying algorithms for numerical tidal flow models

Authors

Authors

S. C. Medeiros;S. C. Hagen

Comments

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Abbreviated Journal Title

Int. J. Numer. Methods Fluids

Keywords

shallow water equations; wetting and drying; flooding and drying; moving; boundary; numerical modeling; SHALLOW-WATER EQUATIONS; FINITE-ELEMENT MODEL; BOUNDARY HYDRODYNAMIC; PROBLEMS; SCANNING LASER ALTIMETRY; SEA-LEVEL RISE; STORM-SURGE; COMPLEX; TOPOGRAPHY; VENICE LAGOON; SCALE MODEL; TAMPA BAY; Computer Science, Interdisciplinary Applications; Mathematics, ; Interdisciplinary Applications; Mechanics; Physics, Fluids & Plasmas

Abstract

A review of wetting and drying (WD) algorithms used by contemporary numerical models based on the shallow water equations is presented. The numerical models reviewed employ WD algorithms that fall into four general frameworks: (1) Specifying a thin film of fluid over the entire domain; (2) checking if an element or node is wet, dry or potentially one of the two, and subsequently adding or removing elements from the computational domain; (3) linearly extrapolating the fluid depth onto a dry element and its nodes from nearby wet elements and computing the velocities; and (4) allowing the water surface to extend below the topographic ground surface. This review presents the benefits and drawbacks in terms of accuracy, robustness, computational efficiency, and conservation properties. The WD algorithms also tend to be highly tailored to the numerical model they serve and therefore difficult to generalize. Furthermore, the lack of temporally and spatially defined validation data has hampered comparisons of the models in terms of their ability to simulate WD over real domains. A short discussion of this topic is included in the conclusion. Copyright (c) 2012 John Wiley & Sons, Ltd.

Journal Title

International Journal for Numerical Methods in Fluids

Volume

71

Issue/Number

4

Publication Date

1-1-2013

Document Type

Article

Language

English

First Page

473

Last Page

487

WOS Identifier

WOS:000313249600004

ISSN

0271-2091

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