Review of wetting and drying algorithms for numerical tidal flow models

    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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