Conservative Wetting and Drying Methodology for Quadrilateral Grid Finite-Volume Models
Publication: Journal of Hydraulic Engineering
Volume 133, Issue 3
Abstract
Algebraic equations relating fluid volume and the free surface elevation in partially wetted quadrilateral computational cells are derived and incorporated into a Godunov-type, finite-volume, shallow-water model. These equations make it straightforward to reconstruct the free surface elevation based on the volume of fluid in a computational cell, the dependent variable tracked by finite volume models for conservation purposes, regardless of whether the cell is fully or partially wetted. Improvements to the variable reconstruction process streamline the computation of mass and momentum fluxes with approximate Riemann solvers, yielding a model that simulates sub-, super-, and transcritical flows over irregular topography with wetting and drying fronts. Furthermore, the model is free from fluid and scalar mass conservation errors and it eliminates nonphysical distributions of scalars by avoiding artificial concentration and/or dilution at wet/dry interfaces. Use of this wetting and drying methodology adds roughly 10% to the execution time of flow simulations.
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Acknowledgments
This work was supported by a grant from the National Science Foundation (NSFCMS-9984579), whose support is gratefully acknowledged. In addition, the writers thank D. Finnegan and M. Ericsson from the Remote Sensing/GIS Center of the Cold Regions Research and Engineering Laboratory, U.S. Army Corps of Engineers for making Mission Creek terrain data and flood flow estimates available for use in this paper.
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Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 133 • Issue 3 • March 2007
Pages: 312 - 322
Copyright
© 2007 ASCE.
History
Received: Dec 13, 2005
Accepted: Apr 24, 2006
Published online: Mar 1, 2007
Published in print: Mar 2007
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