Investigation of the Importance of Spatial Resolution for Two-Dimensional Shallow-Water Model Accuracy
This article has a reply.
VIEW THE REPLYThis article has a reply.
VIEW THE REPLYPublication: Journal of Hydraulic Engineering
Volume 135, Issue 11
Abstract
The importance of spatial resolution for two-dimensional shallow-water model accuracy has been investigated by testing the effect of mesh refinement on two test cases based on laboratory dam-break experiments. A balanced first-order accurate upwind Q-Scheme and a second-order accurate upwind Hancock Monotone Upstream-centered Scheme for Conservation Laws scheme were both first validated on an analytical test, and then applied to the experimental dam-break test cases on four meshes of different density. Simulation results were evaluated through comparison of experimental and computed water level values at several available gauge points. Model sensitivity analysis showed that (1) mesh density was not critical for results accuracy; (2) excessive mesh refinement somewhat deteriorated the results; and (3) optimal spatial resolution was relatively low. Response is shown to be highly complex and no simple relation between spatial resolution and model accuracy has been found.
Get full access to this article
View all available purchase options and get full access to this article.
References
Bermudez, A., Derviex, A., Desideri, J. -A., and Vazquez, M. E. (1995). “Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes.” Rep. No. 2738, Institut National de Recherche en Informatique et en Automatique, Paris.
Črnjarić-Žic, N., Vuković, S., and Sopta, L. (2003). “On numerical treatment of shallow water flow over the dry bed including balancing.” Proc., 4th Int. Congress of Croatian Society of Mechanics, Croatian Society of Mechanics, Zagreb, Croatia, 77–84.
Crowder, D. W. (2002). Reproducing and quantifying spatial flow patterns of ecological importance with two-dimensional hydraulic models, Virginia Polytechnic Institute and State Univ., Blacksburg, Va.
Garcia-Navarro, P., and Vazquez-Cendon, M. E. (2000). “On numerical treatment of the source terms in the shallow water equations.” Comput. Fluids, 29(8), 951–979.
Hardy, R. J., Bates, P. D., and Anderson, M. G. (1999). “The importance of spatial resolution in hydraulic models for floodplain environments.” J. Hydrol. (Amst.), 216(1–2), 124–136.
Hiver, J. -M. (1998). “Adverse slope and slope (‘bump’).” Proc., Concerted Action on Dam Break Modelling: Objectives, Project Report, Test Cases (CD-ROM), Université catholique de Louvain, Louvain-la-Neuve, Belgium.
Morris, M. W. (2000). “CADAM: Concerted action on dambreak modelling. Final report.” Rep. SR 571, HR Wallingford, Wallingford, ⟨http://www.hrwallingford.co.uk/projects/CADAM/CADAM/final.pdf⟩.
Soares Frazao, S., Noel, B., Spinewine, B., and Zech, Y. (2003). “The isolated building test case: Results from the IMPACT benchmark.” Proc., 3rd IMPACT Workshop (CD-ROM), Université catholique de Louvain, Louvain-la-Neuve, Belgium.
Soares Frazao, S., Sillen, X., and Zech, Y. (1999). “Dam-break flow through sharp bends – Physical model and 2D Boltzmann model validation.” Proc., CADAM meeting Wallingford, European Commission, Brussels, Belgium, 151–169.
Toro, E. F. (2001). Shock capturing methods for free surface shallow flows, Wiley, Chichester, U.K.
Zhou, J. G., Causon, D. M., Mingham, C. G., and Ingram, D. M. (2001). “The surface gradient method for the treatment of source terms in the shallow-water equations.” J. Comput. Phys., 168(1), 1–25.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 135 • Issue 11 • November 2009
Pages: 917 - 925
Copyright
© 2009 ASCE.
History
Received: Oct 18, 2005
Accepted: May 27, 2009
Published online: Oct 15, 2009
Published in print: Nov 2009
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.