Numerical Simulations of Water Wave Propagation and Flooding

Luka Sopta (), Nelida Črnjarić-Žic (), Senka Vuković (), Danko Holjević (), Jerko Škifić () and Siniša Družeta ()
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Luka Sopta: University of Rijeka
Nelida Črnjarić-Žic: University of Rijeka
Senka Vuković: University of Rijeka
Danko Holjević: Croatian Waters
Jerko Škifić: University of Rijeka
Siniša Družeta: University of Rijeka

A chapter in Proceedings of the Conference on Applied Mathematics and Scientific Computing, 2005, pp 293-304 from Springer

Abstract: Abstract In this paper we present main points in the process of application of numerical schemes for hyperbolic balance laws to water wave propagation and flooding. The appropriate mathematical models are the one-dimensional open channel flow equations and the two-dimensional shallow water equations. Therefore good simulation results can only be obtained with well-balanced numerical schemes such as the ones developed by Bermùdez and Vázquez, Hubbard and García-Navarro, LeVeque, etc. as well as the ones developed by the authors of this paper. We also propose a modification of the well-balanced Q-scheme for the two-dimensional shallow water equations that solves the wetting and drying problem. Finally, we present numerical results for three simulation tasks: the CADAM dam break experiment, the water wave propagation in the Toce river, and the catastrophic dam break on the Malpasset river.

Keywords: open channel flow; shallow water; hyperbolic balance laws; well-balanced schemes; wetting and drying problem (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-3197-7_22

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DOI: 10.1007/1-4020-3197-1_22

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