Finite Volume Model for Two-Dimensional Shallow Water Flows on Unstructured Grids
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Volume 130, Issue 7
Abstract
A numerical model based upon a second-order upwind finite volume method on unstructured triangular grids is developed for solving shallow water equations. The HLL approximate Riemann solver is used for the computation of inviscid flux functions, which makes it possible to handle discontinuous solutions. A multidimensional slope-limiting technique is employed to achieve second-order spatial accuracy and to prevent spurious oscillations. To alleviate the problems associated with numerical instabilities due to small water depths near a wet/dry boundary, the friction source terms are treated in a fully implicit way. A third-order total variation diminishing Runge–Kutta method is used for the time integration of semidiscrete equations. The developed numerical model has been applied to several test cases as well as to real flows. Numerical tests prove the robustness and accuracy of the model.
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Published In
Journal of Hydraulic Engineering
Volume 130 • Issue 7 • July 2004
Pages: 678 - 688
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Copyright © 2004 American Society of Civil Engineers.
History
Received: Sep 17, 2002
Accepted: Sep 25, 2003
Published online: Jun 15, 2004
Published in print: Jul 2004
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