Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
499388 | Computer Methods in Applied Mechanics and Engineering | 2008 | 19 Pages |
Abstract
In this paper, we introduce a class of well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. We extend the derivation of standard finite volume solvers for homogeneous systems to non-homogeneous ones using the method of lines. We study conservation and some well-balanced properties of the numerical scheme. We apply our solvers to shallow water equations: we prove that these exactly compute the water at rest solutions. We also perform some numerical tests, by comparing with 1D solutions, simulating the formation of a hydraulic drop and a hydraulic jump, and studying a real dam break: Aznalcóllar, an ecological disaster happened in the province of Seville, Spain in 1998.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
M.J. Castro Díaz, T. Chacón Rebollo, E.D. Fernández-Nieto, J.M. González Vida, C. Parés,