Title: Evaluating partial dam breach using the CBS method in shallow waters

Authors: Gustavo Braz Kurz; Renato Vaz Linn; Daniela Buske; Régis Sperotto de Quadros

Addresses: Department of Mathematics, Federal of Rio Grande do Sul University, Porto Alegre, RS, Brazil ' Department of Mathematics, Federal of Rio Grande do Sul University, Porto Alegre, RS, Brazil ' Department of Mathematics, Federal of Rio Grande do Sul University, Porto Alegre, RS, Brazil ' Department of Mathematics, Federal of Rio Grande do Sul University, Porto Alegre, RS, Brazil

Abstract: In this paper, a numerical solver for the computation of dam breach problems is developed and presented. The flow is modelled by shallow water equations considering an incompressible fluid flow and numerically solved by means of the finite element method (FEM). For a temporal solution, the characteristic-based split (CBS) scheme is used, introducing modifications in the advective term. A linear triangular element is considered for space interpolation on unstructured meshes thus allowing representation of complex geometries. The numerical simulation of dam breach problems encompass some numerical difficulties such as the propagation of discontinuities on the flow and unsteady effects, which are handled by the presented method considering an artificial diffusion term. Studies are ongoing presenting a dam breach problem considering four different failure cases. The total failure case is compared with experimental data validating the methodology. Further failure investigations are presented comparing the differences in flow dynamics related to the total breach case.

Keywords: dam breaches; shallow water; finite element method; FEM; characteristic-based split; CBS; interdisciplinary.

DOI: 10.1504/IJHM.2024.140571

International Journal of Hydromechatronics, 2024 Vol.7 No.3, pp.278 - 291

Received: 09 Nov 2023
Accepted: 22 May 2024
Published online: 23 Aug 2024 *

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