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A projection method‐based model for dam‐ and dyke‐break flows using an unstructured finite‐volume technique: Applications to the Malpasset dam break (France) and to the flood diversion in the Red River Basin (Vietnam)
Author(s) -
Shi Yue,
Nguyen Kim Dan
Publication year - 2008
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1699
Subject(s) - finite volume method , unstructured grid , discretization , upwind scheme , projection (relational algebra) , dam break , flood myth , advection , geology , stage (stratigraphy) , mathematics , grid , mechanics , algorithm , geometry , mathematical analysis , physics , geography , paleontology , archaeology , thermodynamics
Abstract A numerical model is presented for simulating dam‐break flows and flood diversions. The model is based on a projection method, which consists of combining the momentum and continuity equations to establish a Poisson‐type equation for the water surface level. The computed domain is discretized by finite volumes on an unstructured grid. A second‐order upwind scheme coupled with a least‐square technique is used for handling advection terms. The accuracy, stability and reliability of the present model are verified by comparing numerical results with observed data for the Malpasset dam‐break event. An application of flood diversion in Red River Basin is also reported. Copyright © 2008 John Wiley & Sons, Ltd.