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A Godunov method for the computation of erosional shallow water transients
Author(s) -
Fraccarollo L.,
Capart H.,
Zech Y.
Publication year - 2003
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.475
Subject(s) - riemann solver , computation , shallow water equations , finite volume method , mechanics , godunov's scheme , extrapolation , geology , sediment transport , momentum (technical analysis) , discretization , geometry , waves and shallow water , erosion , mathematics , sediment , geotechnical engineering , mathematical analysis , numerical analysis , geomorphology , physics , algorithm , oceanography , finance , economics
A Godunov method is proposed for the computation of open‐channel flows in conditions of rapid bed erosion and intense sediment transport. Generalized shallow water equations govern the evolution of three distinct interfaces: the water free‐surface, the boundary between pure water and a sediment transport layer, and the morphodynamic bottom profile. Based on the HLL scheme of Harten, Lax and Van Leer (1983), a finite volume numerical solver is constructed, then extended to second‐order accuracy using Strang splitting and MUSCL extrapolation. Lateralisation of the momentum flux is adopted to handle the non‐conservative product associated with bottom slope. Computational results for erosional dam‐break waves are compared with experimental measurements and semi‐analytical Riemann solutions. Copyright © 2003 John Wiley & Sons, Ltd.