non-erodible bottom; computational method; sediment transport
Abstract :
[en] In depth- and cross section-averaged morphodynamic models, based on explicit time integration, it may happen that the computed bed level becomes lower than the top level of a non-erodible layer (e.g. concrete, bedrock or armoured layer). This is a standard pitfall which has been addressed in different ways. In this paper, we present an original approach for avoiding computation of non-physical bed levels, using an iterative procedure to correct the outward sediment fluxes. The procedure is shown to be computationally efficient while it achieves a high accuracy in terms of mass conservation. We compare our original approach with the existing Struiksma’s method and with a reformulation of the problem in terms of mathematical optimization of a linear or non-linear objective function under linear constraints.
The new procedure has been incorporated into an existing finite volume morphodynamic model. It has been validated with several 1D benchmarks leading to configurations with sediment transport over non-erodible bottom. The computation time has been verified not to increase by more than 15% compared to runs without non-erodible bottom.
Research center :
Aquapôle - ULiège
Disciplines :
Civil engineering
Author, co-author :
Rulot, François ; Université de Liège - ULiège > Département Argenco : Secteur MS2F > Hydrodynamique appl. et constructions hydrauliques (HACH)
Dewals, Benjamin ; Université de Liège - ULiège > Département Argenco : Secteur MS2F > Hydrodynamique appl. et constructions hydrauliques (HACH)
Erpicum, Sébastien ; Université de Liège - ULiège > Services généraux (Faculté des sciences appliquées) > Scientifiques attachés au Doyen (Sc.appliquées)
Archambeau, Pierre ; Université de Liège - ULiège > Département Argenco : Secteur MS2F > Hydrodynamique appl. et constructions hydrauliques (HACH)
Pirotton, Michel ; Université de Liège - ULiège > Département Argenco : Secteur MS2F > Hydrodynamique appl. et constructions hydrauliques (HACH)
Language :
English
Title :
Modelling sediment transport over partially non-erodible bottoms
Publication date :
2012
Journal title :
International Journal for Numerical Methods in Fluids
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