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shallow sediment transport flow computation using time-varying sediment adaptation length

International Journal of Sediment Research 2014年第2期29卷 171-183页

作者： Jaan Hui PU Khalid HUSSAIN Song-dong SHAO Yue-fei HUANG School of Engineering and Informatics University of Bradford West Yorkshire BD7 1DPUK.Lecturer School of Engineering University of Bradford West Yorkshire BD7 1 DPUK.Head Department of Civil and Structure Engineering University of Sheffield Sheffield S1 3JDUK Senior Lecturer State Key Laboratory of Hydro-Science and Engineering Tsinghua University

Based on the common approach,the adaptation length in sediment transport is normally estimated astemporally ***,this approach might not be theoretically justified as the process of reaching the sediment transport equilibrium stage is affected by the flow conditions in time,especially for fast moving flows,such as scour-hole developing *** this study,the two-dimensional(2D) shallow water formulation together with a sediment continuity-concentration(SCC) model were applied to flow with mobile sediment boundary.A timevarying approach was proposed to determine the sediment transport adaptation length to simulate the sediment erosion-deposition *** proposed computational model was based on the Finite Volume(FV) *** Monotone Upwind Scheme of Conservative Laws(MUSCL)-Hancock scheme was used with the Harten Lax van Leer-contact(HLLC) approximate Riemann solver to discretize the FV *** the flow applications of this paper,a highly discontinuous dam-break,fast sediment transport flow was used to calibrate the proposed timevarying sediment adaptation length *** the calibrated model was further applied to two separate experimental sediment transport flow applications documented in the literature,i.e.a highly concentrated sediment transport flow in a wide alluvial channel and a sediment aggradation *** agreement with the experimental data were obtained with the proposed model *** tests prove that the proposed model,which was calibrated by the discontinuous dam-break bed scouring flow,also performed well to represent rapid bed change and steady sediment mobility conditions.

关键词： Finite volume model Harten Lax van Leer-contact solver Monotonic upwind scheme Sediment transport shallow water model Time-varying sediment adaptation length

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A Well-Balanced FVC Scheme for 2D shallow water Flows on Unstructured Triangular Meshes

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Advances in Applied Mathematics and Mechanics 2023年第5期15卷 1335-1378页

作者： Moussa Ziggaf Imad Kissami Mohamed Boubekeur Fayssal Benkhaldoun ENSAO LMCSComplexe UniversitaireB.P.66960000 OujdaMorocco MSDA Mohammed VI Polytechnic UniversityLot 66043150 Ben GuerirMorocco Universit´eéSorbonne Paris Nord LAGACNRSUMR 7539F-93430VilletaneuseFrance

This paper aims to present a new well-balanced,accurate and fast finite volume scheme on unstructured grids to solve hyperbolic conservation *** is a scheme that combines both finite volume approach and characteristic *** this study,we consider a shallow water system with Coriolis effect and bottom friction stresses where this new Finite Volume Characteristics(FVC)scheme has been *** physical and mathematical properties of the system,including the C-property,have been well ***,we developed this approach by preserving the advantages of the finite volume discretization such as conservation property and the method of characteristics,in order to avoid Riemann solvers and to enhance the accuracy without any complexity of the MUSCL ***,a discretization was applied to the bottom source term that leads to a well-balanced scheme satisfying the steady-state condition of still water.A semi-implicit treatment will also be presented in this study to avoid stability problems due to source ***,the proposed finite volume method is verified on several benchmark tests and shows good agreement with analytical solutions and experimental results;moreover,it gives a noteworthy accuracy and rapidity improvement compared to the original approaches.

关键词： shallow water model method of characteristics FVC scheme finite volume method well-balanced scheme

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