Numerical Simulation of Bed Load and Suspended Load Sediment Transport Using Well-Balanced Numerical Schemes

doi:10.1007/s42967-021-00162-1

Communications on Applied Mathematics and Computation ›› 2023, Vol. 5 ›› Issue (2): 885-922.doi: 10.1007/s42967-021-00162-1

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Numerical Simulation of Bed Load and Suspended Load Sediment Transport Using Well-Balanced Numerical Schemes

J. C. González-Aguirre¹, J. A. González-Vázquez², J. Alavez-Ramírez¹, R. Silva³, M. E. Vázquez-Cendón⁴

1 División Acádemica de Ciencias Básicas, Universidad Juárez Autónoma de Tabasco, Carr. Cunduacán-Jalpa de Mendéz KM. 1, CP 86690, Cunduacán, Tabasco, Mexico;
2 Universidad Autónoma Metropolitana-Unidad Iztapalapa, Av. San Rafael Atlixco no. 186, Mexico City, Mexico;
3 Instituto de Ingeniería, Universidad Nacional Autónoma de México, 04510 Mexico City, Mexico;
4 Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, 15706 Santiago de Compostela, Spain

Received:2020-06-24 Revised:2021-07-15 Online:2023-06-20 Published:2023-05-26
Contact: J. C. González-Aguirre, jcarlos.gonzalez@ujat.mx;J. A. González-Vázquez, jgonzalezv@xanum.uam.mx;J. Alavez-Ramírez, justino.alavez@ujat.mx;R. Silva, rsilvac@iingen.unam.mx;M. E. Vázquez-Cendón, elena.vazquez.cendon@usc.es E-mail:jcarlos.gonzalez@ujat.mx;jgonzalezv@xanum.uam.mx;justino.alavez@ujat.mx;rsilvac@iingen.unam.mx;elena.vazquez.cendon@usc.es
Supported by:
The authors are grateful to the Consejo Nacional de Ciencia y Tecnología for the scholarship granted to carry out this project. This work was partially supported by the Spanish MICINN project MTM2013-43745-R and MTM2017-86459-R and by the Xunta de Galicia, the FEDER under research project ED431C 2017/60 -014 and was partially supported by PRODEP project UAM-PTC-669.

Abstract

Abstract: Sediment transport can be modelled using hydrodynamic models based on shallow water equations coupled with the sediment concentration conservation equation and the bed conservation equation. The complete system of equations is made up of the energy balance law and the Exner equations. The numerical solution for this complete system is done in a segregated manner. First, the hyperbolic part of the system of balance laws is solved using a finite volume scheme. Three ways to compute the numerical flux have been considered, the Q-scheme of van Leer, the HLLCS approximate Riemann solver, and the last one takes into account the presence of non-conservative products in the model. The discretisation of the source terms is carried out according to the numerical flux chosen. In the second stage, the bed conservation equation is solved by using the approximation computed for the system of balance laws. The numerical schemes have been validated making comparisons between the obtained numerical results and the experimental data for some physical experiments. The numerical results show a good agreement with the experimental data.

Key words: Sediment transport, Suspended load, Bed load, Finite volume method, Numerical simulation, Well-balanced schemes

CLC Number:

76-10

J. C. González-Aguirre, J. A. González-Vázquez, J. Alavez-Ramírez, R. Silva, M. E. Vázquez-Cendón. Numerical Simulation of Bed Load and Suspended Load Sediment Transport Using Well-Balanced Numerical Schemes[J]. Communications on Applied Mathematics and Computation, 2023, 5(2): 885-922.

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Numerical Simulation of Bed Load and Suspended Load Sediment Transport Using Well-Balanced Numerical Schemes

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