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Derivation of a Multilayer Approach to Model Suspended Sediment Transport: Application to Hyperpycnal and Hypopycnal Plumes

Part of: Hyperbolic equations and systems Equilibrium (steady-state) problems Numerical methods

Published online by Cambridge University Press:  31 October 2017

T. Morales de Luna ,
E.D. Fernández Nieto  and
M. J. Castro Díaz
T. Morales de Luna*
Affiliation:
Dpto. de Matemáticas. Universidad de Córdoba. Campus de Rabanales. 14071 Córdoba, Spain
E.D. Fernández Nieto*
Affiliation:
Dpto. Matemática Aplicada I. E.T.S. Arquitectura. Universidad de Sevilla. Avda. Reina Mercedes N.2. 41012 Sevilla, Spain
M. J. Castro Díaz*
Affiliation:
Dpto. de Análisis Matemático. Facultad de Ciencias. Universidad de Málga. Campus de Teatinos, s/n. 29071 Málaga, Spain
*
*Corresponding author. Email addresses:tomas.morales@uco.es(T. Morales), edofer@us.es(E. D. Fernández), castro@anamat.cie.uma.es(M. J. Castro)
*Corresponding author. Email addresses:tomas.morales@uco.es(T. Morales), edofer@us.es(E. D. Fernández), castro@anamat.cie.uma.es(M. J. Castro)
*Corresponding author. Email addresses:tomas.morales@uco.es(T. Morales), edofer@us.es(E. D. Fernández), castro@anamat.cie.uma.es(M. J. Castro)
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Abstract

We propose a multi-layer approach to simulate hyperpycnal and hypopycnal plumes in flows with free surface. The model allows to compute the vertical profile of the horizontal and the vertical components of the velocity of the fluid flow. The model can describe as well the vertical profile of the sediment concentration and the velocity components of each one of the sediment species that form the turbidity current. To do so, it takes into account the settling velocity of the particles and their interaction with the fluid. This allows to better describe the phenomena than a single layer approach. It is in better agreement with the physics of the problem and gives promising results. The numerical simulation is carried out by rewriting the multilayer approach in a compact formulation, which corresponds to a system with nonconservative products, and using path-conservative numerical scheme. Numerical results are presented in order to show the potential of the model.

Keywords

Sediment transport modellingmultilayer approachturbidity currentsshallow water models

MSC classification

Secondary: 74S10: Finite volume methods 35L60: Nonlinear first-order hyperbolic equations 35L65: Conservation laws 74G15: Numerical approximation of solutions
Type
Research Article
Information
Communications in Computational Physics , Volume 22 , Issue 5 , November 2017 , pp. 1439 - 1485
Copyright
Copyright © Global-Science Press 2017 

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Footnotes

Communicated by Boo-Cheong Khoo

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