Shallow Water Moment Models for Bedload Transport Problems

Shallow Water Moment Models for Bedload Transport Problems

Year:    2021

Author:    José Garres-Díaz, Manuel J. Castro Díaz, Julian Koellermeier, Tomás Morales de Luna

Communications in Computational Physics, Vol. 30 (2021), Iss. 3 : pp. 903–941

Abstract

In this work a simple but accurate shallow model for bedload sediment transport is proposed. The model is based on applying the moment approach to the Shallow Water Exner model, making it possible to recover the vertical structure of the flow. This approach allows us to obtain a better approximation of the fluid velocity close to the bottom, which is the relevant velocity for the sediment transport. A general Shallow Water Exner moment model allowing for polynomial velocity profiles of arbitrary order is obtained. A regularization ensures hyperbolicity and easy computation of the eigenvalues. The system is solved by means of an adapted IFCP scheme proposed here. The improvement of this IFCP type scheme is based on the approximation of the eigenvalue associated to the sediment transport. Numerical tests are presented which deal with large and short time scales. The proposed model allows to obtain the vertical structure of the fluid, which results in a better description on the bedload transport of the sediment layer.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2020-0152

Communications in Computational Physics, Vol. 30 (2021), Iss. 3 : pp. 903–941

Published online:    2021-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    39

Keywords:    Shallow Water Exner model moment approach hyperbolic system finite volume method sediment transport.

Author Details

José Garres-Díaz

Manuel J. Castro Díaz

Julian Koellermeier

Tomás Morales de Luna

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