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

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

Year:    2017

Author:    T. Morales de Luna, E. D. Fernández Nieto, M. J. Castro Díaz

Communications in Computational Physics, Vol. 22 (2017), Iss. 5 : pp. 1439–1485

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.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2016-0215

Communications in Computational Physics, Vol. 22 (2017), Iss. 5 : pp. 1439–1485

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    47

Keywords:   

Author Details

T. Morales de Luna

E. D. Fernández Nieto

M. J. Castro Díaz

  1. A global satellite survey of density plumes at river mouths and at other environments: Plume configurations, external controls, and implications for deep-water sedimentation

    SHANMUGAM, G

    Petroleum Exploration and Development, Vol. 45 (2018), Iss. 4 P.640

    https://doi.org/10.1016/S1876-3804(18)30069-7 [Citations: 22]
  2. Reply to discussions by Zavala (2019) and by Van Loon, Hüeneke, and Mulder (2019) on Shanmugam, G. (2018, Journal of Palaeogeography, 7 (3): 197–238): ‘the hyperpycnite problem’

    Shanmugam, G.

    Journal of Palaeogeography, Vol. 8 (2019), Iss. 1

    https://doi.org/10.1186/s42501-019-0047-1 [Citations: 6]
  3. A Second-Order Well-Balanced Finite Volume Scheme for the Multilayer Shallow Water Model with Variable Density

    Guerrero Fernández, Ernesto | Castro-Díaz, Manuel Jesús | Morales de Luna, Tomás

    Mathematics, Vol. 8 (2020), Iss. 5 P.848

    https://doi.org/10.3390/math8050848 [Citations: 9]
  4. Layered shallow water equations: Spatiotemporally varying layer ratios with specific adaptation to wet/dry interfaces

    Bhat, Naveed Ul Hassan | Pahar, Gourabananda

    International Journal for Numerical Methods in Fluids, Vol. 96 (2024), Iss. 4 P.397

    https://doi.org/10.1002/fld.5249 [Citations: 2]
  5. A general vertical decomposition of Euler equations: Multilayer-moment models

    Garres-Díaz, J. | Escalante, C. | Morales de Luna, T. | Castro Díaz, M.J.

    Applied Numerical Mathematics, Vol. 183 (2023), Iss. P.236

    https://doi.org/10.1016/j.apnum.2022.09.004 [Citations: 4]
  6. Flexible and efficient discretizations of multilayer models with variable density

    Garres-Díaz, José | Bonaventura, Luca

    Applied Mathematics and Computation, Vol. 402 (2021), Iss. P.126097

    https://doi.org/10.1016/j.amc.2021.126097 [Citations: 2]
  7. The hyperpycnite problem

    Shanmugam, G.

    Journal of Palaeogeography, Vol. 7 (2018), Iss. 1

    https://doi.org/10.1186/s42501-018-0001-7 [Citations: 28]
  8. Reference Module in Earth Systems and Environmental Sciences

    Slides, Slumps, Debris Flows, Turbidity Currents, and Bottom Currents: Implications ☆

    Shanmugam, G.

    2018

    https://doi.org/10.1016/B978-0-12-409548-9.04380-3 [Citations: 16]
  9. An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density

    Fernández, E. Guerrero | Díaz, M. J. Castro | Dumbser, M. | de Luna, T. Morales

    Journal of Scientific Computing, Vol. 90 (2022), Iss. 1

    https://doi.org/10.1007/s10915-021-01734-2 [Citations: 10]
  10. Mass Transport, Gravity Flows, and Bottom Currents

    Bibliography

    2021

    https://doi.org/10.1016/B978-0-12-822576-9.00019-9 [Citations: 0]