On the modelling of shallow turbidity flows

Abstract : In this study we investigate shallow turbidity density currents and underflows from mechanical point of view. We propose a simple hyperbolic model for such flows. On one hand, our model is based on very basic conservation principles. On the other hand, the turbulent nature of the flow is also taken into account through the energy dissipation mechanism. Moreover, the mixing with the pure water along with sediments entrainment and deposition processes are considered, which makes the problem dynamically interesting. One of the main advantages of our model is that it requires the specification of only two modeling parameters - the rate of turbulent dissipation and the rate of the pure water entrainment. Consequently, the resulting model turns out to be very simple and self-consistent. This model is validated against several experimental data and several special classes of solutions (such as travelling, self-similar and steady) are constructed. Unsteady simulations show that some special solutions are realized as asymptotic long time states of dynamic trajectories.
Liste complète des métadonnées


https://hal.archives-ouvertes.fr/hal-01514095
Contributeur : Denys Dutykh <>
Soumis le : mardi 25 avril 2017 - 16:28:23
Dernière modification le : vendredi 28 avril 2017 - 01:03:36

Fichiers

VL-DD-MG-Turbidity-2017.pdf
Fichiers produits par l'(les) auteur(s)

Licence


Distributed under a Creative Commons Paternité - Pas d'utilisation commerciale - Partage selon les Conditions Initiales 4.0 International License

Identifiants

  • HAL Id : hal-01514095, version 1
  • ARXIV : 1704.08024

Collections

Citation

Valery Liapidevskii, Denys Dutykh, Marguerite Gisclon. On the modelling of shallow turbidity flows. 60 pages, 12 figures, 1 table, 119 references. Other author's papers can be downloaded at http://.. 2017. <hal-01514095>

Partager

Métriques

Consultations de
la notice

80

Téléchargements du document

15