Repositorio de producción científica de la Universidad de Sevilla

A multilayer shallow model for dry granular ows with the (I)-rheology: application to granular collapse on erodible beds

Opened Access A multilayer shallow model for dry granular ows with the (I)-rheology: application to granular collapse on erodible beds

Citas

buscar en

Estadísticas
Icon
Exportar a
Autor: Fernández-Nieto, Enrique D.
Garrés-Díaz, J.
Mangeney, A.
Narbona-Reina, Gladys
Departamento: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Fecha: 2016
Publicado en: Journal of Fluid Mechanics, 798, 643-681.
Tipo de documento: Artículo
Resumen: In this work we present a multilayer shallow model to approximate the Navier–Stokes equations with the μ(I)μ(I)-rheology through an asymptotic analysis. The main advantages of this approximation are (i) the low cost associated with the numerical treatment of the free surface of the modelled flows, (ii) the exact conservation of mass and (iii) the ability to compute two-dimensional profiles of the velocities in the directions along and normal to the slope. The derivation of the model follows Fernández-Nieto et al. (J. Comput. Phys., vol. 60, 2014, pp. 408–437) and introduces a dimensional analysis based on the shallow flow hypothesis. The proposed first-order multilayer model fully satisfies a dissipative energy equation. A comparison with steady uniform Bagnold flow – with and without the sidewall friction effect – and laboratory experiments with a non-constant normal profile of the downslope velocity demonstrates the accuracy of the numerical model. Finally, by comparing the numerica...
[Ver más]
Cita: Fernández-Nieto, E.D., Garrés-Díaz, J., Mangeney, A. y Narbona-Reina, G. (2016). A multilayer shallow model for dry granular ows with the (I)-rheology: application to granular collapse on erodible beds. Journal of Fluid Mechanics, 798, 643-681.
Tamaño: 1.021Mb
Formato: PDF

URI: http://hdl.handle.net/11441/50740

DOI: 10.1017/jfm.2016.333

Mostrar el registro completo del ítem


Esta obra está bajo una Licencia Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internacional

Este registro aparece en las siguientes colecciones