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2D granular flows with the μ(I) rheology and side walls friction: A well-balanced multilayer discretization

Acceso restringido 2D granular flows with the μ(I) rheology and side walls friction: A well-balanced multilayer discretization

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Autor: Fernández-Nieto, Enrique D.
Garres-Díaz, José
Mangeney, Anne
Narbona-Reina, Gladys
Departamento: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Fecha: 2018-03
Tipo de documento: Artículo
Resumen: We present here numerical modelling of granular flows with the rheology in confined channels. The contribution is twofold: (i) a model to approximate the Navier–Stokes equations with the rheology through an asymptotic analysis; under the hypothesis of a one-dimensional flow, this model takes into account side walls friction; (ii) a multilayer discretization following Fernández-Nieto et al. (2016) [20]. In this new numerical scheme, we propose an appropriate treatment of the rheological terms through a hydrostatic reconstruction which allows this scheme to be well-balanced and therefore to deal with dry areas. Based on academic tests, we first evaluate the influence of the width of the channel on the normal profiles of the downslope velocity thanks to the multilayer approach that is intrinsically able to describe changes from Bagnold to S-shaped (and vice versa) velocity profiles. We also check the well-balanced property of the proposed numerical scheme. We show that approximating sid...
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URI: https://hdl.handle.net/11441/71171

DOI: 10.1016/j.jcp.2017.11.038

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