A bed pressure correction of the friction term for depth-averaged granular flow models

نویسندگان

چکیده

Depth-averaged models, such as the Savage-Hutter model with Coulomb or Pouliquen friction laws, do not in some cases preserve physical threshold of motion. In particular, simulated granular mass can start to flow (or stay at rest) even if slope angle its free surface is lower higher) than repose material involved. The problem related hydrostatic pressure assumption, associated direction integration, which orthogonal a reference plane bottom. We propose here an initial method correct this misleading behavior. Firstly, we define correction term that accounts for Jacobian change coordinates, making it possible reproduce motion and thus solutions rest. Secondly, observe 3D presented [F. Bouchut, I. Ionescu, A. Mangeney. An analytic approach evolution static-flowing interface viscoplastic flows. Commun, Math. Sci., 14(8):2101–2126, 2016] verifies thresholds because based on second order valid slow proposed ensures preserves, up order, defined by material. Several numerical tests are illustrate certain problems classical depth averaged models remedial effect correction, particular through comparisons experimental data. finally show exact far from starting stopping phases avalanche should be improved adding other terms approximation.

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ژورنال

عنوان ژورنال: Applied Mathematical Modelling

سال: 2022

ISSN: ['1872-8480', '0307-904X']

DOI: https://doi.org/10.1016/j.apm.2022.01.034