dc.creator | Bouchut, François | es |
dc.creator | Delgado Sánchez, Juan Manuel | es |
dc.creator | Fernández Nieto, Enrique Domingo | es |
dc.creator | Mangeney, Anne | es |
dc.creator | Narbona Reina, Gladys | es |
dc.date.accessioned | 2022-03-21T10:16:26Z | |
dc.date.available | 2022-03-21T10:16:26Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Bouchut, F., Delgado Sánchez, J.M., Fernández Nieto, E.D., Mangeney, A. y Narbona Reina, G. (2022). A bed pressure correction of the friction term for depth-averaged granular flow models. Applied Mathematical Modelling, 106 (June 2022), 627-658. | |
dc.identifier.issn | 0307-904X | es |
dc.identifier.uri | https://hdl.handle.net/11441/131084 | |
dc.description.abstract | Depth-averaged models, such as the Savage-Hutter model with Coulomb or Pouliquen fric tion laws, do not in some cases preserve the physical threshold of motion. In particular, the
simulated granular mass can start to flow (or stay at rest) even if the slope angle of its free
surface is lower (or higher) than the repose angle of the granular material involved. The
problem is related to the hydrostatic pressure assumption, associated with the direction of
integration, which is orthogonal to a reference plane or a reference bottom. We propose
here an initial method to correct this misleading behavior. Firstly, we define a correction
of the friction term that accounts for the Jacobian of a change of coordinates, making it
possible to reproduce the physical threshold of motion and thus the solutions at rest. Sec ondly, we observe that the 3D model presented in [F. Bouchut, I. Ionescu, and A. Mangeney.
An analytic approach for the evolution of the static-flowing interface in viscoplastic granular
flows. Commun, Math. Sci., 14(8):2101–2126, 2016] verifies the physical thresholds of mo tion because it is based on a second order correction of the pressure valid for slow granu lar flows. The correction proposed here ensures that the model preserves, up to the second
order, the physical threshold of motion defined by the repose angle of the material. Sev eral numerical tests are presented to illustrate certain problems related to classical depth
averaged models and the remedial effect of the proposed correction, in particular through
comparisons with experimental data. We finally show that this correction is not exact far
from the starting and stopping phases of the granular avalanche and should be improved
by adding other second order terms in the pressure approximation | es |
dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades RTI2018- 096064-B-C22 | es |
dc.description.sponsorship | European Research Council ERC-CG-2013-PE10-617472 SLIDEQUAKES | es |
dc.format | application/pdf | es |
dc.format.extent | 32 | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Applied Mathematical Modelling, 106 (June 2022), 627-658. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Depth averaged | es |
dc.subject | Landslides | es |
dc.subject | Bed pressure | es |
dc.subject | Debris flows | es |
dc.title | A bed pressure correction of the friction term for depth-averaged granular flow models | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | RTI2018- 096064-B-C22 | es |
dc.relation.projectID | ERC-CG-2013-PE10-617472 SLIDEQUAKES | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0307904X22000531 | es |
dc.identifier.doi | 10.1016/j.apm.2022.01.034 | es |
dc.journaltitle | Applied Mathematical Modelling | es |
dc.publication.volumen | 106 | es |
dc.publication.issue | June 2022 | es |
dc.publication.initialPage | 627 | es |
dc.publication.endPage | 658 | es |
dc.contributor.funder | Ministerio de Ciencia, Innovación y Universidades (MICINN). España | es |
dc.contributor.funder | European Research Council (ERC) | es |