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dc.creatorBouchut, François
dc.creatorFernández Nieto, Enrique Domingo
dc.creatorMangeney, Anne
dc.creatorLagreé, P.-Y.
dc.date.accessioned2015-12-18T12:16:19Z
dc.date.available2015-12-18T12:16:19Z
dc.date.issued2008
dc.identifier.issn1619-6937es
dc.identifier.urihttp://hdl.handle.net/11441/32093
dc.description.abstractIn this work, we study the modeling of one-dimensional avalanche flows made of a moving layer over a static base, where the interface between the two can be time dependent. We propose a general model, obtained by looking for an approximate solution with constant velocity profile to the incompressible Euler equations. This model has an energy dissipation equation that is consistent with the depth integrated energy equation of the Euler system. It has physically relevant steady state solutions, and, for constant slope, it gives a particular exact solution to the incompressible hydrostatic Euler equations. Then, we propose a simplified model, for which the energy conservation holds only up to third-order terms. Its associated eigenvalues depend on the mass exchange velocity between the static and moving layers. We show that a simplification used in some previously proposed models gives a non-consistent energy equation. Our models do not use, nor provide, any equation for the moving interface, thus other arguments have to be used in order to close the system. With special assumptions, and in particular small velocity, we can nevertheless obtain an equation for the evolution of the interface. Furthermore, the unknown parameters of the model proposed by Bouchaud et al. (J Phys Paris I 4,1383–1410, 1994) can be derived. For the quasi-stationary case we compare and discuss the equation for the moving interface with Khakhar’s model (J Fluid Mech 441,225–264, 2001).es
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherSpringeres
dc.relation.ispartofActa mechanica, 198, pp.181-208es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleOn new erosion models of Savage-Hutter type for avalancheses
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/acceptedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)es
dc.relation.publisherversionDOI 10.1007/s00707-007-0534-9es
dc.identifier.doihttp://dx.doi.org/10.1007/s00707-007-0534-9es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/32093

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