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Journal Articles Computer Methods in Applied Mechanics and Engineering Year : 2010

Numerical modelling of interfacial soil erosion with viscous incompressible flows

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Abstract

The aim of this study is to develop a numerical model for simulating surface erosion occurring at a fluid/soil interface subject to a flow process. Balance equations with jump relations are used. A penalization procedure including a fictitious domain method is used to compute the Stokes flow around obstacles, in order to avoid body-fitted unstructured meshes and instead use fast and efficient finite volume approximations on Cartesian meshes. The evolution of the water/soil interface is described by using a level set function. The ability of the model to predict the interfacial erosion of soils is confirmed by several numerical simulations.
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Dates and versions

hal-00979061 , version 1 (15-04-2014)

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Frederic Golay, Damien Lachouette, Stéphane Bonelli, Pierre Seppecher. Numerical modelling of interfacial soil erosion with viscous incompressible flows. Computer Methods in Applied Mechanics and Engineering, 2010, 200 (1-4), pp.383-391. ⟨10.1016/j.cma.2010.09.002⟩. ⟨hal-00979061⟩
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