Topical Problems of Fluid Mechanics


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Institute of Thermomechanics AS CR, v.v.i. CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics MIO Université du Sud Toulon Var - AMU - CNRS - IRD Czech Pilot centre ERCOFTAC
Discrete Duality Finite Volume Applied to Soil Erosion

Lakhlili J., Galusinski C., Golay F.

Abstract:
This study focuses on the numerical modeling of the surface erosion occurring at a uid/soil interface undergoing a ow process. Following a previous work [3], the balance equations with jump relations are used and a penalization procedure is used to compute Navier-Stokes equations around obstacles, with a fictitious domain method, in order to avoid body-fitted unstructured meshes. The water/soil interface evolution is described with a Level Set function coupled to a threshold erosion law. In order to allow adaptive mesh refinement, we develop a Discrete Duality Finite Volume scheme (DDFV). The ability of the model to predict the interfacial erosion of soils is confirmed by presenting several simulations.

Keywords:
Interfacial erosion, Incompressible flow, Navier-Stokes, Fictitious domains, Discrete Duality Finite Volume, Adaptive mesh refinement, Level Set
Fulltext: PDF
DOI: No Doi
In Proceedings Topical Problems of Fluid Mechanics 2015, Prague, 2015 Edited by David Šimurda and Tomáš Bodnár, pp. 99-104
ISBN 978-80-87012-55-0 (Print)
ISSN 2336-5781 (Print)
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