Numerical modelling of interfacial soil erosion with viscous incompressible flows

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...

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Vydáno v:Computer methods in applied mechanics and engineering Ročník 200; číslo 1-4; s. 383 - 391
Hlavní autoři: Golay, Frédéric, Lachouette, Damien, Bonelli, Stéphane, Seppecher, Pierre
Médium: Journal Article
Jazyk:angličtina
Vydáno: Kidlington Elsevier B.V 01.01.2011
Elsevier
Témata:
Applied sciences
Buildings. Public works
Computational fluid dynamics
Computer simulation
Engineering Sciences
Erosion
Exact sciences and technology
Fictitious domain
Finite element method
Finite volume
Fluid dynamics
Fluid flow
Fundamental areas of phenomenology (including applications)
General theory
Geotechnics
Interface
Level set
Mathematical analysis
Mathematical models
Mathematics
Mechanics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis. Scientific computation
Penalization
Physics
Sciences and techniques of general use
Soil (material)
Water effect, drainage, ground water lowering, filtration
Fictitious domain
Finite volume
Penalization
Level set
Interface
Erosion
Unstructured mesh
Obstacle
Viscous fluid
Solid solid interface
Contour line
Finite volume method
Modeling
Soil mechanics
Soils
Incompressible flow
Incompressible fluid
Fictitious domain method
Mesh generation
Stokes flow
Viscous flow
ISSN:0045-7825, 1879-2138
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Popis
Shrnutí: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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ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2010.09.002