A multiresolution method for the simulation of sedimentation in inclined channels

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Serval ID
serval:BIB_7CDD1D52B416
Type
Article: article from journal or magazin.
Collection
Publications
Title
A multiresolution method for the simulation of sedimentation in inclined channels
Journal
International Journal of Numerical Analysis and Modeling
Author(s)
Bürger R., Ruiz-Baier R., Schneider K., Torres H.
ISSN-L
1705-5105
Publication state
Published
Issued date
2012
Peer-reviewed
Oui
Volume
9
Number
3
Pages
479-504
Language
english
Abstract
An adaptive multiresolution scheme is proposed for the
numerical solution of a spatially two-dimensional model
of sedimentation of suspensions of small solid particles
dispersed in a viscous fluid. This model consists in a
version of the Stokes equations for incompressible fluid
flow coupled with a hyperbolic conservation law for the
local solids concentration. We study the process in an
inclined, rectangular closed vessel, a configuration that
gives rise a well-known increase of settling rates
(compared with a vertical vessel) known as the "Boycott
effect". Sharp fronts and discontinuities in the
concentration field are typical features of sedimentation
phenomena. This solution behavior calls for locally
refined meshes to concentrate computational effort on
zones of strong variation. The spatial discretization
presented herein is naturally based on a finite volume
(FV) formulation for the Stokes problem including a
pressure stabilization technique, while a Godunov-type
scheme endowed with a fully adaptive multiresolution (MR)
technique is applied to capture the evolution of the
concentration field, which in addition induces an
important speed-up of CPU time and savings in memory
requirements. Numerical simulations illustrate that the
proposed scheme is robust and allows for substantial
reductions in computational effort while the computations
remain accurate and stable.
Keywords
Two-dimensional sedimentation, transport-flow coupling, Boycott effect, space adaptivity, multiresolution, analysis, finite volume approximations
Create date
02/07/2013 10:54
Last modification date
03/03/2018 18:38
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