Paper Info
Title
A Stabilized Finite Volume Element Formulation for Sedimentation-Consolidation Processes.
Abstract
A model of sedimentation-consolidation processes in so-called clarifier-thickener units is given by a parabolic equation describing the evolution of the local solids concentration coupled with a version of the Stokes system for an incompressible fluid describing the motion of the mixture. In cylindrical coordinates, and if an axially symmetric solution is assumed, the original problem reduces to two space dimensions. This poses the difficulty that the subspaces for the construction of a numerical scheme involve weighted Sobolev spaces. A novel finite volume element method is introduced for the spatial discretization, where the velocity field and the solids concentration are discretized on two different dual meshes. The method is based on a stabilized discontinuous Galerkin formulation for the concentration field, and a multiscale stabilized pair of P-1-P-1 elements for velocity and pressure, respectively. Numerical experiments illustrate properties of the model and the satisfactory performance of the proposed method.
Year
DOI
Venue
2012
10.1137/110836559
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Keywords
Field
DocType
finite volume element method,axisymmetric formulation,sedimentation process,clarifier-thickener units
Discontinuous Galerkin method,Compressibility,Discretization,Mathematical optimization,Cylindrical coordinate system,Vector field,Mathematical analysis,Sobolev space,Axial symmetry,Mathematics,Parabola
Journal
Volume
Issue
ISSN
34
3
1064-8275
Citations 
PageRank 
References 
9
0.66
11
Authors
3
Name
Order
Citations
PageRank
Raimund Bürger1467.61
Ricardo Ruiz-Baier27713.60
Héctor Torres3161.95