Numerical solution of a multidimensional sedimentation problem using finite volume-element methods

Ricardo Ruiz-Baier, Héctor Torres

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14 Citations (Scopus)

Abstract

We are interested in the reliable simulation of the sedimentation of monodisperse suspensions under the influence of body forces. At the macroscopic level, the complex interaction between the immiscible fluid and the sedimentation of a compressible phase may be governed by the Navier-Stokes equations coupled to a nonlinear advection-diffusion-reaction equation for the local solids concentration. A versatile and effective finite volume element (FVE) scheme is proposed, whose formulation relies on a stabilized finite element (FE) method with continuous piecewise linear approximation for velocity, pressure and concentration. Some numerical simulations in two and three spatial dimensions illustrate the features of the present FVE method, suggesting their applicability in a wide range of problems.

Original languageEnglish
Pages (from-to)280-291
Number of pages12
JournalApplied Numerical Mathematics
Volume95
DOIs
Publication statusPublished - Sep 2015
Externally publishedYes

Keywords

  • Finite volume element method
  • Inclined channels
  • Navier-Stokes equations
  • Sedimentation-consolidation process

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