SUPG and discontinuity-capturing methods for coupled fluid mechanics and electrochemical transport problems

Pablo A. Kler, Lisandro D. Dalcin, Rodrigo R. Paz, Tayfun E. Tezduyar

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

Electrophoresis is the motion of charged particles relative to the surrounding liquid under the influence of an external electric field. This electrochemical transport process is used in many scientific and technological areas to separate chemical species. Modeling and simulation of electrophoretic transport enables a better understanding of the physicochemical processes developed during the electrophoretic separations and the optimization of various parameters of the electrophoresis devices and their performance. Electrophoretic transport is a multiphysics and multiscale problem. Mass transport, fluid mechanics, electric problems, and their interactions have to be solved in domains with length scales ranging from nanometers to centimeters. We use a finite element method for the computations. Without proper numerical stabilization, computation of coupled fluid mechanics, electrophoretic transport, and electric problems would suffer from spurious oscillations that are related to the high values of the local Péclet and Reynolds numbers and the nonzero divergence of the migration field. To overcome these computational challenges, we propose a stabilized finite element method based on the Streamline-Upwind/Petrov-Galerkin (SUPG) formulation and discontinuity-capturing techniques. To demonstrate the effectiveness of the stabilized formulation, we present test computations with 1D, 2D, and 3D electrophoretic transport problems of technological interest.

Original languageEnglish
Pages (from-to)171-185
Number of pages15
JournalComputational Mechanics
Volume51
Issue number2
DOIs
Publication statusPublished - 2013
Externally publishedYes

Fingerprint

Petrov-Galerkin
Fluid Mechanics
Fluid mechanics
Streamlines
Discontinuity
Electrophoresis
Finite element method
Charged particles
Multiscale Problems
Stabilized Finite Element Method
Mass Transport
Formulation
Transport Processes
Multiphysics
Reynolds number
Mass transfer
Stabilization
Electric fields
Length Scale
External Field

Keywords

  • Discontinuity capturing
  • Electrochemical transport
  • Electrophoresis
  • Finite element computation
  • Fluid mechanics
  • SUPG stabilization

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Mechanical Engineering
  • Ocean Engineering
  • Applied Mathematics
  • Computational Mathematics

Cite this

SUPG and discontinuity-capturing methods for coupled fluid mechanics and electrochemical transport problems. / Kler, Pablo A.; Dalcin, Lisandro D.; Paz, Rodrigo R.; Tezduyar, Tayfun E.

In: Computational Mechanics, Vol. 51, No. 2, 2013, p. 171-185.

Research output: Contribution to journalArticle

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