Numerical Simulation of Solid Phase Adsorption Models Using Time-Integrated, Up-winded Finite Element Strategies

Anastasia Bridner Wilson, J. Wang, E. W. Jenkins, S. M. Husson

Research output: Contribution to journalArticle


The effectiveness of bio-pharmaceuticals for the treatment of a wide range of diseases has led to increased research to improve bio-separations processes, including the use of high-capacity ion-exchange membranes. In this paper, we develop and analyze a numerical scheme for approximating solutions to mathematical models associated with advection-dominated, solid phase adsorption processes. The scheme utilizes streamline-up-winded continuous Galerkin finite elements to discretize the transport equation. Temporal integration is used to handle the nonlinear adsorption term. We show solvability of the up-winded discrete scheme and provide numerical verification of expected convergence rates. We compare numerical results with experimental data and demonstrate the effects of a variety of flow profiles on the model results. We also show up-winding is needed to produce stable and accurate results for these models, especially for coarse meshes.

Original languageEnglish (US)
JournalComputing in Science and Engineering
Publication statusAccepted/In press - Jan 1 2018


ASJC Scopus subject areas

  • Computer Science(all)
  • Engineering(all)

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