TY - JOUR
T1 - Numerical Simulation of Solid Phase Adsorption Models Using Time-Integrated, Up-Winded Finite Element Strategies
AU - Wilson, Anastasia Bridner
AU - Wang, J.
AU - Jenkins, E. W.
AU - Husson, S. M.
N1 - Funding Information:
The authors are grateful to Professor V. Ervin for his insight into the analysis. S. M. Husson and J. Wang wish to acknowledge the National Science Foundation for financial support under NSF award CBET-1159622.
Publisher Copyright:
© 1999-2011 IEEE.
PY - 2020/5/1
Y1 - 2020/5/1
N2 - 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.
AB - 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.
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U2 - 10.1109/MCSE.2018.2873941
DO - 10.1109/MCSE.2018.2873941
M3 - Article
AN - SCOPUS:85054607680
SN - 1521-9615
VL - 22
SP - 64
EP - 78
JO - Computing in Science and Engineering
JF - Computing in Science and Engineering
IS - 3
M1 - 8489888
ER -