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 - 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 -