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- W2897100022 abstract "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." @default.
- W2897100022 created "2018-10-26" @default.
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- W2897100022 date "2020-05-01" @default.
- W2897100022 modified "2023-09-25" @default.
- W2897100022 title "Numerical Simulation of Solid Phase Adsorption Models Using Time-Integrated, Up-Winded Finite Element Strategies" @default.
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- W2897100022 doi "https://doi.org/10.1109/mcse.2018.2873941" @default.
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