Analysis of a fully implicit SUPG scheme for a filtration and separation model

We describe and analyze a streamline-upwinded, Petrov–Galerkin (SUPG) method for numerical simulation of transport models with adsorption kinetics. Specifically, we rewrite the adsorption term to pose the problem using a single mass accumulation term for the liquid phase concentration. The rate of a...

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Bibliographic Details
Published inComputational & applied mathematics Vol. 39; no. 2
Main Authors Wilson, A. B., Jenkins, E. W.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.05.2020
Springer Nature B.V
Subjects
Accumulation
Adsorption
Algorithms
Applications of Mathematics
Applied physics
Computational mathematics
Computational Mathematics and Numerical Analysis
Computer simulation
Error analysis
Galerkin method
Liquid phases
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Porous media
Adsorption
76S05
65M60
Nonlinear fluid transport
65M12
76M10
SUPG
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Summary:We describe and analyze a streamline-upwinded, Petrov–Galerkin (SUPG) method for numerical simulation of transport models with adsorption kinetics. Specifically, we rewrite the adsorption term to pose the problem using a single mass accumulation term for the liquid phase concentration. The rate of adsorption is used in the nonlinear coefficient for the mass accumulation. We use streamline upwinding to stabilize the advection-dominated applications we consider. We provide a priori error analysis verified by numerical results, and we provide additional numerical results demonstrating the usefulness of our scheme. We consider a variety of adsorption model parameters and describe the performance of our algorithm in these cases.
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-020-1085-0