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

A. B. Wilson, E. W. Jenkins

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Article number89
JournalComputational and Applied Mathematics
Volume39
Issue number2
DOIs
StatePublished - May 1 2020

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Keywords

  • Adsorption
  • Nonlinear fluid transport
  • Porous media
  • SUPG

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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