High-Order Approximation of Chromatographic Models using a Nodal Discontinuous Galerkin Approach

Kristian Meyer*, Jakob Kjøbsted Huusom, Jens Abildskov

*Corresponding author for this work

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Abstract

A nodal high-order discontinuous Galerkin finite element (DG-FE) method is presented to solve the equilibrium-dispersive model of chromatography with arbitrary high-order accuracy in space. The method can be considered a high-order extension to the total variation diminishing (TVD) framework used by Javeed et al. (2011a,b, 2013) with an efficient quadrature-free implementation. The framework is used to simulate linear and non-linear multicomponent chromatographic systems. The results confirm arbitrary high-order accuracy and demonstrate the potential for accuracy and speed-up gains obtainable by switching from low-order methods to high-order methods. The results reproduce an analytical solution and are in excellent agreement with numerical reference solutions already published in the literature.
Original languageEnglish
JournalComputers & Chemical Engineering
Volume109
Pages (from-to)68-76
ISSN0098-1354
DOIs
Publication statusPublished - 2018

Keywords

  • High-order
  • orderDiscontinuous Galerkin finite element method
  • Liquid chromatography
  • Equilibrium-dispersive model
  • Linear and nonlinear isotherm

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