Chapter, 2024

Discontinuous Galerkin spectral element method for continuous chromatography: Application to the Lumped Rate Model without pores

34th European Symposium on Computer Aided Process Engineering / 15th International Symposium on Process Systems Engineering 9780443288241, Pages 3325-3330

Editors:

Series: Computer Aided Chemical Engineering ISSN 2543-1331, 1570-7946, Volume 53, SIAM Review 59 1 2017, Pages 3325-3330

Publisher: Elsevier

DOI: 10.1016/b978-0-443-28824-1.50555-x

Contributors

Frandsen, Jesper 0000-0003-1046-2295 [1] Breuer, Jan Michael [2] Von Lieres, Eric 0000-0002-0309-8408 [2] Schmölder, Johannes [2] Huusom, Jakob Kjøbsted 0000-0002-1367-7235 [1] Gernaey, Krist Victor Bernard 0000-0002-0364-1773 [1] Abildskov, Jens 0000-0003-1187-8778 [1]

Affiliations

  1. [1] Technical University of Denmark
    2. [NORA names: DTU Technical University of Denmark; University; Denmark; Europe, EU; Nordic; OECD];
  2. [2] Forschungszentrum Jülich
    3. [NORA names: Germany; Europe, EU; OECD]

Abstract

This study presents CADET-Julia, an implementation of the Discontinuous Galerkin spectral element method (DGSEM) in Julia, applied to the Lumped Rate Model (LRM) and multi-component Langmuir isotherm for binary separation in both batch and simulated moving bed (SMB) operation. A comparative analysis was made of CADET-FV and CADET-DG, C++ implementations of finite volume and DGSEM found in CADET, respectively. For stiff systems operated in batch mode, CADET-FV, CADET-Julia and CADET-DG showed similar performance, however, for less stiff systems, CADET-Julia and CADET-DG were superior. For stiff systems in SMB operation, CADET-Julia was significantly faster than CADET-FV. CADET-DG could not be benchmarked at the current time.

Keywords

C++ implementation, Galerkin spectral element method, Julia, Langmuir isotherm, SMB, SMB operation, analysis, batch, batch mode, binary separation, cadets, chromatography, comparative analysis, continuous chromatography, discontinuous Galerkin spectral element method, element method, finite volume, implementation, isotherms, lump, method, mode, model, multi-component Langmuir isotherm, operation, performance, pore, rate model, separation, spectral element method, stiff systems, study, system, volume

Funders

  • European Commission

Data Provider: Digital Science

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