A Discontinuous-Galerkin Finite-Element Method for Simulation of Packed Bed Chromatographic Processes

A. Horsholt, L. H. Christiansen, K. Meyer, J. K. Huusom, J. B. Jorgensen

Research output: Contribution to journalJournal articleResearchpeer-review

77 Downloads (Pure)

Abstract

Packed bed chromatography is an important unit operation for purification of product molecules in biopharmaceutical processes. Packed bed chromatographic processes are modeled as advection-diffusion-reaction partial differential equations. The advection term strongly dominates the diffusion term. Therefore, specialized numerical methods must be used for efficient simulation of packed bed chromatographic processes. In this paper, we use a discontinuous-Galerkin method on finite-elements for spatial discretization and low storage explicit Runge-Kutta (LSERK) methods for numerical solution of the resulting system of differential equations. We study the numerical solution of deterministic and stochastic models of packed bed chromatographic processes. The stochastic model and its corresponding numerical solution constitute the first step toward systematic monitoring, fault detection, and optimal predictive control of chromatographic processes. It is also an essential ingredient in uncertainty quantification for efficient and robust design and operation of chromatographic processes. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
Original languageEnglish
JournalIFAC-PapersOnLine
Volume52
Issue number1
Pages (from-to)346-351
ISSN2405-8963
DOIs
Publication statusPublished - 2019
Event12th IFAC Symposium on Dynamics and Control of Process Systems - Jurerê Beach Village Hotel, Florianópolis , Brazil
Duration: 23 Apr 201926 Apr 2019
Conference number: 12
https://dycopscab2019.sites.ufsc.br/

Conference

Conference12th IFAC Symposium on Dynamics and Control of Process Systems
Number12
LocationJurerê Beach Village Hotel
CountryBrazil
CityFlorianópolis
Period23/04/201926/04/2019
Internet address

Keywords

  • Chromatography
  • Mathematical Modeling
  • Numerical Simulation
  • Biotechnology

Cite this

@article{97903d327d404d06abd19d0e07d97d26,
title = "A Discontinuous-Galerkin Finite-Element Method for Simulation of Packed Bed Chromatographic Processes",
abstract = "Packed bed chromatography is an important unit operation for purification of product molecules in biopharmaceutical processes. Packed bed chromatographic processes are modeled as advection-diffusion-reaction partial differential equations. The advection term strongly dominates the diffusion term. Therefore, specialized numerical methods must be used for efficient simulation of packed bed chromatographic processes. In this paper, we use a discontinuous-Galerkin method on finite-elements for spatial discretization and low storage explicit Runge-Kutta (LSERK) methods for numerical solution of the resulting system of differential equations. We study the numerical solution of deterministic and stochastic models of packed bed chromatographic processes. The stochastic model and its corresponding numerical solution constitute the first step toward systematic monitoring, fault detection, and optimal predictive control of chromatographic processes. It is also an essential ingredient in uncertainty quantification for efficient and robust design and operation of chromatographic processes. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.",
keywords = "Chromatography, Mathematical Modeling, Numerical Simulation, Biotechnology",
author = "A. Horsholt and Christiansen, {L. H.} and K. Meyer and Huusom, {J. K.} and Jorgensen, {J. B.}",
year = "2019",
doi = "10.1016/j.ifacol.2019.06.086",
language = "English",
volume = "52",
pages = "346--351",
journal = "IFAC-PapersOnLine",
issn = "2405-8963",
publisher = "Elsevier",
number = "1",

}

A Discontinuous-Galerkin Finite-Element Method for Simulation of Packed Bed Chromatographic Processes. / Horsholt, A.; Christiansen, L. H.; Meyer, K.; Huusom, J. K.; Jorgensen, J. B.

In: IFAC-PapersOnLine, Vol. 52, No. 1, 2019, p. 346-351.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - A Discontinuous-Galerkin Finite-Element Method for Simulation of Packed Bed Chromatographic Processes

AU - Horsholt, A.

AU - Christiansen, L. H.

AU - Meyer, K.

AU - Huusom, J. K.

AU - Jorgensen, J. B.

PY - 2019

Y1 - 2019

N2 - Packed bed chromatography is an important unit operation for purification of product molecules in biopharmaceutical processes. Packed bed chromatographic processes are modeled as advection-diffusion-reaction partial differential equations. The advection term strongly dominates the diffusion term. Therefore, specialized numerical methods must be used for efficient simulation of packed bed chromatographic processes. In this paper, we use a discontinuous-Galerkin method on finite-elements for spatial discretization and low storage explicit Runge-Kutta (LSERK) methods for numerical solution of the resulting system of differential equations. We study the numerical solution of deterministic and stochastic models of packed bed chromatographic processes. The stochastic model and its corresponding numerical solution constitute the first step toward systematic monitoring, fault detection, and optimal predictive control of chromatographic processes. It is also an essential ingredient in uncertainty quantification for efficient and robust design and operation of chromatographic processes. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

AB - Packed bed chromatography is an important unit operation for purification of product molecules in biopharmaceutical processes. Packed bed chromatographic processes are modeled as advection-diffusion-reaction partial differential equations. The advection term strongly dominates the diffusion term. Therefore, specialized numerical methods must be used for efficient simulation of packed bed chromatographic processes. In this paper, we use a discontinuous-Galerkin method on finite-elements for spatial discretization and low storage explicit Runge-Kutta (LSERK) methods for numerical solution of the resulting system of differential equations. We study the numerical solution of deterministic and stochastic models of packed bed chromatographic processes. The stochastic model and its corresponding numerical solution constitute the first step toward systematic monitoring, fault detection, and optimal predictive control of chromatographic processes. It is also an essential ingredient in uncertainty quantification for efficient and robust design and operation of chromatographic processes. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

KW - Chromatography

KW - Mathematical Modeling

KW - Numerical Simulation

KW - Biotechnology

U2 - 10.1016/j.ifacol.2019.06.086

DO - 10.1016/j.ifacol.2019.06.086

M3 - Journal article

VL - 52

SP - 346

EP - 351

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8963

IS - 1

ER -