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  A discontinuous Galerkin method to solve chromatographic models

Javeed, S., Qamar, S., Seidel-Morgenstern, A., & Warnecke, G. (2011). A discontinuous Galerkin method to solve chromatographic models. Journal of Chromatography A, 1218(40), 7137-7146. doi:10.1016/j.chroma.2011.08.005.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-8DC5-5 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0014-B3D1-9
Genre: Journal Article

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 Creators:
Javeed, S.1, 2, Author              
Qamar, S.2, 3, Author              
Seidel-Morgenstern, A.2, 4, Author              
Warnecke, G.4, Author
Affiliations:
1International Max Planck Research School (IMPRS), Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society, ou_1738143              
2Physical and Chemical Foundations of Process Engineering, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society, ou_1738150              
3COMSATS Institute of Information Technology, Dep. of Mathematics, Islamabad, Pakistan, persistent:22              
4Otto-von-Guericke-Universität Magdeburg, External Organizations, ou_1738156              

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Free keywords: Chromatography; Linear and nonlinear models; Isothermal non-reactive and reactive models; Discontinuous Galerkin method; Discontinuous solutions
 Abstract: This article proposes a discontinuous Galerkin method for solving model equations describing isothermal non-reactive and reactive chromatography. The models contain a system of convection–diffusion–reaction partial differential equations with dominated convective terms. The suggested method has capability to capture sharp discontinuities and narrow peaks of the elution profiles. The accuracy of the method can be improved by introducing additional nodes in the same solution element and, hence, avoids the expansion of mesh stencils normally encountered in the high order finite volume schemes. Thus, the method can be uniformly applied up to boundary cells without loosing accuracy. The method is robust and well suited for large-scale time-dependent simulations of chromatographic processes where accuracy is highly demanding. Several test problems of isothermal non-reactive and reactive chromatographic processes are presented. The results of the current method are validated against flux-limiting finite volume schemes. The numerical results verify the efficiency and accuracy of the investigated method. The proposed scheme gives more resolved solutions than the high resolution finite volume schemes. © 2011 Elsevier B.V. All rights reserved. [accessed September 22nd 2011]

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Language(s): eng - English
 Dates: 2011
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: eDoc: 570839
DOI: 10.1016/j.chroma.2011.08.005
Other: 58/11
 Degree: -

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Title: Journal of Chromatography A
Source Genre: Journal
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Publ. Info: Amsterdam : Elsevier
Pages: - Volume / Issue: 1218 (40) Sequence Number: - Start / End Page: 7137 - 7146 Identifier: ISSN: 0021-9673
CoNE: https://pure.mpg.de/cone/journals/resource/954925527837_1