Novel flux approximation schemes for systems of coupled advection-diffusion-reaction equations

Jan van Dijk; Robert A.M. van Gestel; Chris E.M. Schoutrop; Jan H.M. ten Thije Boonkkamp

doi:10.1007/978-3-030-55874-1_30

Novel flux approximation schemes for systems of coupled advection-diffusion-reaction equations

Jan van Dijk, Robert A.M. van Gestel, Chris E.M. Schoutrop, Jan H.M. ten Thije Boonkkamp

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

Abstract

The physical modeling of transport in multi-component mixtures results in systems of coupled equations for the mass fractions. This contribution discusses the mathematical structure of such transport systems and presents a novel approximation scheme for the associated mass fluxes. The scheme respects the coupled nature of the equations and allows for a linearized source term. An illustrative example is presented.

Original language	English
Title of host publication	Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference
Subtitle of host publication	European Conference, Egmond aan Zee, The Netherlands, September 30 - October 4
Editors	Fred J. Vermolen, Cornelis Vuik
Place of Publication	Cham
Publisher	Springer
Pages	313 - 321
Number of pages	9
ISBN (Electronic)	978-3-030-55874-1
ISBN (Print)	978-3-030-55873-4, 978-3-030-55876-5
DOIs	https://doi.org/10.1007/978-3-030-55874-1_30
Publication status	Published - 2021
Event	European Conference on Numerical Mathematics and Advanced Applications: ENUMATH 2019 - Hotel Zuiderduin, Egmond aan Zee, Netherlands Duration: 30 Sept 2019 → 4 Oct 2019 https://www.enumath2019.eu/

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	139
ISSN (Print)	1439-7358
ISSN (Electronic)	2197-7100

Conference

Conference	European Conference on Numerical Mathematics and Advanced Applications
Abbreviated title	ENUMATH 2019
Country/Territory	Netherlands
City	Egmond aan Zee
Period	30/09/19 → 4/10/19
Internet address	https://www.enumath2019.eu/

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10.1007/978-3-030-55874-1_30

Cite this

van Dijk, J., van Gestel, R. A. M., Schoutrop, C. E. M., & ten Thije Boonkkamp, J. H. M. (2021). Novel flux approximation schemes for systems of coupled advection-diffusion-reaction equations. In F. J. Vermolen, & C. Vuik (Eds.), Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference: European Conference, Egmond aan Zee, The Netherlands, September 30 - October 4 (pp. 313 - 321). (Lecture Notes in Computational Science and Engineering; Vol. 139). Springer. https://doi.org/10.1007/978-3-030-55874-1_30

van Dijk, Jan ; van Gestel, Robert A.M. ; Schoutrop, Chris E.M. et al. / Novel flux approximation schemes for systems of coupled advection-diffusion-reaction equations. Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference: European Conference, Egmond aan Zee, The Netherlands, September 30 - October 4. editor / Fred J. Vermolen ; Cornelis Vuik. Cham : Springer, 2021. pp. 313 - 321 (Lecture Notes in Computational Science and Engineering).

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abstract = "The physical modeling of transport in multi-component mixtures results in systems of coupled equations for the mass fractions. This contribution discusses the mathematical structure of such transport systems and presents a novel approximation scheme for the associated mass fluxes. The scheme respects the coupled nature of the equations and allows for a linearized source term. An illustrative example is presented.",

author = "{van Dijk}, Jan and {van Gestel}, {Robert A.M.} and Schoutrop, {Chris E.M.} and {ten Thije Boonkkamp}, {Jan H.M.}",

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booktitle = "Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference",

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van Dijk, J, van Gestel, RAM, Schoutrop, CEM & ten Thije Boonkkamp, JHM 2021, Novel flux approximation schemes for systems of coupled advection-diffusion-reaction equations. in FJ Vermolen & C Vuik (eds), Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference: European Conference, Egmond aan Zee, The Netherlands, September 30 - October 4. Lecture Notes in Computational Science and Engineering, vol. 139, Springer, Cham, pp. 313 - 321, European Conference on Numerical Mathematics and Advanced Applications, Egmond aan Zee, Netherlands, 30/09/19. https://doi.org/10.1007/978-3-030-55874-1_30

Novel flux approximation schemes for systems of coupled advection-diffusion-reaction equations. / van Dijk, Jan; van Gestel, Robert A.M.; Schoutrop, Chris E.M. et al.
Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference: European Conference, Egmond aan Zee, The Netherlands, September 30 - October 4. ed. / Fred J. Vermolen; Cornelis Vuik. Cham: Springer, 2021. p. 313 - 321 (Lecture Notes in Computational Science and Engineering; Vol. 139).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AB - The physical modeling of transport in multi-component mixtures results in systems of coupled equations for the mass fractions. This contribution discusses the mathematical structure of such transport systems and presents a novel approximation scheme for the associated mass fluxes. The scheme respects the coupled nature of the equations and allows for a linearized source term. An illustrative example is presented.

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SN - 978-3-030-55876-5

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van Dijk J, van Gestel RAM, Schoutrop CEM, ten Thije Boonkkamp JHM. Novel flux approximation schemes for systems of coupled advection-diffusion-reaction equations. In Vermolen FJ, Vuik C, editors, Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference: European Conference, Egmond aan Zee, The Netherlands, September 30 - October 4. Cham: Springer. 2021. p. 313 - 321. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-030-55874-1_30

Novel flux approximation schemes for systems of coupled advection-diffusion-reaction equations

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