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

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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.

Original languageEnglish
Title of host publicationNumerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference
Subtitle of host publicationEuropean Conference, Egmond aan Zee, The Netherlands, September 30 - October 4
EditorsFred J. Vermolen, Cornelis Vuik
Place of PublicationCham
PublisherSpringer
Pages313 - 321
Number of pages9
ISBN (Electronic)978-3-030-55874-1
ISBN (Print)978-3-030-55873-4, 978-3-030-55876-5
DOIs
Publication statusPublished - 2021
EventEuropean Conference on Numerical Mathematics and Advanced Applications: ENUMATH 2019 - Hotel Zuiderduin, Egmond aan Zee, Netherlands
Duration: 30 Sep 20194 Oct 2019
https://www.enumath2019.eu/

Publication series

NameLecture Notes in Computational Science and Engineering
Volume139
ISSN (Print)1439-7358
ISSN (Electronic)2197-7100

Conference

ConferenceEuropean Conference on Numerical Mathematics and Advanced Applications
Abbreviated titleENUMATH 2019
Country/TerritoryNetherlands
CityEgmond aan Zee
Period30/09/194/10/19
Internet address

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