SFB 1313 Publication by Carina Bringedal

July 17, 2020 /

Publication title: "A Conservative Phase-Field Model for Reactive Transport" (pp. 537-545)
Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Springer Proceedings in Mathematics & Statistics)

SFB 1313 principal investigator Carina Bringedal published the article "A Conservative Phase-Field Model for Reactive Transport" (pp. 537-545) in the Springer book  "Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples"*. The book is a part of the Springer Proceedings in Mathematics & Statistics book series (FVCA 9, Volume 323).

Abstract

We present a phase-field model for single-phase flow and reactive transport where ions take part in mineral precipitation/dissolution reactions. The evolving interface between fluid and mineral is approximated by a diffuse interface, which is modeled using an Allen–Cahn equation. As the original Allen–Cahn equation is not conservative, we apply a reformulation ensuring conservation of the phase-field variable and address the sharp-interface limit of the reformulated model. This model is implemented using a finite volume scheme and the discrete conservation of the reformulated Allen–Cahn equation is shown. Numerical examples show how the discrete phase-field variable is conserved up to the chemical reaction.

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* Klöfkorn, R., Keilegavlen, E., Radu, F. A., Fuhrmann, J. (2020). Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 9, Volume 323, Springer Proceedings in Mathematics & Statistics, Bergen (Norway), 775 pages.

SFB 1313 publication: "A Conservative Phase-Field Model for Reactive Transport" (pp. 537-545)

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