%0 Conference Paper %1 10.1007/978-3-030-43651-3_50 %A Bringedal, Carina %B Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples %C Cham %D 2020 %E Klöfkorn, Robert %E Keilegavlen, Eirik %E Radu, Florin A. %E Fuhrmann, Jürgen %I Springer International Publishing %K pa-a rp-a5 sfb1313 %P 537--545 %R 10.1007/978-3-030-43651-3_50 %T A Conservative Phase-Field Model for Reactive Transport %X Bringedal, CarinaWe 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. %@ 978-3-030-43651-3

@inproceedings{10.1007/978-3-030-43651-3_50, abstract = {Bringedal, CarinaWe 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.}, added-at = {2020-07-16T15:27:44.000+0200}, address = {Cham}, author = {Bringedal, Carina}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2ea7beb89a979fd414d88766e2a577816/sfb1313-puma}, booktitle = {Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples}, doi = {10.1007/978-3-030-43651-3_50}, editor = {Kl{\"o}fkorn, Robert and Keilegavlen, Eirik and Radu, Florin A. and Fuhrmann, J{\"u}rgen}, interhash = {010ae09b0734d80d686d3d4a18c66c56}, intrahash = {ea7beb89a979fd414d88766e2a577816}, isbn = {978-3-030-43651-3}, keywords = {pa-a rp-a5 sfb1313}, pages = {537--545}, publisher = {Springer International Publishing}, timestamp = {2021-04-19T12:46:25.000+0200}, title = {A Conservative Phase-Field Model for Reactive Transport}, year = 2020 }