Phase field approximation of a kinetic moving-boundary problem modelling dissolution and precipitation

T.L. Noorden, van, C. Eck

Research output: Book/ReportReportAcademic

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Abstract

We present a phase field model which approximates a one-phase Stefan-like problem with a kinetic condition at the moving boundary, and which models a dissolution and precipitation reaction. The concentration of dissolved ions is variable on one side of the free boundary and jumps across the free boundary to a fixed value given by the constant density of the precipitate. Using a formal asymptotic analysis we show that the phase field model approximates the appropriate sharp interface limit. The existence and uniqueness of solutions to the phase-field model is studied. By numerical experiments the approximating behaviour of the phase-field model is investigated.
Original languageEnglish
Place of PublicationStuttgart
PublisherStuttgart Research Centre for Simulation Technology
Number of pages20
Publication statusPublished - 2009

Publication series

NamePreprint Series
Volume2009-6

Fingerprint

Moving Boundary Problem
Phase Field Model
Phase Field
Dissolution
Kinetics
Approximation
Free Boundary
Modeling
Moving Boundary
Formal Analysis
Existence and Uniqueness of Solutions
Asymptotic Analysis
Jump
Numerical Experiment

Cite this

Noorden, van, T. L., & Eck, C. (2009). Phase field approximation of a kinetic moving-boundary problem modelling dissolution and precipitation. (Preprint Series; Vol. 2009-6). Stuttgart: Stuttgart Research Centre for Simulation Technology.
Noorden, van, T.L. ; Eck, C. / Phase field approximation of a kinetic moving-boundary problem modelling dissolution and precipitation. Stuttgart : Stuttgart Research Centre for Simulation Technology, 2009. 20 p. (Preprint Series).
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Noorden, van, TL & Eck, C 2009, Phase field approximation of a kinetic moving-boundary problem modelling dissolution and precipitation. Preprint Series, vol. 2009-6, Stuttgart Research Centre for Simulation Technology, Stuttgart.

Phase field approximation of a kinetic moving-boundary problem modelling dissolution and precipitation. / Noorden, van, T.L.; Eck, C.

Stuttgart : Stuttgart Research Centre for Simulation Technology, 2009. 20 p. (Preprint Series; Vol. 2009-6).

Research output: Book/ReportReportAcademic

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N2 - We present a phase field model which approximates a one-phase Stefan-like problem with a kinetic condition at the moving boundary, and which models a dissolution and precipitation reaction. The concentration of dissolved ions is variable on one side of the free boundary and jumps across the free boundary to a fixed value given by the constant density of the precipitate. Using a formal asymptotic analysis we show that the phase field model approximates the appropriate sharp interface limit. The existence and uniqueness of solutions to the phase-field model is studied. By numerical experiments the approximating behaviour of the phase-field model is investigated.

AB - We present a phase field model which approximates a one-phase Stefan-like problem with a kinetic condition at the moving boundary, and which models a dissolution and precipitation reaction. The concentration of dissolved ions is variable on one side of the free boundary and jumps across the free boundary to a fixed value given by the constant density of the precipitate. Using a formal asymptotic analysis we show that the phase field model approximates the appropriate sharp interface limit. The existence and uniqueness of solutions to the phase-field model is studied. By numerical experiments the approximating behaviour of the phase-field model is investigated.

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Noorden, van TL, Eck C. Phase field approximation of a kinetic moving-boundary problem modelling dissolution and precipitation. Stuttgart: Stuttgart Research Centre for Simulation Technology, 2009. 20 p. (Preprint Series).