### Abstract

Original language | English |
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Place of Publication | Stuttgart |

Publisher | Stuttgart Research Centre for Simulation Technology |

Number of pages | 20 |

Publication status | Published - 2009 |

### Publication series

Name | Preprint Series |
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Volume | 2009-6 |

### Fingerprint

### Cite this

*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.

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*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.

Research output: Book/Report › Report › Academic

TY - BOOK

T1 - Phase field approximation of a kinetic moving-boundary problem modelling dissolution and precipitation

AU - Noorden, van, T.L.

AU - Eck, C.

PY - 2009

Y1 - 2009

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.

M3 - Report

T3 - Preprint Series

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

PB - Stuttgart Research Centre for Simulation Technology

CY - Stuttgart

ER -