Transition of Liesegang precipitation systems: simulations with an adaptive grid PDE method

P.A. Zegeling, István Lagzi, Ferenc Izsák

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

The dynamics of the Liesegang type pattern formation is investi- gated in a centrally symmetric two-dimensional setup. According to the observations in real experiments, the qualitative change of the dy- namics is exhibited for slightly different initial conditions. Two kinds of chemical mechanisms are studied; in both cases the pattern forma- tion is described using a phase separation model including the Cahn- Hilliard equations. For the numerical simulations we make use of an adaptive grid PDE method, which successfully deals with the compu- tationally critical cases such as steep gradients in the concentration distribution and investigation of long time behavior. The numerical simulations show a good agreement with the real experiments.
Original languageEnglish
Pages (from-to)867-881
Number of pages15
JournalCommunications in Computational Physics
Volume10
Issue number4
DOIs
Publication statusPublished - Oct 2011

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