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

Paul A. Zegeling, István Lagzi, F. Izsak

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    8 Citations (Scopus)

    Abstract

    The dynamics of the Liesegang type pattern formation is investigated in a centrally symmetric two-dimensional setup. According to the observations in real experiments, the qualitative change of the dynamics is exhibited for slightly different initial conditions. Two kinds of chemical mechanisms are studied; in both cases the pattern formation is described using a phase separation model including the Cahn-Hilliard equations. For the numerical simulations we make use of a recent adaptive grid PDE method, which successfully deals with the computationally 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 languageUndefined
    Pages (from-to)867-881
    Number of pages13
    JournalCommunications in computational physics
    Volume10
    Issue number4
    DOIs
    Publication statusPublished - 2011

    Keywords

    • MSC-65P99
    • MSC-70K70
    • MSC-70K99
    • EWI-21260
    • IR-79422
    • adaptive grid technique
    • numerical simulations
    • METIS-284998
    • Liesegang phenomenon

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