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Volume 10, Issue 4
Transition of Liesegang Precipitation Systems: Simulations with an Adaptive Grid PDE Method

Paul A. Zegeling, István Lagzi & Ferenc Izsák

DOI: 10.4208/cicp.050510.031210a

Commun. Comput. Phys., 10 (2011), pp. 867-881.

Published online: 2011-10

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  • 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 an 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.

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@Article{CiCP-10-867, author = {Paul A. Zegeling, István Lagzi and Ferenc Izsák}, title = {Transition of Liesegang Precipitation Systems: Simulations with an Adaptive Grid PDE Method}, journal = {Communications in Computational Physics}, year = {2011}, volume = {10}, number = {4}, pages = {867--881}, 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 an 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.050510.031210a}, url = {http://global-sci.org/intro/article_detail/cicp/7465.html} }
TY - JOUR T1 - Transition of Liesegang Precipitation Systems: Simulations with an Adaptive Grid PDE Method AU - Paul A. Zegeling, István Lagzi & Ferenc Izsák JO - Communications in Computational Physics VL - 4 SP - 867 EP - 881 PY - 2011 DA - 2011/10 SN - 10 DO - http://doi.org/10.4208/cicp.050510.031210a UR - https://global-sci.org/intro/article_detail/cicp/7465.html KW - AB -

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 an 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.

Paul A. Zegeling, István Lagzi and Ferenc Izsák. (2011). Transition of Liesegang Precipitation Systems: Simulations with an Adaptive Grid PDE Method. Communications in Computational Physics. 10 (4). 867-881. doi:10.4208/cicp.050510.031210a
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