Use of dynamically adaptive grid techniques for the solution of electrochemical kinetic equations. Patch-adaptive simulation of moving fronts in non-linear diffusion models of the switching of conductive polymers

被引：16

作者：

Bieniasz, LK ^{[1
]}

机构：

[1] Polish Acad Sci, Inst Chem Phys, Molten Salts Lab, PL-30318 Krakow, Poland

来源：

ELECTROCHEMISTRY COMMUNICATIONS | 2001年 / 3卷 / 03期

关键词：

computational electrochemistry; adaptive grids; non-linear diffusion; moving fronts; polymer electrodes; chronoamperometry;

D O I：

10.1016/S1388-2481(01)00123-0

中图分类号：

O646 [电化学、电解、磁化学];

学科分类号：

081704 ;

摘要：

The finite-difference patch-adaptive strategy (PAS) for electrochemical kinetic simulations, previously described by the author, is extended and applied to two examples of non-linear diffusion in one-dimensional space geometry, characterised by moving fronts, and related to the modelling of redox switching of conductive polymers. The extension consists of an appropriate spatial discretisation of the second derivative diffusion term involving concentration-dependent diffusion coefficient, and of an improved selection of starting approximations for the Newton iterations within the extrapolation time-stepping scheme. Adaptive solutions obtained are reliable, accurate, efficient, and superior to fixed-grid solutions. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：149 / 153

页数：5

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