Higher-order spatial discretisations in electrochemical digital simulations. Part 4. Discretisation on an arbitrarily spaced grid

被引：19

作者：

Britz, D ^{[1
]}

Strutwolf, J ^{[1
]}

机构：

[1] Aarhus Univ, Dept Chem, DK-8000 Aarhus C, Denmark

来源：

COMPUTATIONAL BIOLOGY AND CHEMISTRY | 2003年 / 27卷 / 03期

关键词：

finite difference electrochemical digital simulation; high-order spatial discretisation; unequal grid; extrapolation;

D O I：

10.1016/S1476-9271(02)00080-4

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A systematic approach to the construction of finite difference formulae for the approximation to first and second derivatives with respect to space on an arbitrarily spaced grid is presented. The finite difference formulae, combined with backward implicit (BI) and extrapolation methods, are used for electrochemical simulations and tested for efficiency. Excellent results are obtained with second and third order discretisations even for very small space intervals in the vicinity of the electrode and strongly expanding grid spacings. This ensures efficient simulation of kinetic-diffusion systems where, due to a fast homogeneous reaction, a thin reaction layer is formed adjacent to the electrode. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：327 / 337

页数：11

共 22 条

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