EXAMINATION OF THE BEHAVIOR OF THE FULLY IMPLICIT FINITE-DIFFERENCE ALGORITHM WITH THE RICHTMYER MODIFICATION - BEHAVIOR WITH AN EXPONENTIALLY EXPANDING TIME GRID

被引:40
作者
FELDBERG, SW
GOLDSTEIN, CI
机构
[1] Department of Applied Science, Brookhaven National Laboratory, Upton
基金
美国能源部;
关键词
EXPONENTIAL TIME GRID; DIFFUSION KINETICS; FULLY IMPLICIT FINITE-DIFFERENCE ALGORITHM; RICHTMYER MODIFICATION;
D O I
10.1016/0022-0728(95)04161-1
中图分类号
O65 [分析化学];
学科分类号
070302 ; 081704 ;
摘要
This paper describes the development and application of the fully implicit finite-difference algorithm with the Richtmyer modification (the FIRM algorithm) and an exponential time grid to simulations of stiff problems involving homogeneous kinetics and simulations of stiff problems involving semi-infinite linear diffusion coupled with heterogeneous and homogeneous kinetics. The accuracy and stability of the FIRM algorithm with various levels and the dependence upon the starting protocol are discussed in detail.
引用
收藏
页码:1 / 10
页数:10
相关论文
共 19 条
[1]  
Bard A., 1980, ELECTROCHEMICAL METH
[2]   THE VONNEUMANN STABILITY OF FINITE-DIFFERENCE ALGORITHMS FOR THE ELECTROCHEMICAL KINETIC SIMULATION OF DIFFUSION COUPLED WITH HOMOGENEOUS REACTIONS [J].
BIENIASZ, LK .
JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 1993, 345 (1-2) :13-25
[3]   A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type [J].
Crank, J ;
Nicolson, P .
ADVANCES IN COMPUTATIONAL MATHEMATICS, 1996, 6 (3-4) :207-226
[4]  
Einstein A., 1956, INVESTIGATIONS THEOR
[7]  
GEAR CW, 1969, INFORMATION PROCESSI, P187
[8]  
GEAR CW, 1969, NUMERICAL INITIAL VA, pCH11
[9]  
Henrici P., 1962, DISCRETE VARIABLE ME
[10]   A 5-POINT FINITE-DIFFERENCE METHOD FOR SOLVING PARABOLIC PARTIAL-DIFFERENTIAL EQUATIONS [J].
KIMBLE, MC ;
WHITE, RE .
COMPUTERS & CHEMICAL ENGINEERING, 1990, 14 (08) :921-924