EXPERIMENTS IN NUMERICAL-METHODS FOR A PROBLEM IN COMBUSTION MODELING

被引：7

作者：

BYRNE, GD ^{[1
]}

HINDMARSH, AC ^{[1
]}

机构：

[1] UNIV CALIF LAWRENCE LIVERMORE NATL LAB,DIV MATH & STAT,LIVERMORE,CA 94550

来源：

APPLIED NUMERICAL MATHEMATICS | 1985年 / 1卷 / 01期

关键词：

COMPUTER SOFTWARE - MATHEMATICAL TECHNIQUES - Numerical Methods;

D O I：

10.1016/0168-9274(85)90027-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we have shown that the numerical method of lines can be used effectively to solve time-dependent combustion models in one spatial dimension. We have presented various solution methods of interest for the nonlinear algebraic system in this setting; that is, in the corrector iteration section of the GEAR package applied to combustion models. These methods include Newton/block SOR (SOR denotes successive over-relaxation), block SOR/Newton, Newton/block-diagonal Jacobian, Newton/kinetics-only Jacobian, and Newton/block symmetric SOR. Finally, we have given the results of numerical tests, run on the CDC-7600 and Cray-1 computers.

引用

页码：29 / 57

页数：29

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