A Second-Order Rosenbrock Method Applied to Photochemical Dispersion Problems
A Second-Order Rosenbrock Method Applied to Photochemical Dispersion Problems
复制标题
解决光化学色散问题的二阶Rosenbrock方法
DOI：
10.1137/s1064827597326651
复制
发表时间：
1999
期刊：
影响因子：
--
通讯作者：
W. Hundsdorfer
中科院分区：
文献类型：
--
作者：
J. Verwer;E. Spee;J. Blom;W. Hundsdorfer
一个二阶，L-稳定Rosenbrock方法从刚性常微分方程领域的研究应用于大气色散问题描述光化学，平流，湍流扩散运输。这种类型的偏微分方程问题出现在空气污染建模领域。本文的重点是检查Rosenbrock方法的可靠性和有效性，作为一个大气化学动力学箱模型求解器内Strang型算子分裂。此外，两个W-方法版本的Rosenbrock方法进行了讨论。这些版本使用不精确的雅可比矩阵，旨在为Strang-splitting提供替代方案。Strang-splitting的另一种替代方法是基于所谓的源分裂的技术。这种技术进行了简要讨论。
A second-order, L-stable Rosenbrock method from the field of stiff ordinary differential equations is studied for application to atmospheric dispersion problems describing photochemistry, advective, and turbulent diffusive transport. Partial differential equation problems of this type occur in the field of air pollution modeling. The focal point of the paper is to examine the Rosenbrock method for reliable and efficient use as an atmospheric chemical kinetics box-model solver within Strang-type operator splitting. In addition, two W-method versions of the Rosenbrock method are discussed. These versions use an inexact Jacobian matrix and are meant to provide alternatives for Strang-splitting. Another alternative for Strang-splitting is a technique based on so-called source-splitting. This technique is briefly discussed.