A second-order Rosenbrock method applied to photochemical dispersion problems

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 f...

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Bibliographic Details
Published in:SIAM journal on scientific computing 1999, Vol.20 (4), p.1456-1480
Main Authors: VERWER, J. G, SPEE, E. J, BLOM, J. G, HUNDSDORFER, W
Format: Article
Language:English
Subjects:
Air pollution
Approximation theory
Atmospheric chemistry
Chemical reactions
Chemistry
Copyright
Exact sciences and technology
Mathematical models
Mathematical operators
Mathematics
Matrix algebra
Methods
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Outdoor air quality
Partial differential equations
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Photochemical reactions
Reaction kinetics
Sciences and techniques of general use
Sparsity
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Summary: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 [PUBLICATION ABSTRACT]
ISSN:1064-8275
1095-7197
DOI:10.1137/s1064827597326651