Second Order Rosenbrock Method Applied to Photochemical Dispersion Problems.211 Modelling, Analysis and Simulation

摘要

A second-order, L-stable Rosenbrock method from the field of stiff ordinary211u001edifferential equations is studied for application to atmospheric dispersion 211u001eproblems describing photochemistry, advective, and turbulent diffusive transport. 211u001eThe focal point of the paper is to examine the Rosenbrock method for reliable and 211u001eefficient use as an atmospheric chemical kinetics box-model solver within Strang-211u001etype operator splitting. In addition, two W-method versions of the Rosenbrock 211u001emethod are discussed. These versions use an inexact Jacobian matrix and are meant 211u001eto provide alternatives for Strang-splitting. Another alternative for Strang-211u001esplitting is a technique basd on so-called source-splitting. This technique is 211u001ebriefly discussed.