For the time integration of stiff transport-chemistry problems from air pollution modelling, standard ODE solvers are not feasible due to the large number of species and the 3D nature. The popular alternative, standard operator splitting, introduces artificial transients for short-lived species. This complicates the chemistry solution, easily causing large errors for such species. In the framework of an operational global air pollution model, we focus on the problem formed by chemistry and vertical transport, which is based on diffusion, cloud-related vertical winds, and wet deposition. Its specific nature leads to full Jacobian matrices, ruling out standard implicit integration. We compare Strang operator splitting with two alternatives: source splitting and an (unsplit) Rosenbrock method with approximate matrix factorization, all having equal computational cost. The comparison is performed with real data. All methods are applied with half-hour time steps, and give good accuracies. Rosenbrock is the most accurate, and source splitting is more accurate than Strang splitting. Splitting errors concentrate in short-lived species sensitive to solar radiation and species with strong emissions and depositions.
|Title of host publication||Atmospheric Modeling|
|Editors||David P. Chock, Gregory R. Carmichael, Patricia Brick|
|Number of pages||20|
|Publication status||Published - 2002|
|Event||IMA Atmospheric Modeling Workshop 2000 - University of Minnesota, Minneapolis, United States|
Duration: 15 Mar 2000 → 19 Mar 2000
|Name||IMA Volumes in Mathematics and its Applications|
|Workshop||IMA Atmospheric Modeling Workshop 2000|
|Period||15/03/00 → 19/03/00|
Berkvens, P. J. F., Bochev, M. A., Krol, M. C., Peters, W., & Verwer, J. G. (2002). Solving vertical transport and chemistry in air pollution models. In D. P. Chock, G. R. Carmichael, & P. Brick (Eds.), Atmospheric Modeling (pp. 1-20). (IMA Volumes in Mathematics and its Applications; Vol. 130). Springer.