AN IMPLICIT EXPLICIT APPROACH FOR ATMOSPHERIC TRANSPORT-CHEMISTRY PROBLEMS

Citation
Jg. Verwer et al., AN IMPLICIT EXPLICIT APPROACH FOR ATMOSPHERIC TRANSPORT-CHEMISTRY PROBLEMS, Applied numerical mathematics, 20(1-2), 1996, pp. 191-209
Citations number
18
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
01689274
Volume
20
Issue
1-2
Year of publication
1996
Pages
191 - 209
Database
ISI
SICI code
0168-9274(1996)20:1-2<191:AIEAFA>2.0.ZU;2-V
Abstract
We investigate numerical algorithms for use in air pollution models. T he emphasis is on the time integration aspects in connection with adve ction, vertical turbulent diffusion and stiff chemistry. The time inte gration scheme considered is a second-order implicit-explicit BDF sche me which handles advection explicitly and vertical turbulent diffusion and chemistry implicitly. The investigation is divided into three par ts. In the first part we propose a Gauss-Seidel technique for the impl icit solution of the chemistry and vertical turbulent diffusion. In th e second part we discuss stability properties of the implicit-explicit BDF scheme, assuming the third-order upwind biased finite difference discretization of the advection operator. In the third part we apply t he implicit-explicit scheme to a 3D test model and discuss vectorizati on and parallelization aspects.