A comparison of integration methods for atmospheric transport-chemistry problems

• Published in: Journal of computational and applied mathematics Vol. 126; no. 1; pp. 381 - 396
• Main Authors: Blom, J.G., Verwer, J.G.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 30.12.2000; Elsevier
• Subjects: Advection–diffusion-reaction; Air pollution; Animal, plant and microbial ecology; Approximations and expansions; Biological and medical sciences; Exact sciences and technology; Fundamental and applied biological sciences. Psychology; General aspects. Techniques; Generalities; Mathematical analysis; Mathematics; Numerical analysis; Numerical analysis. Scientific computation; Numerical approximation; Sciences and techniques of general use; Time integration; Air pollution; Time integration; Advection–diffusion-reaction; Rosenbrock method; Numerical integration; Atmospheric transport chemistry; Simulation; Atmospheric diffusion; Differential equation; Advection diffusion equation; Matrix decomposition; Jacobi matrix
• ISSN: 0377-0427; 1879-1778
• DOI: 10.1016/S0377-0427(99)00366-0

This paper is devoted to the time integration of stiff atmospheric transport-chemistry problems from air pollution modeling. Off-the-shelf solvers are not feasible for air pollution problems due to the large number of species and the 3D nature. This has led to the development and use of special techniques of which operator splitting is the most popular one. This paper presents a comparison between standard operator splitting, source splitting and approximate matrix factorization. All methods under consideration are comparable in costs measured step wise. The comparison is directed at real-life problems. For that purpose a regional air pollution model is used.