An implicit-explicit approach for atmospheric transport-chemistry problems

Applied Numerical Mathematics

Volumn 20, Issue 1-2, 1996, Pages 191-209

  Verwer, J G ^a   Blom, J G ^a   Hundsdorfer, W ^a  

^a CWI   (Netherlands)

Author keywords

Long range transport air pollution models; Numerical methods; Parallelization; Time dependent advection diffusion reaction; Vectorization

Indexed keywords

AIR POLLUTION; ATMOSPHERIC TURBULENCE; CHEMISTRY; CONVERGENCE OF NUMERICAL METHODS; DIFFUSION; FINITE DIFFERENCE METHOD; INTEGRATION; MATHEMATICAL MODELS; NUMERICAL METHODS; THREE DIMENSIONAL; VECTORS;

ADVECTION OPERATOR; AIR POLLUTION MODELS; ATMOSPHERIC TRANSPORT CHEMISTRY PROBLEMS; FINITE DIFFERENCE DISCRETIZATION; GAUSS-SEIDEL TECHNIQUE; IMPLICIT EXPLICIT APPROACH; PARALLELIZATION; VECTORIZATION;

ALGORITHMS;

EID: 0030082938     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/0168-9274(95)00126-3     Document Type: Article

References (18)

1. D.J. Allen, A.R. Douglass, R.B. Rood and P.D. Guthrie, Application of a monotonie upstream-biased transport scheme to three-dimensional constituent transport calculations, Monthly Weather Rev. 119 (1981) 2456-2464.
2. U.M. Ascher, S.J. Ruuth and B. Wetton, Implicit-explicit methods for time-dependent PDEs, SIAM J. Numer. Anal. 32 (1995) 797-823.
3. J.G. Blom, W. Hundsdorfer and J.G. Verwer, Vectorization aspects of a spherical advection scheme on a reduced grid, Report NM-R9418, CWI, Amsterdam (1994).
4. Cray Research, Inc., UNICOS performance utilities reference manual, SR-2040 6.0 edition (1991).
5. J.J. Dongarra, C.B. Moler, J.R. Bunch and G.W. Stewart, LINPACK Users' Guide (SIAM, Philadelphia, PA, 1979).
6. E. Hairer and G. Wanner, Solving Ordinary Differential Equations II (Springer-Verlag, New York, 1991).
7. W. Hundsdorfer, B. Koren, M. van Loon and J.G. Verwer, A positive finite-difference advection scheme, J. Comput. Phys. 117 (1995) 35-46.
8. G.J. McRae, W.R. Goodin and J.H. Seinfeld, Numerical solution of the atmospheric diffusion equation for chemically reacting flows, J. Comput. Phys. 45 (1982) 1-42.
9. J.J.H. Miller, On the location of zeros of certain classes of polynomials with applications to numerical analysis, J. Inst. Math. Appl. 8 (1971) 397-406,
10. D. Simpson, Photochemical model calculations over Europe for two extended summer periods: 1985 and 1989: model results and comparisons with observations, Atmospheric Environment 27A (1993) 921-943.
11. D. Simpson, Y. Andersson-Skold and M.E. Jenkin, Updating the chemical scheme for the EMEP MSC-W model: current status, Report EMEP MSC-W Note 2/93, The Norwegian Meteorological Institute, Oslo (1993).
12. J.M. Varah, Stability restrictions on second order, three-level finite-difference schemes for parabolic equations, SIAM J. Numer. Anal. 17 (1980) 300-309.
13. J.G. Verwer, Gauss-Seidel iteration for stiff ODEs from chemical kinetics, SIAM J. Sci. Comput. 15 (1994) 1243-1250.
14. J.G. Verwer and D. Simpson, Explicit methods for stiff ODEs from atmospheric chemistry, Appl. Numer. Math. 18 (1995) 413-430.
15. J.G. Verwer, J.G. Blom, M. van Loon and E.J. Spee, A comparison of stiff ODE solvers for atmospheric chemistry problems. Atmospheric Environment 30 (1996) 49-58.
16. P. Wesseling, A method to obtain von Neumann stability conditions for the convection-diffusion equation, in: M.J. Baines and K.W. Morton, eds., Proceedings ICFD Conference on Numerical Methods in Fluid Dynamics, Oxford (Oxford University Press, Oxford, 1995).
17. P. Wesseling. Von Neumann stability conditions for the convection-diffusion equation, Report 95-25, Faculty of Technical Mathematics and Informatics, Delft University of Technology (1995).
18. D.L. Williamson, Review of numerical approaches for modeling global transport, in: H. van Dop and G. Kallos, eds., Air Pollution Modeling and Its Application IX (Plenum Press, New York, 1992) 377-394.