Advertisement

A Comparison of Fast Chemical Kinetic Solvers in a Simple Vertical Diffusion Model

  • Oswald Knoth
  • Ralf Wolke
Part of the NATO · Challenges of Modern Society book series (NATS, volume 18)

Abstract

The photochemical reaction mechanisms used in regional air quality models usually consider 20 to 100 pollutant species. The equations resulting from these chemical mechanisms are nonlinear, highly coupled and extremely stiff depending on the time of the day. Therefore, the simulation time of the models is determined to a large degree by the computational burden associated with the solution of the chemistry equations.

Keywords

Vertical Diffusion Triangular Part Numerical Efficiency Step Size Control Implicit Euler Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Hairer, E., and Wanner, G., 1991, ”Solving Ordinary Differential Equations II,” Springer Verlag, Berlin.CrossRefGoogle Scholar
  2. Hass, H., 1991, ”Description of the EURAD Chemistry—Transport—Model Version 2 (CTM2),” Mitteilungen aus dem Institut für Geophysik und Meteorologie, Universität Köln.Google Scholar
  3. Hertel, O., Bercowicz, R., Christensen, J., and Hov, Ø., 1993, Test of two numerical schemes for use in atmospheric transport—chemistry model, to be published in Atmos. Environ.Google Scholar
  4. Hindmarsh, A. C., 1980, LSODE and LSODI, two new initial value ordinary differential equation solver, ACM—SIGNUM Newsl., 15, 4, 10–11.CrossRefGoogle Scholar
  5. Knoth, O., and Wolke, R., 1993, ”A Comparison of Numerical Schemes for Use in Atmospheric Transport—Chemistry Models,” Working Paper, Institute for Tropospheric Research, Leipzig.Google Scholar
  6. Renner, E., and Rolle, W., 1989, Modelling of the formation of photooxidants by a Lagrangian grid cell model under characteristic conditions of Central Europe, Atmos. Environ., 23, 1841–1847.CrossRefGoogle Scholar
  7. Renner, E., Rolle, W., and Helmig, D., 1993, Comparison of computed and measured photooxidant concentrations at a forest side, Chemosphere, 27, 881–898.CrossRefGoogle Scholar
  8. Roe, P. L., 1981, ”Numerical Algorithms for the Linear Wave Equation,” Royal Aircraft Establishment, Technical Report 81047.Google Scholar
  9. Sillman, S., 1991, A numerical solution for the equations of tropospheric chemistry based on an analysis of sources and sinks of odd hydrogen, J. Geophys. Res., 96, 20.735–20.744.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Oswald Knoth
    • 1
  • Ralf Wolke
    • 1
  1. 1.Institut für TroposphärenforschungPermoserstr. 15LeipzigGermany

Personalised recommendations