A pseudo-non-time-splitting method in air quality modeling.

*(English)*Zbl 0859.65133This paper presents a pseudo-non-time-splitting (PN) method that combines the different processes in air quality modeling, such as advection, diffusion, and emission, with chemical reaction computations. The purpose is to reduce the errors generated by the time-splitting method by taking the advantage of the fact that the integration time steps in the chemical reaction computation are much smaller than those used in other processes. An example of a cosine hill rotation with chemical reactions is used to demonstrate this new method. The author shows that the PN method produces results with similar accuracy to those from the conventional time-splitting method but consumes about 20% less execution CPU time.

Reviewer: Michael Sever (Jerusalem)

##### MSC:

65Z05 | Applications to the sciences |

92C45 | Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) |

35K55 | Nonlinear parabolic equations |

92E20 | Classical flows, reactions, etc. in chemistry |

65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |