Implicit-explicit Runge-Kutta methods for computing atmospheric reactive flows. (English) Zbl 0934.76058
Summary: We derive implicit-explicit time integration schemes which use explicit higher-order Runge-Kutta schemes for the integration of horizontal advection in the title problem. The stiff chemistry and vertical transport processes (turbulent diffusion, advection, deposition) are integrated in an implicit and coupled manner by a higher-order BDF method. High-order accuracy and stability conditions are investigated for this class of implicit-explicit schemes. We discuss numerical behavior of new integration schemes for simple one- and three-dimensional chemistry-transport problems.
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76V05 | Reaction effects in flows |
| 65L06 | Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations |
| 86-08 | Computational methods for problems pertaining to geophysics |
| 86A10 | Meteorology and atmospheric physics |
Keywords:
chemical kinetics; air pollution modeling; turbulent diffusion; horizontal advection; stiff chemistry; vertical transport; deposition; accuracy; stabilitySoftware:
ODEPACKReferences:
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