Numerical solution of multiscale problems in atmospheric modeling

摘要: Explicit time integration methods are characterized by a small numerical effort per step. In the application to multiscale problems in atmospheric modeling, this benefit is often more than compensated stability and stepsize restrictions resulting from stiff chemical reaction terms locally varying Courant-Friedrichs-Lewy (CFL) condition for advection terms. present paper, we address problem rather general splitting technique that may be applied recursively. This allows combination of implicit explicit (IMEX splitting) as well local adaptation meshwidth non-uniform space grids an multirate discretization Using formal representation partitioned Runge-Kutta method, convergence order p=<3 shown if some additional conditions satisfied. series tests, results verified consequences different strategies like flux cell analysed.