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Some aspects of stability in atmospheric dispersion problems. (English) Zbl 0762.76071

Summary: Consistency and stability of the atmospheric dispersion problems of advection-diffusion type are studied for three finite difference schemes, namely - explicit, implicit and explicit-implicit schemes. The advantages of one scheme over another are also considered from the standpoint of computational viability. Von Neumann method is followed here for analysis of stability of each scheme.

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76E20 Stability and instability of geophysical and astrophysical flows
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
86A10 Meteorology and atmospheric physics
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