Long Nonlinear Waves in the Lower Atmosphere
| Autor: | Douglas R. Christie |
|---|---|
| Rok vydání: | 1989 |
| Předmět: | |
| Zdroj: | Journal of the Atmospheric Sciences. 46:1462-1491 |
| ISSN: | 1520-0469 0022-4928 |
| DOI: | 10.1175/1520-0469(1989)046<1462:lnwitl>2.0.co;2 |
| Popis: | This paper is concerned with the theoretical description of long, finite-amplitude waves in the stably stratified lower atmosphere. The time evolution of these waves is governed to first order by the Benjamin-Davis-Ono (BDO) equation when frictional processes are negligible or by the BDO-Burgers equation when turbulent dissipation is significant. Numerical solutions of both of these model equations are presented for a wide variety of initial conditions ranging from long waves of finite volume to internal deep-fluid bore waves of infinite spatial extent. It is shown that initially smooth long wave disturbances evolve rapidly under ideal homogeneous waveguide conditions into solitary waves of exceptionally large amplitude. The BDO-Burgers equation is found to have highly stable, time-independent, deep-fluid internal bore wave solutions which may be either oscillatory or monotonic depending upon the degree of frictional dissipation. A number of specific models for the time evolution of long nonlinea... |
| Databáze: | OpenAIRE |
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