Sd. Danilov et Vg. Kochina, APPLICABILITY OF THE RAYLEIGH APPROXIMATI ON OF BOTTOM FRICTION TO MODELING SHEAR-FLOW INSTABILITY, Izvestia Akademii nauk. Rossijskaa akademia nauk. Fizika atmosfery iokeana, 33(6), 1997, pp. 845-849
The behavior of a quasi-two-dimensional shear flow is studied numerica
lly for large supercriticalities. Bottom influence is considered in th
e approximation of friction linear in velocity (Rayleigh friction). A
comparison between results obtained and available experimental data sh
ows that this approximation is correct for small and moderate supercri
ticalities. For large supercriticalities, disagreement with the experi
mental data is found, which appears to be due to the manifestation of
three-dimensional effects.