The Effect of Critical Levels on 3D Orographic Flows: Linear Regime

作者: Vanda Grubišić , Piotr K. Smolarkiewicz

DOI: 10.1175/1520-0469(1997)054<1943:TEOCLO>2.0.CO;2

关键词:

摘要: Abstract The effect of a critical level on airflow past an isolated axially symmetric obstacle is investigated in the small-amplitude hydrostatic limit for mean flows with linear negative shear. Only Richardson numbers (Ri) greater or equal to ¼ are considered. authors examine problem using linear, steady-state, inviscid, dynamic equations, which well known exhibit singular behavior at levels, as numerical model that has capability capturing both nonlinear and dissipative effects where these significant. Linear theory predicts 3D wave pattern individual waves confined paraboloidal envelopes below strongly attenuated directionally filtered above it. Asymptotic solutions field far from mountain show large shear-induced modifications proximity level, quickly widen height. Above ...

参考文章(45)
Adrian S. Broad, Linear theory of momentum fluxes in 3-D flows with turning of the mean wind with height Quarterly Journal of the Royal Meteorological Society. ,vol. 121, pp. 1891- 1902 ,(1995) , 10.1002/QJ.49712152806
R. Kosloff, D. Kosloff, Absorbing boundaries for wave propagation problems Journal of Computational Physics. ,vol. 63, pp. 363- 376 ,(1986) , 10.1016/0021-9991(86)90199-3
John R. Booker, Francis P. Bretherton, The critical layer for internal gravity waves in a shear flow Journal of Fluid Mechanics. ,vol. 27, pp. 513- 539 ,(1967) , 10.1017/S0022112067000515
Carmen J. Nappo, George Chimonas, Wave Exchange between the Ground Surface and a Boundary-Layer Critical Level Journal of the Atmospheric Sciences. ,vol. 49, pp. 1075- 1091 ,(1992) , 10.1175/1520-0469(1992)049<1075:WEBTGS>2.0.CO;2
J. T. Bacmeister, R. T. Pierrehumbert, On High-Drag States of Nonlinear Stratified Flow over an Obstacle Journal of the Atmospheric Sciences. ,vol. 45, pp. 63- 80 ,(1988) , 10.1175/1520-0469(1988)045<0063:OHDSON>2.0.CO;2
Frank B. Lipps, On the Anelastic Approximation for Deep Convection Journal of the Atmospheric Sciences. ,vol. 47, pp. 1794- 1798 ,(1990) , 10.1175/1520-0469(1990)047<1794:OTAAFD>2.0.CO;2
Joseph M. Prusa, Piotr K. Smolarkiewicz, Rolando R. Garcia, Propagation and Breaking at High Altitudes of Gravity Waves Excited by Tropospheric Forcing Journal of the Atmospheric Sciences. ,vol. 53, pp. 2186- 2216 ,(1996) , 10.1175/1520-0469(1996)053<2186:PABAHA>2.0.CO;2
Tzvi Gal-Chen, Richard C.J Somerville, On the use of a coordinate transformation for the solution of the Navier-Stokes equations Journal of Computational Physics. ,vol. 17, pp. 209- 228 ,(1975) , 10.1016/0021-9991(75)90037-6
Piotr K. Smolarkiewicz, Len O. Margolin, On Forward-in-Time Differencing for Fluids: Extension to a Curvilinear Framework Monthly Weather Review. ,vol. 121, pp. 1847- 1859 ,(1993) , 10.1175/1520-0493(1993)121<1847:OFITDF>2.0.CO;2