scholarly journals Conservation laws of wave action and potential enstrophy for rossby waves in a stratified atmosphere

1983 ◽  
Vol 121 (5-6) ◽  
pp. 917-946 ◽  
Author(s):  
David M. Straus
Keyword(s):  
Conservation Laws ◽  
Rossby Waves ◽  
Wave Action ◽  
Potential Enstrophy

scholarly journals RIP CURRENT SPACING AS AN EIGENVALUE

1978 ◽  
Vol 1 (16) ◽  
pp. 47
Author(s):  
Noriyuki Iwata
Keyword(s):  
Conservation Laws ◽  
Surf Zone ◽  
Coastal Region ◽  
Normal Incidence ◽  
Wave Action ◽  
Rip Current ◽  
Radiation Stress ◽  
Matching Conditions ◽  
Horizontal Mixing ◽  
The Waves

Mass, momentum and wave action conservation laws, including the radiation stress, are used to obtain a rip current spacing as an eigenvalue. A coastal region is divided into two parts: offshore region and surf zone separated by a breaker line. Only the case of normal incidence of the waves is considered. From the matching conditions of the two horizontal velocity components at the breaker line, we can obtain rip current spacing as a function of a nondimensional parameter characterizing the surf zone, for an arbitrary value of a parameter indicating the strength of horizontal mixing.

scholarly journals Benjamin-Ono-Burgers-MKdV Equation for Algebraic Rossby Solitary Waves in Stratified Fluids and Conservation Laws

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Hongwei Yang ◽  
Shanshan Jin ◽  
Baoshu Yin
Keyword(s):  
Conservation Laws ◽  
Solitary Waves ◽  
Rossby Waves ◽  
Multiple Scale ◽  
Mkdv Equation ◽  
Center Of Gravity ◽  
Stratified Fluids ◽  
Scale Method ◽  
Small Dissipation ◽  
Rossby Solitary Waves

In the paper, by using multiple-scale method, the Benjamin-Ono-Burgers-MKdV (BO-B-MKdV) equation is obtained which governs algebraic Rossby solitary waves in stratified fluids. This equation is first derived for Rossby waves. By analysis and calculation, some conservation laws are derived from the BO-B-MKdV equation without dissipation. The results show that the mass, momentum, energy, and velocity of the center of gravity of algebraic Rossby waves are conserved and the presence of a small dissipation destroys these conservations.

scholarly journals Parameterization of Strong Stratospheric Inertia–Gravity Waves Forced by Poleward-Breaking Rossby Waves

2008 ◽  
Vol 136 (1) ◽  
pp. 98-119 ◽  
Author(s):  
Christoph Zülicke ◽  
Dieter Peters
Keyword(s):  
Gravity Wave ◽  
Gravity Waves ◽  
Rossby Wave ◽  
Wave Breaking ◽  
Rossby Waves ◽  
Wave Generation ◽  
Wave Action ◽  
Rossby Wave Breaking ◽  
Field Campaigns ◽  
Inertia Gravity Waves

Abstract The link between poleward-breaking Rossby waves and stratospheric inertia–gravity waves is examined. With a visual inspection of Ertel’s potential vorticity maps based on ECMWF analyses it was found that Rossby wave–breaking events occurred over northern Europe in about 40% of the winter days in 1999–2003. The majority of them were breaking poleward downstream. A total of 10 field campaigns were performed in the winters of 1999–2002 at Kühlungsborn, Germany (54°N, 12°E). They are related to such events and can be considered as representative for poleward-breaking Rossby waves. Inertia–gravity wave properties are diagnosed from radiosonde observations. They appeared to be shallower, slower, and stronger than the climatological mean for the north German lowlands. Hence, Rossby wave–breaking events are linked with strong stratospheric inertia–gravity wave activity. A novel parameterization of inertia–gravity wave generation and propagation is proposed. The stratospheric inertia–gravity wave action in the 16–20-km height range was parameterized with the synoptic-scale cross-stream ageostrophic wind, which accounts for imbalances in the upper-tropospheric jet streak. This empirical relationship is supported with quasigeostrophic theory. Effects of damping and critical level absorption are taken into account with Wentzel–Kramers–Brillouin theory. For verification of the parameterization with homogeneous meteorological fields in space and time, the 10 field campaigns were hindcasted with the nonhydrostatic fifth-generation Pennsylvania State University–National Center for Atmospheric Research Mesoscale Model. About 80% of the variance in inertia–gravity wave action was found to be explained. For the 10 campaigns a close link was found between the poleward-breaking Rossby waves and the strong stratospheric inertia–gravity waves. The role of the polar vortex was twofold: first, it forced the poleward-oriented Rossby waves to break downstream and to form strong tropospheric jet streaks generating inertia–gravity waves. Second, the strong winds in the stratosphere favored the upward propagation of the inertia–gravity waves. The proposed new parameterization of inertia–gravity wave generation and propagation was validated and can be used to deduce mesoscale wave intensity from synoptic flow characteristics during poleward Rossby wave–breaking events.

Magnitude of the β-Factor Under Wave Action

1987 ◽  
Author(s):  
J. van de Graaff ◽  
R. C. Steijn
Keyword(s):  
Wave Action
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