Interference of lee waves over mountain ranges

Abstract

Abstract. Internal waves in the atmosphere and ocean are generated frequently from the interaction of mean flow with bottom obstacles such as mountains and submarine ridges. Analysis of these environmental phenomena involves theoretical models of non-homogeneous fluid affected by the gravity. In this paper, a semi-analytical model of stratified flow over the mountain range is considered under the assumption of small amplitude of the topography. Attention is focused on stationary wave patterns forced above the rough terrain. Adapted to account for such terrain, model equations involves exact topographic condition settled on the uneven ground surface. Wave solutions corresponding to sinusoidal topography with a finite number of peaks are calculated and examined.

Outcomes of the Special Issue on Extreme and Rogue Waves

“…It is shown that the numerical scheme developed for the Green-Naghdi equations in open channel flows may be applied to the description of large amplitude internal waves over a shelf. Makarenko and Maltseva (2011) focused on the mechanism of generation of large-amplitude internal waves due to the interaction of mean flow with submarine ridges. The authors suggest a semi-analytical model of stratified flow over the obstacle under the assumption of small topographic amplitude.…”

Lidar observations of atmospheric internal waves in the boundary layer of the atmosphere on the coast of Lake Baikal

“…Lee AIWs (or orographic waves) are one of the types of AGWs, which arise leeward of obstacles at the stable stratification of an incoming flow (Vel'tishchev and Stepanenko, 2006;Kozhevnikov, 1999;Makarenko and Maltseva, (Pearson et al, 2009). These lidars find expanding applications in studies of ABL (O'Connor et al, 2010;Sathe and Mann, 2012;van Dinther et al, 2015;Päschke et al, 2015;Smalikho and Banakh, 2015a, b;Smalikho et al, 2015a, b, c;Vakkari et al, 2015).…”

Lidar observations of atmospheric internal waves in the boundary layer of atmosphere on the coast of Lake Baikal

“…Therefore, at very low signal-to-noise ratios, the estimate SNR(h k ) has a systematic error (in particular, SNR can take negative values). This does not allow us to find an adequate threshold SNR t without the special procedure of data correction (Manninen et al, 2016). To correct the measured profile SNR(h k ), first we use a smoothing cubic spline fit to all SNR(h k ) ≤ 0.015 and obtain the function SNR s (h k ) (see green squares in Fig.…”

“…In this paper we present the results of lidar observations of the coastal-mountain lee waves on the coast of Lake Baikal. Lee AIWs (or orographic waves) are one of the types of AGWs, which arise leeward of obstacles at the stable stratification of an incoming flow (Vel'tishchev and Stepanenko, 2006;Kozhevnikov, 1999;Makarenko and Maltseva, ). Experimental investigations of AIWs in the atmospheric boundary layer of Lake Baikal were carried out with the use of the 1.5 µm Halo Photonics CDWL Stream Line (Pearson et al, 2009).…”