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.
Highlights
Stratified flows over topography are of interest for meteorology, since air currents above mountain ranges represent an example of the flow (Scorer, 1978; Nappo, 2002)
An analytical model of two-dimensional steady stratified flow over complex topography formed by isolated group of hills is considered
Our method involves asymptotic analysis of the Dubreil-Jacotin – Long equation transformed to the (x, ψ) independent variables, where ψ is a stream function
Summary
Stratified flows over topography are of interest for meteorology, since air currents above mountain ranges represent an example of the flow (Scorer, 1978; Nappo, 2002). KdV theory for the mass transport due to the waves, which relates transport to the elevation of the interface and the linear long wave phase speed, is presented in (Inall et al, 2001) It compares well with the observed transport in the lower layer. Theory of lee waves started with the pioneering work by Dorodnitsyn (1938, 1950), Lyra (1943), Queney (1948), Scorer (1949) and Long (1953) who considered the problem of a steady flow of inhomogeneous fluid over an isolated ridge These papers deal with the mathematical model of inviscid fluid being incompressible or compressible but isothermal. The main idea of our method is to satisfy the exact topography condition by solving leading-order approximate equations in an auxiliary rectangular domain
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
