Long's Equation in Terrain Following Coordinates
Geophysics
2020-01-29 v2 Fluid Dynamics
Abstract
Long's equation describes two dimensional stratified atmospheric flow over terrain which is represented by the geometry of the domain. The solutions of this equation over simple topography were investigated analytically and numerically by many authors. In this paper we derive a new terrain following formulation of this equation which incorporates the terrain as part of the differential equation rather than the geometry of the domain. This leads to new analytic insights about the solutions of this equation and enable us to compute steady state gravity wave patterns over complex topography.
Cite
@article{arxiv.0805.3524,
title = {Long's Equation in Terrain Following Coordinates},
author = {Mayer Humi},
journal= {arXiv preprint arXiv:0805.3524},
year = {2020}
}
Comments
25pages, 3figures. Revised the section on numerical simulations and replaced all figures