Maslov's Method for Stationary Hydrostatic Mountain Waves

Abstract

The ray solution for stationary hydrostatic mountain waves has a singularity along the vertical axis directly over the mountain. We use Maslov's method to improve the ray prediction. The ray solution is determined in the wave-number domain and is then mapped by inverse Fourier transform to give a spatial description of the wave field that approximates the linear solution over the mountain and elsewhere. We develop Maslov's method for a medium with a height-dependent mean wind and mean buoyancy, and we compare it with the traditional transform method and with the results of a numerical simulation.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2002
Accession Number
ADA524960

Entities

People

  • Dave Broutman
  • James W. Rottman
  • Stephen D. Eckermann

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Buoyancy
  • Dispersion Relations
  • Frequency
  • Gravity Waves
  • Group Velocity
  • Integrals
  • Military Research
  • Mountains
  • Ray Tracing
  • Richardson Number
  • Simulations
  • Stationary
  • Three Dimensional
  • Wave Propagation
  • Waves
  • Wind
  • Wind Shear

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.
  • Fluid Mechanics and Fluid Dynamics.