Acoustic-gravity wave dispersion relations in a baroclinic atmosphere

Details

• Personal Author:
  Jones, R. M.
• Corporate Authors:
  Wave Propagation Laboratory
• NOAA Program & Office:
  OAR (Oceanic and Atmospheric Research)
• Description:
  Transforming the linearized inviscid Navier-Stokes equations to a symmetric hyperbolic system of partial differential equations leads to a unique dispersion relation for the propagation of acoustic-gravity waves in a baroclinic atmosphere. The
  
  dispersion relation differs from the usual one because of the presence of a baroclinic term. In addition, C(y-l) -1/2V Zn 0q replaces the Brunt-Vaisala frequency, where C is sound speed, Y is the usual ratio of specific heats, and 0q is potential temperature, and C^((y-l)(V £n + (1/Y - 0.5) ^ in p^ 4- 0.5 V Zn C)^) replaces the square of the acoustic cut-off frequency where p^ is atmospheric pressure. It is argued that this dispersion relation be accepted as the standard for acoustic-gravity waves in either a baroclinic or a barotropic atmosphere.
  
  
• Keywords:
  Gravity Waves Mathematical Models Sound-waves Gravity Waves Mathematical Models
• Series:
  NOAA technical memorandum ERL WPL   112
• Document Type:
  Technical Memorandum
• License:
  https://creativecommons.org/publicdomain/zero/1.0/
• Rights Information:
  CC0 Public Domain
• Compliance:
  Library
• Main Document Checksum:
  urn:sha256:fd469f37c330d7a8f191a55f7dbd1c134306d551be6ac3d598f5598798d3ce1f
• Download URL:
  https://repository.library.noaa.gov/view/noaa/32471/noaa_32471_DS1.pdf
• File Type:
  [PDF - 70.47 MB ]