A Two-Dimensional Balanced Model of Internal Frontogenesis in Geostrophic and Isentropic Coordinates

Abstract

This theses seeks to both improve and simplify the method by which upper frontogenesis may be studied. Using a two-dimensional form of the geostrophic momentum approximation in geostrophic/isentropic coordinates, our dynamic model reduces to a predictive equation for the potential pseudo-density (inverse Rossby-Ertel potential vorticity), with associated diagnostic equation for the Bernoulli function from which the wind and mass fields can be calculated. Ageostrophic motions are implicit, and vertical motions retained for the adiabatic case employed, by this choice of coordinates. Initialization of the domain incorporates a realistic vertical distribution of the mass field along with upper/lower boundaries which are either isobaric/isentropic or constant potential vorticity surfaces. Vertical wind shears such as are commonly associated with baroclinic waves are idealized and act as the forcing mechanism for frontogenesis. Major model results include the formation of upper fronts with associated wind and thermal fields which, when viewed together, are well correlated with observations of these parameters in terms of magnitude and gradient as well as their proximity to one another. Well-defined folding of the dynamic tropopause occurs in geostrophic space; thus, unlike previous balanced models, the transformation back to physical space is not required in order to produce the desired results. However, performing the coordinate transformation enhances the realism of the results.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1990
Accession Number
ADA227644

Entities

People

  • Norman H. Mandy

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Atmospheric Sciences
  • Boundaries
  • Colorado
  • Coordinate Systems
  • Differential Equations
  • Ecology
  • Equations
  • Geostrophic Wind
  • Grids
  • Isotherms
  • Temperature Gradients
  • Theses
  • Three Dimensional
  • Two Dimensional
  • Universities
  • Wind
  • Wind Shear

Fields of Study

  • Environmental science

Readers

  • Approximation Theory.
  • Atmospheric Science/Meteorology
  • Calculus or Mathematical Analysis

Technology Areas

  • Space