MORPHOLOGY OF UNSTABLE WAVES IN A BAROCLINIC JET.

Abstract

Solution of a system of second-order partial differential equations obtained from linearized approximations to the vorticity and thermodynamic equations yields phase velocities and amplitude functions which are utilized to compute particular solutions of the perturbation stream function field over a net of grid points. These values are combined linearly to obtain general solutions over the entire wave which describe the three-dimensional structure of the perturbations for selected time intervals. Equations for the particular and general perturbation vertical pressure velocities are set forth. A selection of cases representing various vertical and lateral wind profiles and static stability fields, wave lengths, and latitudes are pictured in three dimensions over a 72-hour period. These preliminary results indicate unexpected retrogression of waves of moderate wave length imposed upon a current exhibiting vertical and horizontal jet-like flow. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1964
Accession Number
AD0603431

Entities

People

  • Stanley P. Lewis

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Differential Equations
  • Equations
  • Grids
  • Intervals
  • Latitude
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Perturbations
  • Phase Velocity
  • Three Dimensional
  • Time Intervals

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.