A Comparison of Six Vertical Discretization Schemes.

Abstract

Six vertical discretization schemes are compared for a linear, baroclinic, vorticity-divergence equation model in this thesis. Variables for the atmospheric prediction model are defined for two staggered and one unstaggered grids. A finite difference and a Galerkin finite element approximation are formulated for each of the three grids. The models are tested in three experiments. The largest difference between the grids occurs in the mid-atmosphere diabatic heat source experiment and the unstaggered grid provides the best results. For the staggered grids, the results of the finite element models are not more accurate than the corresponding finite difference results. Oscillations occur in the temperature profiles near the surface for both staggered finite element models. Results of Rossby wave, Mountain topography, and diabatic heating experiments are presented.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1985
Accession Number
ADA161049

Entities

People

  • Mary S. Jordan

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Atmospheres
  • Differential Equations
  • Engineering
  • Equations
  • Geography
  • Grids
  • Mechanical Engineering
  • Meteorology
  • Oscillation
  • Research Facilities
  • Rossby Waves
  • Schools
  • Security
  • Stratified Fluids
  • United States

Fields of Study

  • Physics

Readers

  • Atmospheric Science/Meteorology
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)