On Balance and Initialization

Abstract

The initialization problem is defined as the problem of obtaining the initial data that are required in order to solve a well posed initial-and- boundary-value problem for the equations of large scale dynamical meteorology. The methods used are based on the exact mathematical treatment of the differential equations of atmospheric motion, rather than on perturbation-type or numerical methods. A simple solution of the initialization problem thus formulated is exhibited in a particular case. It is shown, however, that in general the problem is indeterminate and additional information is required to uniquely find the velocity field. Four-dimensional data assimulation is also discussed.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1973
Accession Number
AD0772501

Entities

People

  • Michael Ghil

Organizations

  • New York University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Cauchy Problem
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Gravity Waves
  • Intellectual Property
  • Measurement
  • Navier Stokes Equations
  • Network Protocols
  • New York
  • Partial Differential Equations
  • Stratified Fluids
  • Two Dimensional
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science/Meteorology
  • Calculus or Mathematical Analysis