Adaptive Grid Refinement for Numerical Weather Prediction

Abstract

This dissertation describes the application of an adaptive solution technique to the dynamical equations used in numerical weather models. The adaptive technique employed is that of Berger and Oliger. It uses a finite difference method to integrate the dynamical equations first on a coarse grid and then on finer grids. The location of the fine grids is determined using a Richardson-type estimate of the truncation error in the coarse grid solution. By correctly coupling the integrations on the various grids, periodically re-estimating the error and recreating the finer grids, approximately uniformily accurate solutions are economically produced.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1987
Accession Number
ADA192172

Entities

People

  • William C. Skamarock

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Atmospheric Motion
  • Atmospheric Sciences
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Convection
  • Differential Equations
  • Euler Equations
  • Fluid Dynamics
  • Fluid Flow
  • Meteorology
  • Partial Differential Equations
  • Stratified Fluids
  • Three Dimensional
  • Two Dimensional
  • Weather Forecasting

Readers

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