Adaptive Grid Refinement for Numerical Weather Prediction,

Abstract

An adaptive atmospheric flow model is described and results of integrations with this model are presented. The adaptive technique employed is that of Berger and Oliger. The technique uses a finite difference method to integrate the dynamical equations first on a cargo grid and then on finer grids which have been placed based on a Richardson type estimate of the truncation error in the coarse grid solution. By correctly coupling the integrations on the various grids, periodically reestimating the error nad recreating the finer grids, uniformly accurate solutions are economically producted. The primitive hydrostatic equations of meteorology are solved for the advection of a barotropic cyclone and for the development of a baroclinic disturbance which results from the perturbation of an unstable jet. These integrations demonstrate the feasibility of using multiple, rotated, overlapping fine grids. Direct computations of the truncation error are used to confirm the accuracy of the Richardson type truncation error estimates.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1987
Accession Number
ADA179393

Entities

People

  • Joseph Oliger
  • Robert Lynnwood Street
  • William Skamarock

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Advection
  • Algorithms
  • Atmospheric Sciences
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Fluid Flow
  • Lapse Rate
  • Mathematics
  • Meteorology
  • Stratified Fluids
  • Three Dimensional
  • Two Dimensional
  • Weather Forecasting

Readers

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