Two Kinds of Predictability in the Lorenz System

Abstract

The Lorenz system is used to discuss two kinds of predictability: the model sensitivity to inaccurate initial conditions (first kind) and to inaccurate boundary conditions (second kind). The first kind of predictability has been investigated for a long time, but not the second kind. It was found that the Lorenz system has a capability to detect both kinds of predictability since the boundary condition is represented by a model parameter, r. Two sensitivity runs are designed by perturbing the initial condition and the model parameter r by the same small relative error 10(exp -4), which is equivalent to 10% of the instrumentational accuracy for surface temperature measurement. Comparison of model output between the control run and the sensitivity runs shows that the model error growth and the growing period are comparable between the two kinds of predictability. This indicates the importance of preparing accurate boundary conditions in numerical prediction.

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Document Details

Document Type
Technical Report
Publication Date
May 15, 1999
Accession Number
ADA480365

Entities

People

  • Peter Cheng Chu

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Atmospheric Sciences
  • Boundaries
  • Boundary Value Problems
  • Cartesian Coordinates
  • Climate Change
  • Convection
  • Coordinate Systems
  • Equations
  • Errors
  • Measurement
  • Prandtl Number
  • Sea Surface Temperature
  • Sensitivity
  • Surface Temperature
  • Two Dimensional

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  • Thermal Physics or Thermal Science.