A Comparison of Two Formulations for High-Order Accurate Essentially Non-Oscillatory Schemes

Abstract

The finite-volume and finite-difference implementations of high-order accurate essentially non-oscillatory shock-capturing schemes are discussed and compared. Results obtained with fourth-order accurate algorithms based on both formulations are examined for accuracy, sensitivity to grid irregularities, resolution of waves that are oblique to the mesh, and computational efficiency. Some algorithm modifications that may be required for a given application are suggested. Conclusions that pertain to the relative merits of both formulations are drawn, and some circumstances for which each might be useful are noted.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1993
Accession Number
ADA269006

Entities

People

  • Chi-wang Chu
  • H. L. Atkins
  • Jay Casper

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Applied Mathematics
  • Computational Fluid Dynamics
  • Computational Science
  • Computers
  • Contractors
  • Engineering
  • Equations
  • Euler Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Free Stream
  • Geometry
  • Hydrodynamics
  • Mathematics
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Computational Fluid Dynamics (CFD)
  • Theoretical Analysis.