High-Order ENO Schemes Applied to Two- and Three-Dimensional Compressible Flow

Abstract

High-order essentially non-oscillatory (ENO) finite-difference schemes are applied to the two- and three-dimensional compressible Euler and Navier-Stokes equations. Practical issues, such as vectorization, efficiency of coding, cost comparison with other numerical methods and accuracy degeneracy effects, are discussed. Numerical examples are provided which are representative of computational problems of current interest in transition and turbulence physics. These require both non-oscillatory shock capturing and high resolution for detailed structures in the smooth regions and demonstrate the advantage of ENO schemes.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1991
Accession Number
ADA237344

Entities

People

  • Chi-Wang Shu
  • David Whitaker
  • Gordon Erlebacher
  • Stanley Osher
  • Thomas A. Zang

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Compressible Flow
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Euler Equations
  • Flow Visualization
  • Fluid Dynamics
  • Fluid Flow
  • Mach Number
  • Navier Stokes Equations
  • Reynolds Number
  • Three Dimensional
  • Turbulent Mixing
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)