Nonlinear Error Analysis of Finite Difference Solutions of Turbulent and Unsteady Flow Fields

Abstract

A computational analysis is performed for the truncation errors incurred in the numerical time integration of the unsteady and/or turbulent Navier-Stokes equations. The means of analysis is via the modified equation approach. Both the MacCormack explicit and Beam-Warming implicit numerical methods are considered. A simplified analysis applied to Burger's equation indicates that the leading order term is both dissipative and dispersive. The modified equation is derived for the aforementioned explicit and implicit methods as applied to the full two-dimensional Navier-Stokes equations. Development of the required Fortran code for solution of the modified equation is expedited through the use of the symbolic manipulation language, MACSYMA.

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Document Details

Document Type
Technical Report
Publication Date
May 23, 1988
Accession Number
ADA198011

Entities

People

  • D. S. Mcrae
  • Goetz H. Klopfer

Organizations

  • Nielsen Engineering & Research (United States)

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Error Analysis
  • Flow
  • Fluid Flow
  • Governments
  • Language
  • Law
  • Mechanical Properties
  • Molecular Dynamics
  • Navier Stokes Equations
  • Notation
  • Two Dimensional

Fields of Study

  • Physics

Readers

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