Errors in Finite Difference Solutions of Navier-Stokes Equations,

Abstract

This paper is concerned with the accuracy of numerical solutions with coarse meshes of nonlinear partial differential equations, such as the Navier-Stokes. By presuming smooth, convergent difference approximations, some first differential analyses of the computational errors are carried out and an upper error bound of 0.03 Re(Delta x-squared) is recommended for second order accurate conservative difference schemes, computed at Re(Delta x) somewhat > 2.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1978
Accession Number
ADA058322

Entities

People

  • Sin-i Cheng

Organizations

  • Princeton University

Tags

Communities of Interest

  • Counter IED
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Boundaries
  • Computations
  • Difference Equations
  • Differential Equations
  • Equations
  • Equations Of State
  • Errors
  • Gas Dynamics
  • Navier Stokes Equations
  • Partial Differential Equations
  • Physics
  • Reynolds Number
  • Shock
  • Steady State
  • Thermodynamic Processes

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Computational Fluid Dynamics (CFD)