An Implicit Fourth Order Difference Method for Viscous Flows,

Abstract

An implicit finite difference scheme for viscous flows is presented. The scheme is based on Simpson's rule and two-point Hermite interpolation, has a truncation error of 0(delta sup 5) for fixed delta t/delta x, and is unconditionally stable according to a Fourier stability analysis. Numerical solutions of the Burger's. Euler, and Navier-Stokes equations are presented to illustrate the order and accuracy of the scheme. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1972
Accession Number
AD0746389

Entities

People

  • D. S. Watanaba
  • J. R. Flood

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Errors
  • Flow
  • Interpolation
  • Mathematical Analysis
  • Mathematics
  • Navier Stokes Equations
  • Truncation
  • Viscous Flow

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis
  • Fluid Dynamics.