A Study of Finite Difference Methods for Solving Viscous and Inviscid Flows.

Abstract

The basic one-dimensional, time dependent gas dynamic equations were solved numerically using a number of second order schemes for the inviscid problems and an implicit fourth order method for both viscous and inviscid problems. The accuracy of the numerical solutions was evaluated by comparison with analytic solutions in most cases. The inviscid problems included accelerating piston, shock wave, compression wave, and isentropic expansion flows. The second order schemes used were MacCormack, Moretti, Richtmyer, Lax-Wendroff, Brailovskaya, Cheng-Allen, Crank-Nicholson, and Dufort-Frankel. Of these, MacCormack's scheme was found to give the best results for the problems considered.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1973
Accession Number
AD0774320

Entities

People

  • James Richard Flood

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Compression
  • Compression Waves
  • Equations
  • Flow
  • Inviscid Flow
  • Shock
  • Shock Waves
  • Waves

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)