On Central-Difference and Upwind Schemes

Abstract

A class of numerical dissipation models for central-difference schemes constructed with second- and fourth-difference terms is considered. The notion of matrix dissipation associated with upwind schemes is used to establish improved shock capturing capability for these models. In addition, conditions are given that guarantee that such dissipation models produce a TVD scheme. Appropriate switches for this type of model to ensure satisfaction of the TVD property are presented. Significant improvements in the accuracy of a central- difference scheme are demonstrated by computing both inviscid and viscous transonic airfoil flows.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1990
Accession Number
ADA227206

Entities

People

  • Eli Turkel
  • R. C. Swanson

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Computers
  • Difference Equations
  • Engineering
  • Equations
  • Euler Equations
  • Flow Fields
  • Fluid Dynamics
  • Inviscid Flow
  • Mach Number
  • Navier Stokes Equations
  • Skin Friction
  • Steady State
  • Turbulent Flow
  • Viscous Flow

Fields of Study

  • Physics

Readers

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