A Matrix-Free Locally-Implicit Scheme for Navier-Stokes Equations

Abstract

A locally-implicit scheme for steady-state solution of the thin- layer Navier Stokes Equations is simplified by elimination of coefficient matrices. This reduces both arithmetic computation and computer storage requirements. An added benefit is the simplification of the algorithm which eases the coding task. The locally-implicit scheme uses finite-volume spatial discretization, locally implicit time integration, Jameson-type artificial dissipation terms and a modified Gauss Seidel iteration. The modified method is tested for subsonic and transonic flows over an RAE 2822 airfoil. Thesis.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1989
Accession Number
ADA218298

Entities

People

  • Matthew C. Towne

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Boundary Layer
  • Coefficients
  • Computational Fluid Dynamics
  • Computations
  • Differential Equations
  • Equations
  • Euler Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Navier Stokes Equations
  • Partial Differential Equations
  • Steady State
  • Two Dimensional
  • United States

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Fluid Dynamics.
  • Operations Research