(Why?) A Finite Element Algorithm for the Parabolic Navier-Stokes Equations,

Abstract

The three-dimensional Navier-Stokes equations governing steady, turbulent subsonic flows have been simplified into the 'parabolic' form using a formal order of magnitude analysis procedure. The results of this analysis confirm that the transverse momentum equations, to first order, govern appropriate pressure distributions, and that the continuity equation governs first order effects fo transverse plane velocities. This paper summarizes the identification of a well-posed, initial-boundary value differential equation description, and construction and evaluation of a numerical solution algorithm for the parabolic Navier-Stokes equations in physical variables. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1983
Accession Number
ADP001937

Entities

People

  • A. J. Baker

Organizations

  • University of Tennessee system

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Differential Equations
  • Equations
  • Flow
  • Navier Stokes Equations
  • Pressure Distribution
  • Subsonic Flow
  • Three Dimensional
  • Transverse

Readers

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