Final Report For Grant AFOSR-82-0213.

Abstract

This effort was focused on basic work on the numerical solution of the Navier-Stokes equations for incompressible flows. A basic problem in this theory is the compatibility of the finite element space used to approximate the pressure field. The investigator was able to devise a simple test of the finite element space. An inspection of the solution to this linear system immediately reveals whether the proposed scheme is stable. A second area of activity was an investigation of the applicability of the stream function formulation of the Navier-Stokes equations. This effort resulted in a number of publications in the scientific literature. Author

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1985
Accession Number
ADA166061

Entities

People

  • R. A. Nicolaides

Organizations

  • Carnegie Mellon University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Classification
  • Computations
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Finite Element Analysis
  • Flow
  • Incompressible Flow
  • Information Science
  • Inspection
  • Linear Systems
  • Literature
  • Mathematical Analysis
  • Mathematics
  • Navier Stokes Equations
  • Parallel Computing
  • Parallel Processing

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Research Science/Academic Research
  • Theoretical Analysis.

Technology Areas

  • Space