Accuracy of Weighted Residual Solutions of the Boundary Layer Equations.

Abstract

This research is concerned with investigating the possibility of optimizing Galerkin approximate solutions for boundary layer flow problems. It is shown that the accuracy of Galerkin velocity profiles is strongly dependent on the functions used in the approximate solution. In fact, the accuracy appears to depend continuously on the shapes of the approximating functions. Thus a solution optimization technique based on minimizing the upper error bound may be possible. A digital computer program for generating weighted-residual boundary layer solutions has been developed.

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1971
Accession Number
AD0738338

Entities

People

  • Charles J. Nietubicz
  • Jack G. Crouch

Organizations

  • University of Dayton Research Institute

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • Boundary Layer
  • Boundary Layer Flow
  • Computer Programs
  • Computers
  • Digital Computers
  • Equations
  • Errors
  • Flow
  • Layers
  • Optimization
  • Residuals

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.