Adaptive Grid Generation for Numerical Solution of Burger's Equation.

Abstract

An adaptive grid generation method is presented which is based on the reduction of truncation error in the computational plane. Grid adaption is achieved through minimization of the third derivative of the dependent variable in the computational plane. Burger's equation is solved because it represents typical nonlinear fluid-flow equations. An optimized Successive-Over-Relaxation method is used to solve Burger's equation using second-order-upwind differences for the convective term. Results are presented for several cases which are compared to the results of a test case. The results show grid points are concentrated in high gradient regions. Originator supplied keywords include: Aerodynamics; Fluid dynamics; Adaptive systems; Computer applications.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1984
Accession Number
ADA152217

Entities

People

  • B. D. Boyd

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Cyber

DTIC Thesaurus Topics

  • Adaptive Systems
  • Air Force
  • Boundary Layer
  • Classification
  • Computational Fluid Dynamics
  • Computational Science
  • Computers
  • Demographic Cohorts
  • Engineering
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Poisson Equation
  • Reynolds Number
  • Security

Fields of Study

  • Engineering

Readers

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