Convergence Acceleration and Shock Fitting for Transonic Aerodynamics Computations.

Abstract

The report presents a method to accelerate convergence of iterative solutions for elliptic and mixed-type partial differential equations. Part two presents shock-fitting method for the line-relaxation solutions to a transonic potential equation. Significant improvements over existing finite-difference methods in speed (economy) and in accuracy are demonstrated in the framework of transonic small-disturbance theory.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1975
Accession Number
ADA009898

Entities

People

  • H. K. Cheng
  • Mohamed M. Hafez

Organizations

  • University of Southern California

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Aerodynamics
  • Computations
  • Convergence
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Real Variables

Fields of Study

  • Physics

Readers

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