Numerical Study of Compressible Viscous Flow by Pseudosprectral Method.

Abstract

In recent years, an explosion in the capabilities of Computational Fluid Dynamics (CFD) has occured. Since the introduction of the Small Perturbation method of Murman and Cole, transonic CFD has quickly evolved towards Full Potential and Euler methods capable of analyzing a variety of three-dimensional configurations. Although much success has been realized in this field, continued success is inevitable with the ever increasing advances in computing power and faster algorithms. The purpose of this research is to study the applicability of pseudo-spectral schemes for transonic CFD. Several time-stepping procedures were investigated to become familiar with techniques appropriate for the pseudo-spectral scheme. The procedures were tested on two model problems (including Burgers' inviscid equation), and each procedure's stability criterion was determined. The main purpose of these exercises was to provide the author experience and a sense of confidence in several time-stepping procedures, specifically, their accuracy, and their stability as defined by the mathematical analyses.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1986
Accession Number
ADA175064

Entities

People

  • J. C. Vassberg

Organizations

  • University of Southern California

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Chebyshev Polynomials
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Euler Equations
  • Flow
  • Fluid Dynamics
  • Geometry
  • Mathematical Analysis
  • Method Of Characteristics
  • Parallel Computing
  • Parallel Processing
  • Partial Differential Equations
  • Three Dimensional
  • Viscous Flow

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design