Methods for Computing the Pattern of Compressible Fluid Flow in Nozzles or Past Bodies

Abstract

The method of relaxation was used for a transonic type mixed equation corresponding to transitions from subsonic to supersonic flows. This technique was applied to obtain convergent iteration schemes for an equation of Tricomi type in a rectangle. Research on the method of artificial compression consisted of two parts: 1) Development and analysis of the scheme; 2) Applications to computation fluid dynamics and in particular, to flows with chemically reacting fluids. A study was made on the feasibility of replacing shock fitting techniques for computations of chemically reacting fluids by (i) artificial compression type methods and (ii) image enhancement methods. When computing chemically reacting flows it is extremely important to have a monotone and sharp front. Boundary conditions for time-dependent problems with an artificial boundary. Singular non-linear elliptic problems were studied by the finite element method. In studying the strength of elastic structures a great deal of use has been made of the finite element method to approximate the partial differential equations which govern the equilibria. (jhd)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1979
Accession Number
ADA215169

Entities

People

  • Cathleen S. Morawetz

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Asymptotic Series
  • Compression
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Mathematics
  • New York
  • Partial Differential Equations
  • Supersonic Flow

Readers

  • Fluid Dynamics.
  • Linear Algebra

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Flight