Systems of Quasilinear Equations and Their Applications to Gas Dynamics

Abstract

Mathematical methods of investigating one-dimensional problems in gas dynamics are presented. Systems of quasilinear equations and principal problems for hyperbolic systems are studied in detail. Equations of gas dynamics are derived and investigated; analytic solutions of gas dynamics are presented; discontinuous flows containing shock waves are studied. The fundamentals of the theory of difference schemes are set forth and a variety of numerical solution methods for gas dynamics problems employed in practical calculations are set forth. A theory of the generalized solution is outlined for systems of quasilinear equations of the hyperbolic type. The monograph contains the results of recent work on these problem areas.

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Document Details

Document Type
Technical Report
Publication Date
May 04, 1972
Accession Number
AD0743579

Entities

People

  • Boris L. Rozhdestvenskii
  • Nikolai N. Yanenko

Organizations

  • United States Army Foreign Science and Technology Center

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Equations Of State
  • Fluid Flow
  • Formulas (Mathematics)
  • Functional Analysis
  • Geometric Forms
  • Geometry
  • Hydrodynamics
  • Lines (Geometry)
  • Mechanics
  • Nonlinear Differential Equations
  • Partial Differential Equations
  • Thermodynamics
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Combustion Dynamics and Shock Wave Physics.