PARAMETRIC REPRESENTATIONS OF NON-STEADY ONE-DIMENSIONAL FLOWS.

Abstract

The determination of non-steady one-dimensional flows can be reduced to solving certain Monge-Ampere equations. Comparison of any two solutions of the same MA-equation shows that the map of one ut-plane onto the other preserves area. A classical parametric representation of all area-preserving maps can be combined with a particular solution of an MA-equation to produce the general solution. Particular solutions can easily be constructed for perfect gases and for a vast number of more general equations of state. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1966
Accession Number
AD0635254

Entities

People

  • John H. Giese

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Equations
  • Equations Of State

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.