On the Geometry and the Solution of Axial-Symmetric Blast TEMPO Waves from a Point Source Explosion.

Abstract

The specific nature of the blast wave problem as a boundary (initial) value problem with moving boundaries in the theory of a system of quasi-linear partial differential equations gave the impetus for developing an approach which is based on geometric-analytical grounds. The idea is to make maximum use of the geometric configuration of the shock wave itself by employing a so-called 'natural system of coordinates'. This makes it possible to handle the shock transition conditions in a relatively simple manner. Furthermore, the boundary value problem with moving boundaries is reduced to a problem with fixed boundaries in a space-time continuum. As a consequence, the blast wave problem can be treated as an initial value problem in the classical sense. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 16, 1963
Accession Number
AD0715465

Entities

People

  • G. M. Schindler

Organizations

  • General Electric

Tags

DTIC Thesaurus Topics

  • Blast
  • Blast Waves
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Explosions
  • Partial Differential Equations
  • Shock
  • Shock Waves
  • Waves

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Combustion Dynamics and Shock Wave Physics.
  • Military History / Militaries and War Studies

Technology Areas

  • Space