Numerical Solutions of Spherical Blast Waves

Abstract

The strong-shock, point-source solution and spherical isothermal distributions were used as initial conditions for a numerical integration of the differential equations of gas motion in Lagrangian form. The Von Neumann-Richtmyer artificial viscosity was employed to avoid shock discontinuities. The solutions were carried from two thousand atmospheres to less than one-tenth atmospheres peak overpressure. Results include overpressure, density, particle velocity, and position as functions of time and space. The dynamic pressure, the positive and negative impulses of both dynamic pressure and static overpressure, positive and negative durations of pressure and velocity, and shock values of all quantities are also described for various times and radial distances. Analytical approximations to the numerical results are provided.

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Document Details

Document Type
Technical Report
Publication Date
Sep 29, 1954
Accession Number
ADA595878

Entities

People

  • H. L. Brode

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Atmospheres
  • Blast
  • Blast Waves
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Dynamic Pressure
  • Equations
  • Gas Dynamics
  • High Pressure
  • Information Operations
  • New York
  • Numerical Integration
  • Overpressure
  • Peak Values
  • Viscosity

Readers

  • Approximation Theory.
  • Combustion Dynamics and Shock Wave Physics.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space