A Numerical Solution of a Spherical Blast Wave Utilizing a Completely Tabular Equation of State

Abstract

Using an equation of state of air in completely tabular form, a one dimensional, spherically symmetric blast wave calculation has been numerically carried out. An IBM 704 computer was utilized for the calculation. The Rankine-Rugoniot conditions at the shock front and the isentropic changes of the shocked fluid were determined by iterative methods. The numerical methods employed are discussed in some detail, as are the details of the equation of state. The initial starting conditions for this numerical integration were those of Problem M. The numerical results are presented in graphical form. Comparison to Problem M is also displayed graphically. The comparison to Problem M is good, the small differences being attributed to that of equation of state and finite differencing methods.

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Document Details

Document Type
Technical Report
Publication Date
Jun 15, 1959
Accession Number
ADA384501

Entities

People

  • Leland R. Stein

Organizations

  • Los Alamos National Laboratory

Tags

DTIC Thesaurus Topics

  • Blast
  • Blast Waves
  • Complex Systems
  • Difference Equations
  • Differential Equations
  • Energy
  • Equations
  • Equations Of State
  • Explosions
  • High Temperature
  • Kinetic Energy
  • Materials
  • Mathematics
  • New Mexico
  • Numerical Integration
  • Specific Volume
  • Time Intervals

Fields of Study

  • Mathematics

Readers

  • Business Analytics
  • Explosive Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)