Accession Number : AD0489889

Title :   GENERATION OF AN ELASTIC WAVE BY QUASI-STATIC ISENTROPIC EXPANSION OF A GAS IN A SPHERICAL CAVITY; COMPARISON BETWEEN FINITE DIFFERENCE PREDICTIONS AND THE EXACT SOLUTION.

Descriptive Note : Technical rept. Dec 64-Jun 66,

Corporate Author : AIR FORCE WEAPONS LAB KIRTLAND AFB NM

Personal Author(s) : Cooper, Henry F., Jr

Report Date : SEP 1966

Pagination or Media Count : 50

Abstract : The exact solution is obtained for the spherical wave generated by the quasi-static expansion of a 'gamma law' gas that fills a spherical cavity contained in an elastic medium. The results from several parametric studies involving the particle velocity, the stresses, the 'hydrodynamic' pressure, and the stress deviators are presented. Results from a typical Lagrangian finite difference technique are compared with the exact theory in order to estimate errors that may exist when these techniques are used to calculate numerical solutions for problems that have no exact solution. (Author)

Descriptors :   (*MECHANICAL WAVES, PROPAGATION), (*THERMODYNAMICS, MECHANICAL WAVES), ENTROPY, GASES, BODIES OF REVOLUTION, SPHERES, STRESSES, ERRORS, TRANSFORMATIONS(MATHEMATICS), MATHEMATICAL PREDICTION, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS, APPROXIMATION(MATHEMATICS), VELOCITY, CURVE FITTING, COMPUTER PROGRAMMING, WAVE PROPAGATION, DIFFERENCE EQUATIONS.

Subject Categories : Numerical Mathematics
      Nuclear Physics & Elementary Particle Physics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE