RESEARCH ON THE GENERATION AND PROPAGATION OF WATER WAVES PRODUCED BY UNDERWATER EXPLOSIONS. PART I. PROPAGATION THEORY NEAR THE EXPLOSION.

Abstract

The objective of this report is to present a method of numerically integrating the Kranzer-Keller equations for explosively generated water waves, and to compare results of the integration method with those obtained from the classical method of stationary phase. Particular attention is paid the near-source area. A previous report discusses a method for evaluating the solution for n(r,t) when the accuracy of the stationary phase approximation becomes questionable. The following report reviews this method, and presents the results of some sample calculations. The accuracy of the integration method is analyzed and results of a parameter study on the error bound are presented. A table of the first 200 zeros of Jo(x), the first 100 zeros of J1(x), and the first 100 zeros of J2(x) calculated to 19 decimal places is given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1964
Accession Number
AD0462481

Entities

People

  • Robert W. Whalin

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Demographic Cohorts
  • Equations
  • Explosions
  • Stationary
  • Underwater Explosions
  • Water Waves
  • Waves

Readers

  • Calculus or Mathematical Analysis
  • Combustion Dynamics and Shock Wave Physics.
  • Solar Photovoltaics and Thermoelectric Devices.