AN ULTRASONIC RAY TRACING PROBLEM,

Abstract

It is required to find the path of an ultrasonic beam projected from an ellipsoid which is moving through a fluid. For subsonic flow the velocity of the fluid is found by separating the variables in LaPlace's equation in semi-elliptic co-ordinates. For supersonic flow the velocity of the fluid was found by a numerical method involving characteristics. The path of the beam was then found by a numerical integration of the ray equation as given by Milne. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 27, 1964
Accession Number
AD0449821

Entities

People

  • Fred I. Grace
  • James P. Coughlin

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

DTIC Thesaurus Topics

  • Ellipsoids
  • Equations
  • Flow
  • Fluid Flow
  • Gas Flow
  • Mathematics
  • Numerical Integration
  • Ray Tracing
  • Subsonic Flow
  • Supersonic Flow

Fields of Study

  • Mathematics
  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Solar Physics
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Hypersonics