Accession Number:

AD0425951

Title:

A NUMERICAL TECHNIQUE FOR SOLUTION OF MULTIDIMENSION HYDRODYNAMIC PROBLEMS

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CA

Personal Author(s):

Report Date:

1963-12-01

Pagination or Media Count:

69.0

Abstract:

This Memorandum discusses in detail a numerical method for solving the compressible, hydrodynamic equations under the limitations of 1 two space dimensions, 2 the inviscid approximation, and 3 the adiabatic approximation. The method allows for the occurrence of shocks, contact discontinuities, and interfaces. Under a proper prescription of initial and boundary conditions, the method generates solutions including the above physical phenomena. The basis of the method is the extension to two space dimensions of the particle-in-cell PIC concept first proposed by Harlow for a one-dimensional computational scheme. The computational method approximates a set of partial differential equations containing terms in addition to those of the compressible, hydrodynamic equations under the approximations cited. The computational scheme contains a feature known as grid-changing, which permits optimum resolution of all phases of the problem using the limited memory capacity of present day electronic computers. Author

Subject Categories:

  • Acoustics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE