Accession Number:

AD0743182

Title:

Numerical Experiments to Integrate the Navier-Stokes Equations

Descriptive Note:

Corporate Author:

ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD

Personal Author(s):

• Kitchens, Clarence W., Jr

Report Date:

1972-04-01

Pagination or Media Count:

49.0

Abstract:

A series of numerical experiments are described which solve for the time dependent flow field around a circular cylinder accelerated to supersonic speeds. The study is performed using a computer program developed by Scala and Gordon which models the full time-dependent Navier-Stokes equations. Results are presented for Mach two flow past a cylinder at freestream Reynolds numbers of 15.0, 46.8, 157.2, and 704.6, based on cylinder diameter. The numerical results are compared with analytical solutions and experimental measurements and the accuracy of the numerical results is discussed. These comparisons show where the authors numerical solutions of the Navier-Stokes equations fail to give accurate results.

Descriptors:

• *SUPERSONIC FLOW
• *NAVIER STOKES EQUATIONS
• EQUATIONS OF MOTION
• SHOCK WAVES
• COMPUTER PROGRAMMING
• NUMERICAL ANALYSIS
• DIFFERENCE EQUATIONS
• COMPRESSIBLE FLOW
• CYLINDRICAL BODIES
• NUMERICAL INTEGRATION
• REYNOLDS NUMBER

Subject Categories:

• Numerical Mathematics
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE