Accession Number:

ADA277415

Title:

Analysis and Computation for Vortex Dynamics and Rarefied Gases

Descriptive Note:

Final technical rept. 1 Oct 1989-30 Sep 1993

Corporate Author:

CALIFORNIA UNIV LOS ANGELES DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1993-11-29

Pagination or Media Count:

5.0

Abstract:

Through support of this grant, a number of research projects on vortex dynamics and rarefied gas dynamics were completed. A few of the most outstanding results were the following An analytic theory for singularity formation on the fluid interface in the Rayleigh-Taylor problem was developed and shown to agree with numerical results. Singular solutions were found by direct computation for Moores approximation of the 3D Euler equations for axi-symmetric flow with swirl. Generic form singularities for hyperbolic and elliptic equations were classified using catastrophe theory. The results were applied to shockwaves, vortex sheets and in preliminary work patterns in convective flows

Subject Categories:

  • Theoretical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE