Analysis and Computation for Vortex Dynamics and Rarefied Gases

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 Moore's 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

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Nov 29, 1993
Accession Number
ADA277415

Entities

People

  • Russel E. Caflisch

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Air Platforms
  • Autonomy

DTIC Thesaurus Topics

  • Cauchy Problem
  • Complex Systems
  • Computations
  • Dynamics
  • Equations
  • Euler Equations
  • Fluids
  • Gas Dynamics
  • Gases
  • Mathematics
  • Monte Carlo Method
  • Rarefied Gas Dynamics
  • Rarefied Gases
  • Rayleigh Taylor Instability
  • Sequences
  • Shock Waves

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.