Free Boundary Problems for Flow With Vorticity

Abstract

The research centered on the study of inviscid flows with concentrated regions of vorticity. There were related studies of numerical conformal mapping and construction of minimal surfaces. The flows past a class of three dimensional bodies was studied using matched asymptotic expansions. The near field was computed using a wake theory developed earlier and the far field was obtained from a superposition of a distribution of vorticity and sources on a line segment. In another paper a class of flows with constant vorticity regions were computed from a variational principle which had been used earlier in theoretical work for such flows. Scattering of electromagnetic waves from a dielectric slab with time varying permittivity was studied, and the Gauss Map was used to construct a new class of minimal surfaces which become vertical on a part of the bounding curve. (jhd)

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Document Details

Document Type
Technical Report
Publication Date
Dec 31, 1989
Accession Number
ADA218415

Entities

People

  • Alan R. Elcrat

Organizations

  • Wichita State University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Asymptotic Series
  • Cartography
  • Computations
  • Conformal Mapping
  • Construction
  • Dirichlet Integral
  • Far Field
  • Flow
  • Fourier Series
  • Inviscid Flow
  • Mathematical Analysis
  • Mathematics
  • Near Field
  • Statistics
  • Three Dimensional
  • Variational Principles

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.
  • Microwave Engineering.