Applications of Numerical Conformal Mapping.

Abstract

The application of conformal mapping methods to the solution of free-surface flow problems is considered. Methods of numerical conformal mapping based on Fourier series are extended to handle efficiently problems with time-dependent boundaries. They are shown to be practicable only for moderately distorted geometries. Extensions of the Menikoff-Zemach method to 'breaking' geometries are presented. These latter methods are robust at quite large distortions, but degrade prematurely in time-dependent problems at amplitudes smaller than achieved by our recent vortex methods. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1981
Accession Number
ADA098068

Entities

People

  • Daniel I. Merion
  • Moshe Israeli
  • Steven A. Orszag

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Amplitude
  • Analytic Functions
  • Boundaries
  • Cartography
  • Conformal Mapping
  • Differential Equations
  • Equations
  • Fourier Series
  • Geometry
  • Instability
  • Integral Equations
  • Integrals
  • Periodic Functions
  • Rayleigh Taylor Instability
  • Sequences
  • Simulations
  • Water Waves

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)