Solution of Potential Problems Using a Spectral Boundary Integral Method

Abstract

The advantages of solving two-dimensional potential problems using spectral boundary integral methods are examined. Using fast Fourier transforms, we expand the spatial coordinates x and y using an arclength parameter s. This spectral representation is very accurate when the geometry is smooth and nodal spacing is uniform. Two spectral formulations are outlined. One is based on Baker's integration scheme at every other node to avoid the kernel singularities, and the other is based on the kernel desingularization of Roberts. An error analysis and convergence studies for several geometries are shown.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1989
Accession Number
ADA250959

Entities

People

  • J. Huh
  • W. W. Schultz

Organizations

  • University of Michigan

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Analytic Functions
  • Applied Mechanics
  • Complex Variables
  • Computational Science
  • Engineering
  • Equations
  • Errors
  • Geometry
  • Integral Equations
  • Integrals
  • Marine Engineering
  • Mechanical Engineering
  • Naval Architecture
  • Shape
  • Three Dimensional
  • Two Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Operations Research
  • Spectroscopy.

Technology Areas

  • Space