Radical Representations of Ship Simulations.

Abstract

Straight lines, circles, and splines are used in most mathematical representations of ship lines. The representations are only piecewise analytic. Discontinuities in curvature occur along waterlines and section lines. The discontinuities upset computations of velocity distribution in the flow around the ship. The discontinuities are smoothed when the lines are approximated by orthonormal polynomials. The discontinuities are eliminated when the lines are simulated with the aid of radicals. A smooth simulation of the Series 60, Block 0.60 ship model is given by a radical representation. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1977
Accession Number
ADA043703

Entities

People

  • Allen V. Hershey

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Cartesian Coordinates
  • Computations
  • Convergence
  • Curvature
  • Discontinuities
  • Geometric Forms
  • Geometry
  • Polynomials
  • Shape
  • Ship Models
  • Sides
  • Simulations
  • Square Roots
  • Surface Waves
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.