Use of Lagrangian Coordinates for Ship Wave Resistance (First- and Second-Order Thin-Ship Theory)

Abstract

The wave motion generated by the steady motion of a ship is formulated 'exactly' in Lagrangian coordinates. An approximation scheme is then developed based upon a method of iteration. The first iteration can be chosen so as to yield the Michell thin-ship theory. The second iteration produces more complicated formulas. However, if the smallness of draft/length is taken into account, the formula for the resistance simplifies to one similar to Michell's, but with the integral taken over a modified region and with a modified hull function, plus a line integral over the profile which represents a distribution of dipoles with strength proportional to the waterline slopes.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1967
Accession Number
AD0657315

Entities

People

  • John V. Wehausen

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Contracts
  • Coordinate Systems
  • Differential Equations
  • Engineering
  • Equations
  • Equations Of Motion
  • Flow
  • Fluid Dynamics
  • Governments
  • Resistance
  • Three Dimensional
  • United States Government

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Marine Hydrodynamics