Volume 4, Issue 3-4
Speed Windsurfing: Modeling and Numerics

A Kunoth and M. Schlichtenmayer & C. Schneider

Int. J. Numer. Anal. Mod., 4 (2007), pp. 548-558

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  • Abstract

We consider the following problem: Given a finite number of sails of different sizes with prescribed shapes, given the speed of the wind, the weight of a surfer, the size and shape of a surfboard and a corresponding fin; determine the sail and the course such that the windsurfer achieves maximal speed. We develop a simple model for describing the movement of the windsurfer for maximizing the speed in terms of a nonlinear ODE (ordinary differential equation). We conclude with the presentation of corresponding numerical results, some remarks on their validation and more involved models.

  • History

Published online: 2007-04

  • AMS Subject Headings

70F99, 65L06

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