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

A. Kunoth, M. Schlichtenmayer & C. Schneider

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

Published online: 2007-04

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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.

  • Keywords

speed windsurfing, simple model, flow of air particles, nonlinear ODE, numerical simulation.

  • AMS Subject Headings

70F99, 65L06

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-4-548, author = {Kunoth , A.Schlichtenmayer , M. and Schneider , C.}, title = {Speed Windsurfing: Modeling and Numerics}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2007}, volume = {4}, number = {3-4}, pages = {548--558}, 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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/877.html} }
TY - JOUR T1 - Speed Windsurfing: Modeling and Numerics AU - Kunoth , A. AU - Schlichtenmayer , M. AU - Schneider , C. JO - International Journal of Numerical Analysis and Modeling VL - 3-4 SP - 548 EP - 558 PY - 2007 DA - 2007/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/877.html KW - speed windsurfing, simple model, flow of air particles, nonlinear ODE, numerical simulation. AB -

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.

A. Kunoth, M. Schlichtenmayer & C. Schneider. (1970). Speed Windsurfing: Modeling and Numerics. International Journal of Numerical Analysis and Modeling. 4 (3-4). 548-558. doi:
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