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.