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Numerical wind tunnels

Physics Education 2015-12-08 v2

Abstract

Flow of viscous fluids are not usually discussed in detail in general and basic courses of physics. This is due in part to the fact that the Navier-Stokes equation has analytical solution only for a few restricted cases, while more sophisticated problems can only be solved by numerical methods. In this text, we present a computer simulation of wind tunnel, i.e., we present a set of programs to solve the Navier-Stokes equation for an arbitrary object inserted in a wind tunnel. The tunnel enables us to visualize the formation of vortices behind object, the so-called von K\'arm\'an vortices, and calculate the drag force on the object. We believe that this numerical wind tunnel can support the teacher and allow a more elaborate discussion of viscous flow. The potential of the tunnel is exemplified by the study of the drag on a simplified model of wing whose angle of attack can be controlled. A link to download the programs that make up the tunnel appears at the end.

Keywords

Cite

@article{arxiv.1509.06794,
  title  = {Numerical wind tunnels},
  author = {Paulo Victor Santos Souza and Paulo Murilo Castro de Oliveira},
  journal= {arXiv preprint arXiv:1509.06794},
  year   = {2015}
}

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in Portuguese

R2 v1 2026-06-22T11:03:10.778Z