Application of a Vortex Method to Fluid Dynamics in Sports Science

Abstract

This paper describes a pioneering work of practical application of an advanced vortex method in the field of fluid dynamics in sports science. The vortex method developed by the present authors is one of vortex element methods based on the Biot-Savart law, and it is known that the method provides a Lagrangian simulation of unsteady and vortical flows. In this study, in order to examine the applicability of the vortex method, three-dimensional, complex and unsteady flows around an isolated 100 m runner and a ski-jumper were calculated. Basic equations and mathematical treatment of the method are explained in this paper, and calculation conditions and panel data of deforming configuration of the athletes are described. As results of the present study, vortical and unsteady flow features around a runner and a ski-jumper are understood, and unsteady variation of aerodynamic forces corresponding to deformation of body configuration due to athletic motion are calculated. And, it is confirmed that the advanced vortex element method is a promising way to a grid-free Lagrangian large eddy simulation of unsteady and complex flows around dynamic bodies of athletes.

Recent Development of Lagrangian Vortex Method and Its Application into Fluid Machinery and Fluid Engineering

“…Recently, in order to expand the applicability of the advanced vortex method, the group of the present author has made attempts to apply it into further complicated and vortical flows in several fields. Kamemoto and Ojima (2007) applied the method into the fluid dynamics in sports science, and they simulated three-dimensional, complex and unsteady flows around an isolated 100 m runner, and also reported interesting results of a study on numerical simulation of unsteady flows around a swimming fish by using their vortex method. Iso and Kamemoto (2005) developed a coupled vortex method and particle method analysis tool for numerical simulation of internal unsteady two-phase flows, and they numerically simulated internal liquid-solid two-phase flows in a vertical channel and a mixing tee.…”