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

Abstract

This paper is to introduce recent works of practical applications of vortex methods in the field of fluid machinery and fluid engineering, explaining the mathematical basis of the method based on the Biot-Savart law. It is pointed as one of the most attractive features of the vortex method that the numerical simulation using the method is considered to be a new and simple technique of large eddy simulation, because they consist of simple algorithm based on physics of flow of viscous fluid and it provides a completely grid-free Lagrangian calculation. As typical examples of simulation of complex flows, the internal flow of a mixed-flow pump calculated by the vortex method and the vortical flow around a flexible circular cylinder in a uniform stream which was simulated by a coupled structure and fluid analysis based on FEM and the vortex method are digested.