An Analysis of the Flow around a Wind Propeller Using the Finite Element Method

Abstract

To analyze the wind flow around a wind propeller is important in wind engineering. The wind tunnel experiment has issue of cost and time. Additionally, because the shape of a wind propeller influences energy efficiency, wind tunnel experiments must be performed many times. The finite element method is one of the effective numerical approach to simulate wind propeller. But, it is necessary to generate the finite element mesh. To generate the 3-dimensional finite element mesh is almost impossible by hand. Generating any complicated 3-dimensional mesh automatically is very important. In this study, automatic 3-dimensional mesh generation is performed. Additionally, it is fluid-structure interaction analysis. In the finite element method, it is necessary to consider the moving boundaries. The purpose of this study, to generate the complicated 3-dimensional models and to analyze moving boundary problems. In this study, a re-meshing technique for moving boundaries is introduced, and to generate finite element mesh, the Delaunay method is applied. The character of this method is generating mesh from arbitrary nodal distribution of nodal points.

A Parallel Algorithm of Non-Linear Fluid-Solid Coupling Problem for Hydrofoil

“…Suppose a solid body is made of elastic material. Let (U, V) be the elastic displacement in the point (x, y), the elastic displacement equation of body is [13]:…”

“…On the domain with a fixed boundary, the finite element method is often used to calculate fluidsolid coupling problems [13]. The numerical results can be obtained with a formula of variational principle.…”