Construction of a Three-Dimensional Finite Volume Grid Generator for a Wing in a Wind Tunnel with Application to Navier-Stokes Flow Solvers

摘要

A grid generation method for three-dimensional single block finite volume meshes is presented. A wing in a wind tunnel with application to Navier-Stokes flow solvers serves as a test example. The selected topology of the mesh is of O-O-type, which gives an inherent grid point concentration near the wing surface. The approach is to define a transformation, which maps the region between the wing and the wind tunnel onto a unit cube in a computational space. A surface mesh on the wing as well as a surface mesh on the wind tunnel walls are generated. The three-dimensional grid is then obtained from transfinite interpolation between the two surfaces. A stretching function makes it possible to control the grid spacing near the wing and the wind tunnel wall surfaces in order to resolve the very thin boundary layers which are needed for a Navier-Stokes flow simulation. A simple second order grid smoother is used in the generation of the two surface meshes.