A Hybrid Scheme for the Near Wall Treatment of Building Cube Method

Abstract

In this paper we explore a new hybrid method for the near wall treatment of viscous computation with block structured Cartesian mesh. Cloud of points are generated to resolve the near wall boundary layer and most of the points are distributed on one-dimensional lines along the wall normal directions, thus enabling the usage of high order scheme for the wall-normal flow derivative. In streamwise direction the flow derivative is approximated using second order least-square meshless method. Compared to the existing wall treatment methods for block structured Cartesian mesh, the current approach retains the flexibility of the least-square method and also offers the opportunity of high order accuracy along the wall-normal direction. A simple method is proposed to generate the near-wall points and it relieves the burden of body-fitted near-wall mesh generation. The current approach is tested with several high Reynolds number flows and the results are discussed.

Keywords

• compressible flow
• turbulent flow
• numerical simulation
• boundary condition
• finite difference method