In order to develop up-wind scheme for convection-diffusion equation under high Reynolds number, exponent or power function was used as power coefficient of auto up-wind. The power coefficient of corner point was computed and skew up-wind property was kept by coordinate system circumgyrating and transform. Moreover, the complete nine-point scheme for 2D convection-diffusion equation was developed. The scheme can be used to curvilinear coordinate grid. It was indicated that the scheme will not changed to simple up wind as Reynolds number increas.
