Auto up-wind and skew up-wind numerical solution method of 2D convection-diffusion equation under high Reynolds number

作者：Feng Min Quan^*; Zheng Bang Min

来源：Journal of Sichuan University(Engineering Science Edition), 2006, 38(6): 18-23.

• Auto up wind
• Convection diffusion equation
• Diffusion term
• High Reynolds number
• Numerical solution method
• Power function
• Skew up wind
• Square cavity
• Streamline
• System circumgyrating

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.

• 出版日期2006
• 单位武汉大学