A new algorithm for the implementation of wall-functions in high Reynolds number simulations

作者：Alves da Fontoura Rodrigues Jose Luiz; Gontijo Rafael Gabler; Soares Daniel Vieira

来源：Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2013, 35(4): 391-406.

DOI：10.1007/s40430-013-0037-7

• Turbulent boundary layer
• kappa-epsilon model
• Finite elements method
• Wall-function approach

A new optimization algorithm based on a minimum residual technique is introduced to reduce the instability of numerical methods due to using wall functions to specify the boundary conditions for high Reynolds number flows. In the present article, four different models of the wall-function approximation are investigated for separated flow inside a two-dimensional asymmetric straight-walled diffuser. The equations of motion are closed with the kappa- turbulent model. The spatial discretization of the computational domain is performed using a finite element method, whereas the temporal discretization is based on a semi-implicit sequential scheme of finite differences. The pressure-velocity coupling is solved through a variation of the algorithm of Uzawa. Numerical noise resulting from the symmetric treatment of the convective fluxes is treated via a balance dissipation method. The non-linearities resulting from the wall-function explicit calculation are dealt with by a minimal residual method.

• 出版日期2013-11