A novel flow-oriented discretization scheme for reducing false diffusion in three-dimensional (3D) flows: An application in the indoor environment

作者：Karadimou D P; Markatos N C^*

来源：Atmospheric Environment, 2012, 61: 327-339.

DOI：10.1016/j.atmosenv.2012.07.033

• Computational fluid dynamics
• Numerical scheme
• Euler-Euler method
• Air-particles flow
• Indoor environment

Numerical approximation of the convection terms in the conservation equations is mainly responsible for false diffusion errors. One way to overcome this problem is to use an upwind approximation which essentially follows the streamlines. This approach was originally derived by Raithby (1976a). Patel et al. (1988) derived a different formulation trying to eliminate the shortcomings of the original scheme. The latter approach was formally called CUPID1 (Corner Upwinding) and it was then simplified for 2D flows by SUCCA(2) (Skew Upwind Corner Convection Algorithm). The method outlined in this paper retains the features of CUPID and SUCCA schemes and extents the formulation of the convection terms in a finite volume approach appropriate for 3D flows, including the momentum equations. The new discretization scheme formally called SUPER3 (Skew Upwind and Corner Algorithm) is validated by modelling the indoor two-phase flow of air and particles in the three dimensional geometry of a scale-model room. Furthermore, the performance of the new scheme is compared with the conventional upwind scheme in the case of inclined inflow (theta = 45 degrees). The numerical results indicate that the new scheme has the potential for minimizing false diffusion in three dimensional flows.

• 出版日期2012-12