SECOND-ORDER UPWIND DIFFERENCING METHOD FOR NONISOTHERMAL CHEMICAL TRANSPORT IN POROUS MEDIA

Publisher Website
Google Scholar
Abstract
A second-order upwind differencing method for convection-diffusion type equations in porous media has been developed. The method utilizes explicit monotonized upwind/central differencing and operator splitting. Various test cases have been considered to verify the accuracy of the numerical method. The results show that the present method greatly reduces numerical diffusion errors and gives no oscillations near fronts for high Peclet numbers. The method has been applied to natural convection in a porous slab. The results indicate that the overall heat transfer (Nussell.number) is not strongly affected by relaxing the Boussinesq approximation. However, the mass flux and temperature distributions in the medium are significantly affected by the temperature- or pressure-dependent fluid properties.