Preconditioned Density-Based Algorithm for Conjugate Porous/Fluid/Solid Domains

Abstract

A preconditioned density-based finite-volume method is proposed to simulate the coupled fluid flow and heat transfer problems in hybrid porous/fluid/solid domains. In the porous zone, the momentum equation is formulated by the Darcy-Brinkman-Forchheimer model; and the thermal nonequilibrium model is adopted for the energy equation. At the porous/fluid interface, both the stress-jump and stress-continuity models are applied for interfacial hydrodynamic conditions. The preconditioning method for solving the flow equation of porous domain is developed, aiming to eliminate the stiffness of the equation for porous seepage flows. Three test cases in hybrid porous/fluid and porous/solid domains are presented to demonstrate the applicability and accuracy of the numerical algorithm.

Acknowledgments

This work is financially supported by the National Nature Science Foundation of China (50776003), and the Specialized Research Fund for the Doctoral Program of Higher Education (20101102110011).