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THE APPLICATION OF FLUX-CORRECTED TRANSPORT (FCT) TO HIGH RAYLEIGH NUMBER NATURAL CONVECTION IN A POROUS MEDIUM
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1986
Year
Numerical AnalysisTransient Thermal ConvectionPore StructureHeat Transfer ProcessEngineeringMixed ConvectionFluid MechanicsNumerical TechniqueTransport PhenomenaNatural ConvectionMultiphase FlowHeat TransferThermal EngineeringConvective Heat TransferPorous BodySteady Natural Convection
A numerical technique designed to solve a wide class of convectively dominated flow problems is applied to natural convective flow in a porous medium at large Rayleigh number. The technique is a finite difference method based on flux-corrected transport (FCT) and possesses four desirable numerical properties: stability, accuracy, monotonicity, and conservation. Steady natural convection is investigated for Rayleigh numbers as large as 10,000. An efficient methodology for obtaining steady state solutions is illustrated. A simulation is performed for transient thermal convection at a Rayleigh number of 2500. Transient natural convection involving both heat and mass transfer is illustrated for a Rayleigh number of 2500, Lewis number of 2, and buoyancy ratio of 0.1. All simulations are performed in a square cavity with heated vertical side walls. 17 refs.