A NEW BENCHMARK QUALITY SOLUTION FOR THE BUOYANCY-DRIVEN CAVITY BY DISCRETE SINGULAR CONVOLUTION

±Numerical Heat Transfer, Part B, 40: 199 228, 2001Copyright# 2001 Taylor & Francis1040-7790/01 $12.00+ .00A NEW BENCHMARK QUALITY SOLUTIONFOR THE BUOYANCY-DRIVEN CAVITYBY DISCRETESINGULARCONVOLUTIOND. C. Wan, B. S. V. Patnaik, and G. W. WeiDepartment of Computational Science, National University of Singapore,Republic of SingaporeThis article introduces a high-accuracy discrete singular convolution (DSC) for the nu-merical simulation of coupled convective heat transfer problems. The problem of a buoy-ancy-driven cavity is solved by two completely independent numerical procedures. One is aquasi-wavelet-based DSCapproach,whichusestheregularized Shannon skernel, while theother is a standard form of the Galerkin Žnite-element method. The integration of theNavier–Stokes and energy equations is performed by employing velocity correction-based3 8schemes. The entire laminar natural convection range of 10μ Raμ10 is numericallysimulated by both schemes. The reliability and robustness of the present DSC approach isextensively tested and validated by means of grid sensitivity and convergence studies. As aresult, a set of new benchmark quality data is presented. The study emphasizesquantitative,rather than qualitative comparisons.I. INTRODUCTIONConvection by natural means is crucial to ¯ows, in both nature and technol-ogy. There are a variety of real-world applications of natural convection, such asthermal insulation, cooling of electronic equipment, solar ...