COMPUTATION OF INCOMPRESSIBLE THREE-DIMENSIONAL MIXED CONVECTION FLOWS IN LONG ASPECT RATIO CHANNELS USING AN EFFICIENT FINITE DIFFERENCE METHOD FOR VECTORIAL SUPERCOMPUTERS

摘要

Based on Coda's algorithm and second-order central finite differences, a very efficient vectorized code is tailored to solve 3D incompressible Navier-Stokes equations for mixed convection flows in high streamwise aspect ratio channels. The code takes advantage of incremental factorization method of ADI type, spectral decomposition of the 1D Laplace operators and TDMA algorithm. It is validated through experiments of various Poiseuille-Rayleigh-Benard flows with steady longitudinal and unsteady transverse rolls.