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Efficient vectorized finite-difference method to solve the incompressible navier-stokes equations for 3-D mixed-convection flows in high-aspect-ratio channels

Abstract : A very efficient vectorized code is tailored to solve 3-D incompressible Navier-Stokes equations for mixed-convection flows in high streamwise aspect ratio channels. It is based on Goda's algorithm, second-order finite differences, an incremental factorization method of alternating direction implicit (ADI) type, spectral decomposition of the 1-D Laplace operators, and the tridiagonal matrix algorithm (TDMA). It is shown to be of second order in both space and time by a general method of determining code convergence orders and to have good performance on a NEC-SX5 supercomputer. It is validated through experiments of various Poiseuille-Rayleigh-Bénard flows with steady longitudinal, unsteady transverse, and convectively unstable wavy rolls.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00694583
Contributor : Xavier Nicolas <>
Submitted on : Friday, May 4, 2012 - 6:39:32 PM
Last modification on : Wednesday, September 16, 2020 - 5:22:46 PM
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Abderrahmane Benzaoui, Xavier Nicolas, Shihe Xin. Efficient vectorized finite-difference method to solve the incompressible navier-stokes equations for 3-D mixed-convection flows in high-aspect-ratio channels. Numerical Heat Transfer, Part B Fundamentals, Taylor & Francis, 2005, 48 (3), pp.277-302. ⟨10.1080/10407790590959825⟩. ⟨hal-00694583⟩

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