Author(s)

E. Leriche, S. Gavrilakis and G. Labrosse

Abstract

Direct numerical simulation of lid-driven cavity flow within a 3D inhomogeneous domain on an NEC-SX4 supercomputer E. Leriche*'\ S. Gavrilakis* and G. Labrosse^ *LMF-DGM, Swiss Federal Institute of Technology, Switzerland ^Universite Paris-Slid, LIMSI-CNRS, France ^Institute of non-Newtonian Fluid Mechanics, Department of Mathematics, University of Wales Abstract A tractable global Chebyshev spectral method has been implemented for the solution of the incompressible Navier-Stokes equations in three-dimensional rectangular domains where the flow is inhomogeneous in all spatial directions. The solution procedure for a problem requiring high resolution reaches an average processing rate of 1.9 Gigaflops on a single processor of the NEC-SX4. A parallel version of the algorithm on 16 processors runs at a sustained 26 Gigaflops. A direct numerical simulation with high resolution is performed within a cubical lid-driven cavity at high Reynolds number. The dominant features of the mean flow are

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