✦ LIBER ✦

NUMERICAL SIMULATION OF THREE-DIMENSIONAL INCOMPRESSIBLE FLOW BY A NEW FORMULATION

✍ Scribed by C. J. HO; F. H. LIN

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 576 KB
Volume: 23
Category: Article
ISSN: 0271-2091
DOI: 10.1002/(sici)1097-0363(19961130)23:10<1073::aid-fld464>3.0.co;2-f

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✦ Synopsis

A new mathematical formulation, called the pseudovorticity-velocity formulation, of the three-dimensional incompressible NavierStokes equations is presented as an alternative to the vorticity-velocity approach. For the model lid-driven cavity flow problem in two and three dimensions, combined with an explicit mixed spectral/iinite different numerical scheme the proposed formulation is found to be efficient and very accurate as compared with the results available in the literature. In particular, the simulation results demonstrate an attractive feature of the present formulation compared with the vorticity-velocity approach, namely that the divergencefree condition of the velocity field can always be achieved on a non-staggered mesh.

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