Summary
The 3D external viscous flow around a plate is predicted using the velocity-vorticity formulation of the Navier-Stokes equations. The problem is spatially discretized on a staggered grid using second order finite differences. We do not consider any hypothesis on the spatial nature of the flows. A second order Euler backward scheme is employed for the time marching. A decoupled algorithm is presented for the computation of the six components. One component of the velocity vector is calculted through the computation of one 3D elliptic equation. The others are explicitly determinated. Using an influence matrix technique, the method ensures the free-divergence constraint of the fields and the relation ω = ∇ × u.Flows at Re=100 are analysed and compared with the experiments.
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© 1994 Springer Fachmedien Wiesbaden
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Fontaine, J., Loc, T.P. (1994). An Efficient Numerical Algorithm for Velocity Vorticity 3D Unsteady Navier-Stokes Equations: Application to the Study of a Separated Flow Around a Finite Rectangular Plate. In: Hebeker, FK., Rannacher, R., Wittum, G. (eds) Numerical methods for the Navier-Stokes equations. Notes on Numerical Fluid Mechanics (NNFM), vol 47. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14007-8_9
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DOI: https://doi.org/10.1007/978-3-663-14007-8_9
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-07647-4
Online ISBN: 978-3-663-14007-8
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