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Computing Flows on General Three-Dimensional Nonsmooth Staggered Grids

✍ Scribed by P Wesseling; A Segal; C.G.M Kassels

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
203 KB
Volume
149
Category
Article
ISSN
0021-9991

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✦ Synopsis

The classical staggered scheme for the incompressible Navier-Stokes equations is generalized from Cartesian grids to general boundary-fitted structured grids in three dimensions. The resulting discretization is coordinate-invariant. The unknowns are the pressure and the contravariant volume flux components. The grid can be strongly nonuniform and nonorthogonal. The smoothness properties of the coordinate mapping are carefully taken into account. As a result, the accuracy on rough grids is found to be at least as good as for typical finite element and nonstaggered finite volume schemes.

πŸ“œ SIMILAR VOLUMES

Three-dimensional incompressible Navier–
Three-dimensional incompressible Navier–Stokes equations on non-orthogonal staggered grids using the velocity–vorticity formulation
✍ F. Bertagnolio; O. Daube πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 665 KB

This paper is concerned with the numerical resolution of the incompressible Navier -Stokes equations in the velocity-vorticity form on non-orthogonal structured grids. The discretization is performed in such a way, that the discrete operators mimic the properties of the continuous ones. This allows