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THMT-12. Proceedings of the Seventh International Symposium On Turbulence Heat and Mass Transfer
September, 24-27, 2012, Palermo, Italy

DOI: 10.1615/ICHMT.2012.ProcSevIntSympTurbHeatTransfPal


ISBN Print: 978-1-56700-302-4

ISSN: 2377-2816

Conservation properties and accuracy of unstructured mesh schemes for the Navier Stokes equations

pages 1310-1321
DOI: 10.1615/ICHMT.2012.ProcSevIntSympTurbHeatTransfPal.1340
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ABSTRAKT

The Navier-Stokes equations is a general model that describes fluid flow by conserving mass and momentum. There are two main mesh discretizations for the computation of the Navier-Stokes equations, the collocated and staggered schemes. Collocated schemes locate the velocity field at the same grid points as the pressure ones, while staggered schemes locate variables at different points within the mesh. One of the most important characteristic of the discretization schemes, aside of accuracy, is their capacity to numerically conserve kinetic energy and momentum, specially when solving turbulent flow. This work analyzes the accuracy and conservation properties of two particular collocated and staggered schemes by solving different problems.

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