A fully coupled RANS Spalart-Allmaras SUPG formulation for turbulent compressible flows on stretched-unstructured grids

Christelle Wervaecke 1 Héloïse Beaugendre 1, 2 Boniface Nkonga 3, 4
1 BACCHUS - Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5800
3 PUMAS - Plasma, tUrbulence, Modeling, Approximation and Simulation
CRISAM - Inria Sophia Antipolis - Méditerranée
4 CASTOR - Control, Analysis and Simulations for TOkamak Research
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : When high Reynolds turbulent flows are combined with complex and large size geometries, computers are no longer enough powerful to deal with Direct Numerical Simulation (DNS) and with the resolution of all the scales of turbulence motion. Therefore, the RANS approaches solve averaged equations and use a model to simulate these scales. This model contains dissipation processes that should not be polluted by the numerical diffusion needed to stabilized approximations for convection-dominated flows. In this paper, we proposed a strongly coupled numerical formulation for the Spalart-Allmaras model, in the framework of stabilized finite element methods. Computations are performed for compressible Newtonian fluids (2D and 3D) on unstructured grids of high aspect ratio. Results are compared with experimental data and also with solutions obtained by different numerical strategies.
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https://hal.inria.fr/hal-00725797
Contributeur : Héloïse Beaugendre <>
Soumis le : lundi 27 août 2012 - 17:46:06
Dernière modification le : vendredi 12 janvier 2018 - 01:48:51

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Christelle Wervaecke, Héloïse Beaugendre, Boniface Nkonga. A fully coupled RANS Spalart-Allmaras SUPG formulation for turbulent compressible flows on stretched-unstructured grids. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2012, 233-236, pp.109-122. 〈10.1016/j.cma.2012.04.003〉. 〈hal-00725797〉

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