The first bifurcation in a lid-driven cavity characterized by three-dimensional Taylor–Görtler-Like instabilities is investigated for a cubical cavity with spanwise periodic boundary conditions at . The modes predicted by a global linear stability analysis are compared to the results of a direct numerical simulation. The amplification rate, and the shape of the three-dimensional perturbation fields from the direct numerical simulation are in very good agreement with the characteristics of the steady S1 mode from the stability analysis, showing that this mode dominates the other unstable unsteady modes.
Le but de cette étude est d'étudier les instabilités de type Taylor–Görtler qui mènent à la première bifurcation d'un écoulement de cavité entraînée. Les modes prédits par une analyse de stabilité linéaire globale sont comparés aux résultats d'une simulation numérique directe d'une cavité cubique à avec des conditions aux limites périodiques dans la troisième direction. Le taux d'amplification et la forme des perturbations issues de la simulation numérique directe permettent clairement d'identifier le mode stationnaire S1 de l'analyse de stabilité, qui domine les autres instabilités instationnaires.
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Mots-clés : Mécanique des fluides, Cavité entraînée, Instabilités globales, Simulation numérique directe
Jérèmie Chicheportiche 1; Xavier Merle 1; Xavier Gloerfelt 1; Jean-Christophe Robinet 1
@article{CRMECA_2008__336_7_586_0, author = {J\'er\`emie Chicheportiche and Xavier Merle and Xavier Gloerfelt and Jean-Christophe Robinet}, title = {Direct numerical simulation and global stability analysis of three-dimensional instabilities in a lid-driven cavity}, journal = {Comptes Rendus. M\'ecanique}, pages = {586--591}, publisher = {Elsevier}, volume = {336}, number = {7}, year = {2008}, doi = {10.1016/j.crme.2008.04.007}, language = {en}, }
TY - JOUR AU - Jérèmie Chicheportiche AU - Xavier Merle AU - Xavier Gloerfelt AU - Jean-Christophe Robinet TI - Direct numerical simulation and global stability analysis of three-dimensional instabilities in a lid-driven cavity JO - Comptes Rendus. Mécanique PY - 2008 SP - 586 EP - 591 VL - 336 IS - 7 PB - Elsevier DO - 10.1016/j.crme.2008.04.007 LA - en ID - CRMECA_2008__336_7_586_0 ER -
%0 Journal Article %A Jérèmie Chicheportiche %A Xavier Merle %A Xavier Gloerfelt %A Jean-Christophe Robinet %T Direct numerical simulation and global stability analysis of three-dimensional instabilities in a lid-driven cavity %J Comptes Rendus. Mécanique %D 2008 %P 586-591 %V 336 %N 7 %I Elsevier %R 10.1016/j.crme.2008.04.007 %G en %F CRMECA_2008__336_7_586_0
Jérèmie Chicheportiche; Xavier Merle; Xavier Gloerfelt; Jean-Christophe Robinet. Direct numerical simulation and global stability analysis of three-dimensional instabilities in a lid-driven cavity. Comptes Rendus. Mécanique, Volume 336 (2008) no. 7, pp. 586-591. doi : 10.1016/j.crme.2008.04.007. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2008.04.007/
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