D. Et, . Physiques, . Calculs, . De-la6, . Discussions et al., autre part parce qu'il n'existe pas d'´ elément hydrodynamiqué equivalent avec le modèle de Rankine dans l'´ etude de Arendt & al. [8]. Selon Fabre, cette structure cohérenteparticulì erement complexe serait constiuée d'un paquet d'ondes de " quasi-modes " (au sens de Schecter & al. ??) dans le coeur tourbillonnaire, associéè a une spirale torsadée de vorticité

. Dans-le-cadre-de-notre-modélisation, et Re) suggèrent de prendre comme mesure de la non-axisymétricité du tourbillon (? dans l'´ equation 7.23), notre amplitude de perturbation initiale ?. Le choix d'identifier ? avec ? n'est pas du tout trivial car unéventuelunéventuel facteur correctif est possible, ´ etant donné la difficulté difficultéà estimer ?, ` a plus forte raison dans une approche 3D des couches critiques. En fait, le raisonnement qui nous incitè a prendre ? = ? dans l'estimation du paramètre Ha s'appuie sur la méthode d'anti-diffusion du champ de base (cf. paragraphe 5.3.2) En effet, cette technique numérique utilisée dans toutes nos simulations DNS pour calculer " proprement " l'´ evolution instationnaire de la perturbation

. Dans-le-cas, du moins enpremì ere approximation, les paramètres caractéristiques de l'initialisation de notre calcul DNS sur la perturbation hélico¨hélico¨?dale infinitésimalè a haut nombre de Reynolds (m = 1, Re = 100000 et ? = 0.01) conduiraientàconduiraientà Ha = 0.01, c'est-` a-dire Ha << 1. Nous serions alors dans une situation o` u la dynamique des couches critiques serait dominée par les effets des non linéarités

. Visuellement, 49 correspondante en dynamique linéaire (m = 1, Re = 1000 et ? = 0.01, soit Ha = 1.0) montre clairement que l'augmentation du nombre de Reynolds (et donc des " non-linéarités " , en donnant un poids plus fort aux termes convectifs) a pour conséquence d'amplifier considérablement le mécanisme d'enroulement et filamentation des bras spiraux de vorticité, en particulieràparticulierà l'extérieur du coeur du tourbillon. En effet, ces bras spiraux de vorticité en périphérie du noyau tourbillonnaire s'enroulent d'un tour et demi sur la figure 7.117 au lieu d'un quart de tour seulementàseulementà la figure 6.49, alors que la structure dipolaire reste pratiquement inchangéè a l'intérieur du coeur tourbillonnaire, 117à117à Ha = 0.01 avec la figure 6 Cependant, il est très difficile au vu de ces constatations de se prononcer définitivement sur la nature non linéaire ou visqueuse des couches critiques observées sur la figure 7

D. La, D. Non, . Du, and . De-lamb-oseen-d-'un-avion-de-transport, Construction´ etudes de stabilité linéaire et faiblement non linéaire (résolution d'´ equation d'amplitude) A ce titre, la prise en compte des effets des non linéarités enétaitàenétaitenétaità leurs balbutiements, toutparticulì erement 7.7 CONCLUSIONS En effet, il est toutàtoutà fait possible, voire probable , que les couches critiques non linéaires se comportent subitement demanì erefoncì erement différente des couches critiques linéaires pour Re > Re crit , o` u Re crit serait un nombre de Reynolds critique donnant lieù a une instabilité de type croissance transitoire de couches critiques 3D non linéaires non amorties, conduisantàconduisantà un " ´ eclatement " ou une dispersion du tourbillon de sillage, Ce Re crit pourraitêtrepourraitêtre totalement hors de notre portée dans l'´ etat actuel de notre code de calcul DNS et de nos moyens de calcuì a l'ONERA), car l'effet du nombre de Reynolds està està l'´ evidence capital. Celui-ci estàestà plus forte raison plus important en régime non linéaire que dans le régime linéaire. Ces aspects physiques et numériques des couches critiques non linéaires seront discutées respectivement aux paragraphes 8.1 et 8.2, 1970.

. Hippocrate-est-dépassé-;-archimède, . Paracelse, . Vésale, H. Copernic, and W. Shakespeare, Lavoisier sont dépassés. Pascal savant est dépassé, Pascaí ecrivain ne l'est pas, Oeuvrescompì etes de Victor HUGO, p.1882

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