DÉVELOPPEMENT D'UNE MÉTHODE IMPLICITE SANS MATRICE POUR LA SIMULATION 2D-3D DES ÉCOULEMENTS COMPRESSIBLES ET FAIBLEMENT COMPRESSIBLES EN MAILLAGES NON-STRUCTURÉS
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(2) N° : 2006 ENSAM 0007. École Doctorale n°432 : Science des Métiers de l'Ingénieur. THÈSE pour obtenir le grade de. Docteur de. l’École Nationale Supérieure d'Arts et Métiers Spécialité ''Mécanique'' présentée et soutenue publiquement par. Thibaud KLOCZKO le 15 mars 2006. DÉVELOPPEMENT D’UNE MÉTHODE IMPLICITE SANS MATRICE POUR LA SIMULATION 2D-3D DES ÉCOULEMENTS COMPRESSIBLES ET FAIBLEMENT COMPRESSIBLES EN MAILLAGES NON-STRUCTURÉS. Directeur de thèse : Alain LERAT Codirecteur de thèse : Christophe CORRE. Jury : Hervé GUILLARD, Directeur de recherche, SMASH, INRIA Sophia-Antipolis ............ Président Erik DICK, Professeur, Université de Ghent (Belgique) .................................................. Rapporteur Bruno DUBROCA, Professeur associé, MAB, Université Bordeaux I ............................ Rapporteur Alberto BECCANTINI, Ingénieur, LTMF, CEA Saclay ................................................. Examinateur Christophe CORRE, Maître de Conférences, SINUMEF, ENSAM Paris ....................... Examinateur Alain LERAT, Professeur, SINUMEF, ENSAM Paris ..................................................... Examinateur. Laboratoire de Simulation Numérique en Mécanique des Fluides ENSAM, CER de Paris L’ENSAM est un Grand Établissement dépendant du Ministère de l’Éducation Nationale, composé de huit centres : AIX-EN-PROVENCE ANGERS BORDEAUX CHÂLONS-EN-CHAMPAGNE CLUNY LILLE METZ PARIS.
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(27) ^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^M^S^S^ Z a Z n ^· ^· #$R(69 / &<. :!/v/!/2#% @P\])!/2#%igm z,2W2 & ! \( ^ ^S^S^M^S^S^M^S^S^ Z a Z n ^· ^` #$R(69 / &2z &~2M. ^5P\6 !/u 4 #%\^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^M^S^S^ Z aba n ^· ^c P\#% sv /69r ^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^M^S^S^ Z a d n ^ · _^ a &2!. ,2 &2 ^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^M^S^S^ Z g$e n ^· ^g qo /, . . \( ^ ^S^S^M^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^M^S^S^ Z g Z n ^` ji"! R & ^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^M^S^S^ Z g Z n ^ `2^ Z ^n `2_^ [ 0 WC*"! 7r" 9g 2S,2;Cs ^S^S^M^S^S^M^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^M^S^S^ Z g$[ #$R(69 / &<. :!/v/!/2#% @P\])!/2#%igm AR = 1 ^S^M^S^S^M^S^S^M^S^S^S^ Z g$[ n ^ `2^ · #$R(69 / &~gh z !/2";H4 ;³^S^M^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^M^S^S^ Z g · n ^ `2^ ` P\#% sv /69r ^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^M^S^S^ Z g$a n ^ `2^ c &2!. ,2 &2 ^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^M^S^S^ Z g$a n ^ `2_^ a L: 1"8=/"!" &2;HR W. # ^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^M^S^S^ Z g n n ^c ji"! R & ^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^M^S^S^ Z g n n ^c ^Z n ^ c _^ [ 0 WC*"! 7r" 9g 2M"-!86 )^S^M^S^S^M^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^M^S^S^ Z g d ZQ&286 ;CsGR "!" &2;C & &2 ^S^M^S^S^M^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^M^S^S^ Zn e n ^c ^· #$R(69 / &2. :!/v!/2#% P\69 ¥eO]2 "S!/2#%¦^S^M^S^S^M^S^S^M^S^S^M^S^S^ Zn/Z n ^c ^` &2!. ,2 &2 ^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^S^M^S^S^M^S^S^M^S^S^M^S^S^M^S^S^ Zn4· n ^c ^c n. bb. / (. . 9< 7#M# #;H;. E/$*),+.-
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