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This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
POTENTIAL ADVECTIVELINEAR AXISYMETRIC
ACOUSTIC
CODE PA2R
S.DUPREY
Département Environnement Simulation NumériqueEADS Corporate Research Center
Toulouse & Suresnes, France
17 Novembre 2004 Suresnes
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
INTRODUCTION
•Principales hypothèses et positionnement scientifique • Ecoulement• Acoustique• Couplage
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
•Gaz parfait adiabatique, isentropique et équation d’Euler pour l’écoulement total •Découplage total écoulement-acoustique, acoustique linéaire et propagation pure•Phénomènes potentiels•Régime harmonique et sources modales (rayonnement moteur avion)•Axisymétrie •Equations intégrales •Elements volumiques H1-conformes
HYPOTHESES PHYSIQUESPOSITIONNEMENT SCIENTIFIQUE
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
FLUIDE PORTEUREQUATIONS
•Ecoulement potentiel• Equation obtenue à l’ordre 0 des équations de l’écoulement total• Flux imposés• Liens entre les variables :
•EDP non linéaire :
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
FLUIDE PORTEURTHEORIE
•Formulation variationnelle :
•Restriction aux régimes subsoniques :
•Point fixe convergent :
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
FLUIDE PORTEUR NUMERIQUE
•Méthode de point fixe numérique inspirée de la théorie•Potentiel à l’étape k calculé par éléments finis H1-conformes•Densité et vitesse calculées à l’étape k+1, constants par éléments•Nouvelle matrice assemblée à chaque itération•Matrice creuse, symétrique et parallélisée•Contrainte de convexité estimée sur chaque élément à chaque itération•Formulation axisymétrique
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
ACOUSTIQUE EQUATIONS
• acoustique potentielle obtenue à l’ordre 1 de l ’écoulement total
• Condition impédante de type Myers sur les parties traitées•Réfraction totale sur les parois rigides non traitées•Sources modales au moteur•Condition de Sommerfeld à l’infini•Formulation axisymétrique•EDP linéaire à coefficients inhomogènes provenant de l’écoulement
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
ACOUSTIQUE COUPLAGE A L’INFINI
Formulation variationnelle
acoustique continue
Discrétisation et
rapatriement
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
ACOUSTIQUE COUPLAGE MODAL
Modes
-6
-4
-2
0
2
4
6
8
10
12
0 0,2 0,4 0,6 0,8 1abscisse
vite
sse
norm
ale
mode01 mode02 mode03 mode11 mode12 mode13
mode21 mode22 mode23 mode31 mode32 mode33
Nouvelle base dofs -> modes
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
ACOUSTIQUE NUMERIQUE
•Problème volumique discrétisé en éléments finis H1-conformes•Assemblage séparé et parallélisé des matrices d’interactions (volumique, modale-volumique,volumique-surfacique, surfacique)•Matrice surfacique intégrale pleine•Matrice volumique non symétrique et creuse (solveur creux)•Complément de Schur (solveur creux)•Singularité sur l’axe
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
TECHNICITE
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
Nombre de Mach Module du potentiel acoustique
Partie réelle potentiel acoustique Partie réelle vitesse acoustique selon y
Résultats acoustiques sur écoulement potentiel (0.2-0.2) k=10
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
Comparaison potentiel-uniforme (0.2-0.2) k=10
Différence absolue partie réelle potentiel acoustiqueDifférence absolue module du potentiel acoustique
Différence relative module du potentiel acoustique
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
Nombre de Mach Module potentiel acoustique
Partie réelle potentielle acoustique Partie réelle vitesse acoustique selon y
Résultats acoustiques sur écoulement potentiel (0.2-0.2) k=40
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
Différence absolue partie réelle potentiel Différence absolue module potentiel acoustique
Différence relative module potentiel
Comparaison potentiel-uniforme (0.2-0.2) k=40
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
Nombre de Mach Module potentiel acoustique
Partie réelle potentielle acoustique Partie réelle vitesse acoustique selon y
Résultats acoustiques sur écoulement potentiel (0.4-0.4) k=10
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
Différence absolue module potentiel acoustique Différence absolue partie réelle potentiel
Différence relative module potentiel
Comparaison potentiel-uniforme (0.4-0.4) k=10
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
Nombre de Mach Module potentiel acoustique
Partie réelle potentielle acoustique Partie réelle vitesse acoustique selon y
Résultats acoustiques sur écoulement potentiel (0.4-0.4) k=40
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
Différence absolue module potentiel acoustique Différence absolue partie réelle potentiel
Différence relative module potentiel
Comparaison potentiel-uniforme (0.4-0.4) k=40
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
Partie réelle potentielle acoustique
Module potentiel acoustique
Partie réelle vitesse acoustique selon y
Pression fluideRésultats acoustiques sur écoulement potentiel (0.2-0.3) k=10
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
Différence absolue module potentiel acoustique Différence absolue partie réelle potentiel
Différence relative module potentiel
Comparaison potentiel-uniforme (0.2-0.3) k=10
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
Pression fluide Module potentiel acoustique
Partie réelle potentielle acoustiquePartie réelle vitesse acoustique selon y
Résultats acoustiques sur écoulement potentiel (0.2-0.3) k=40
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
Différence absolue module potentiel acoustique
Différence absolue partie réelle potentiel
Différence relative module potentiel
Comparaison potentiel-uniforme (0.2-0.3) k=40
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
Une nacelle plus réaliste
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
Ecoulement nul constant mode 00-01
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
Ecoulement potentiel nul à l’infini
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
Ecoulement potentiel nul à l’infini mode 00-01
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
Ecoulement potentiel non nul à l’infini
This document is the property of EADS CCR. It may not be communicated to any third parties and/or reproduced without the prior written consent of EADS CCR and its content may not be disclosed. EADS CCR 2004.
Écoulement potentiel non nul à l’infini mode 00-01
