Modele numerique de couplage fluide-structure avec application aux moteurs fusee
Keywords:
aeroelasticity, fluid-structural interaction, finite elements, geometricalnonlinearities, shells, shock capturing, parallel calculation, rocket enginesAbstract
A finite element model is presented for studying fluid-structural interaction phenomena e. Domains are assumed axisymmetrical with flexible boundaries that may undergo large displacements. Newmark scheme is used for temporal discretization of structure part. Fluid is supposed compressible, inviscid and perfect. Numerical scheme for fluid is based on a LaxWendro. ff scheme taking into account moving mesh in order to respect parietal compatibilities. A schock capturing technique is added in order to maintain positivity scheme in high gradielll zones. After discussing considerations on a Geometrical Conservation Law, coupling is obtained in establishing a "dialogue" between both codes in using parallel tools to update common variables between fluid and structure. Two calculations are conducted on aeroelasticity with application to rocket engines.
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References
[Act98] Actes du colloque-Proceedings, CNES PARIS. European Seminar on Rocket
Nozzle Aows, octobre 1998.
[BA 75] R. L. Bisplinghoff et H. Ashley. Principles of Aeroelasticity. Wiley and Son,
New York, 1975.
[Bat89] J. T. Batina. «Unsteady Euler airfoil solutions using unstructured dynamic
meshes». AIAA Paper No. 89-0115, A1AA 27th Aerospace Sciences Meeting,
Reno, Nevada, janvier 1989.
[BD90a] J. L. Batoz et G. Dhatt. Modelisation des structures par elements finis- Vol.
Hermes, 1990.
[BD90b] J. L. Batoz et G. Dhatt. Modelisation des structures par elements finis- Vol.
Hermes, 1990.
[CNE96] SERAM CNES. Etude du comportement dynamique du divergent du moteur
Vulcain. Rapport , Laboratoire de Mecanique des Structures secteur
ENSAM, Universite Paris VI- Dossier 60737, 1996.
[Cor92] R. W. Cormack. Numerical computation of compressible viscous flow. Stanford
University course, fevrier 1992.
[DF95a] G. Dhatt et M. Fafard. Mecanique non lineaire. Institut Pour Ia Promotion
des Sciences de I'Ingenieur- Paris, septembre 1995.
[DF95b] G. Dhatt et M. Fafard. Modelisation des coques en grandes rotations. Institut
Pour Ia Promotion des Sciences de I'Ingenieur- Paris, septembre 1995.
[DF95c] G. Dhatt et M. Fafard. Resolution de problemes non lineaires. Institut Pour
Ia Promotion des Sciences de l'lngenieur- Paris, septembre 1995.
[Dow75] E. H. Dowell. Aeroelasticity of plates and shells. Noordhoff International
Publishing, 1975.
[DP88] I. Demirdzic et M. Peric. <
of fluid flow>>. Int. J. for Num. Meth. in Fluids, vol. 8, p. I037-1050,
[DP90] I. Demirdzic et M. Peri c. <
in arbitrarily shaped domains with moving boundaries>>. Int. J. for Num.
Meth. in Fluids, Vol. 10, p. 771-790, 1990.
[DT84] G. Dhatt et G. Touzot. Une presentation de Ia methode des elements finis.
Maloine S.A. Editeur Paris, 1984.
[Far96] C. Farhat. <
aeroelastic problems>>. Ecole d 'Ete - Porquerolles (France) I -6 Juillet, 1996.
[Fun58] Y. C. Fung. An Introduction to the Theory of Aeroelasticity. Wiley and Son,
New York, 1958.
[GB93] G. P. Guruswamy etC. Byun. <
equations coupled with shell finite element structures>>. AIAA Paper
-3087,juillet 1993.
[GB94] A. Geist etA. Beguelin. PVM 3 user's guide and reference manual. Rapport
, Oak Ridge National Laboratory, mai 1994.
[Had97] H. Hadjadj. Analyse Physique et Simulation Numerique des Ecoulements
Compressibles; Application aux Tuyeres de Propulseurs. These, LMFNCORIA,
Universite Rouen- France, 1997.
[HTF97] B. Koobus H. Tran etC. Farhat. <
flows past moving obstacles using the k-t turbulence model on unstructured
dynamic meshes>>. Revue Europeenne des Elements Finis (a paraftre), 1997 .
[JDH82] S. Giuliani J. Donea et J.P. Halleux. <
element method for transient dynamic fluid-structure interactions». Camp.
Meth. in Applied Mechanics and Engineering 33, p. 689-723, 1982.
[Kes97] E. Kessy. Decomposition de domaine et ca1cul paralle1e distribue: Application
a Ia mecanique des fluides. These, LMFN-CORIA, Universite Rouen -
France, 1997.
[Lef98] E. Lefran~ois. Modele numerique de Couplage Fluide-Structure pour
I'Etude des Phenomenes Aeroelastiques avec Application aux Moteurs Fusee.
These, LMFN-CORIA, Universite de Rouen, juin 1998.
[Loh88] R. Lohner. <
moving bodies>>. Computers and Structures, Vol. 30, No. 112, p. 303-317,
[LW60] P. D. Lax et B. Wendroff. <>. Comm. Pure and
Applied Mathematics, 13: p. 217-237, 1960.
[Par96] Parallel CFD 96 - Capri, Italie. Implementations and Results Using Parallel
Computers, A. Hadjadj, E. Kessy, E. Lefran~ois, G. Dhatt and D. Vandromme,
[PASR96] P.R. Schunk P. A. Sackinger et R. R. Rao. «A Newton-Raphson pseudosolid
domain mapping technique for free and moving boundary problems: a
finite element implementation>>. J. of Camp. Physics, 1996.
[PDa94] R. Ohayon P. Destuynder, P. Hernon et al. <
structures et ecoulements>>. Institut pour Ia Promotion des Sciences de I' Ingenieur,
Paris, juin 1994.
[Pek93] L. 0. Pekkari. <
flow>>. AIAA, 29th Joint Propulsion Conference and Exhibit, Monterey, CA,
[Pip94] S. Piperno. Staggered time integration methods for a one-dimensional euler
aeroelastic problem. Rapport , CERMICS, INRIA - Sophia-Antipo1is,
France, decembre 1994.
[Pip95] S. Piperno. Simulation Numerique de Phenomenes d'Interaction Fluide
Structure. These, Ecole Nationale des Ponts et Chaussees, juin 1995.
[RLV87] J. Peraire R. Lohner, K. Morgan et M. Vahdati. <
transport for the Euler and Navier-Stokes equations>>. Int. J. for
Num. Meth. in Fluids, Vol. 7, p. 1093-1/09, 1987.
[Sch73] R. H. Schmucker. Side loads and their reduction in liquid rocket engines.
Rapport , 24th Int. Astron. Congress, Baku, USSR, octobre 1973.
[Sch84] R. H. Schmucker. Flow processes in overexpanded chemical rocket nozzles
- part I. Rapport , NASA - 77396, 1984.
[Sur82] K. S. Surana. «Geometrically nonlinear formulation for the axisymmetric
shell elements». Int. J. for Num. Meth. in Engng., Vol. 18, p. 477-502, 1982.
[TL68] W. J. Tuovila et N. S. Land. Experimental study of aeroelastic instability of
overexpanded rocket nozzle extensions. Rapport, NASA TN D-4471, avril
[TL79] P. D. Thomas etC. K. Lombard. <
to flow computations on moving grids». AIAA J., vol. 17, No. 10, p.
-1037, 1979.
[TM96] P. Le Tallec et J. Mouro. Structures en grands deplacements couplees a des
ftuides en mouvement. Rapport , INRIA - No 2961, aofit 1996.
[TTL92] M. Behr T. Tezduyar et J. Liou. «A new strategy for finite element computations
involving moving boundaries and interfaces -the deforming spatial
domain/space-time procedure: I. the concept and the preliminary numerical
tests». Comput. Meths. Appl. Mech. Engrg., p. 339-351, 1992.
[Wor95] Workshop for Computational Fluid Dynamic Applications in Rocket Propulsion
and Launch Vehicle Technology - Huntsville, Alabama. Fluctuating
Pressure Analysis of a 2-D SSME Nozzle Air Flow Test, avril 1995.
