@article{M2AN_1994__28_4_463_0, author = {Bardos, Claude and Pironneau, O.}, title = {Petites perturbations et \'equations d'Euler pour l'a\'ero\'elasticit\'e}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {28}, year = {1994}, pages = {463-497}, mrnumber = {1288508}, zbl = {0820.76071}, language = {fr}, url = {http://dml.mathdoc.fr/item/M2AN_1994__28_4_463_0} }
Bardos, C.; Pironneau, O. Petites perturbations et équations d'Euler pour l'aéroélasticité. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 28 (1994) pp. 463-497. http://gdmltest.u-ga.fr/item/M2AN_1994__28_4_463_0/
Aeroelastic Analysis of Launch Vehicles in Transonic Flight, J. Spacecraft, vol. 26, n° 1, 14-23.
,PTLMG User's guide, Dept of Math, UCSD tech. report.
, 1988,Unsteady Euler Algorithm with Unstructured Dynamic Mesh for Complex-Aircraft Aeroelastic Analysis, AIAA Paper 89-1189-CP.
, 1989,Boundary Control, Wave Field Continuation and Inverse Problems for the Wave Equation, Computers Math. Applic., vol. 22, nos 4/5, 27-52. | MR 1127213 | Zbl 0768.35077
, , 1991,Transonic Flutter Analysis Using the Euler Equations, AIAA Paper 87-1238.
, , 1987,Numerical solution of Maxwell equations by fictitious domains, INRIA Report.
,Flux corrected transport, J. Comp. Phys., 20, 20, 397-431. | Zbl 0325.76037
, , 1976,Solution of Helmoltz-Maxwell equations by Variational methods, INRIA Report (à paraître).
, , ,Mathematical methods and finite elements for reservoir simulations, North-Holland.
, , 1986,Ondes Asymptotiques et approchées pour des systèmes d'équations aux dérivées partielles non linéaires, J. Math. Pures et Appliquées, 48, 117-158. | MR 255964 | Zbl 0177.36404
, 1969,Détermination des caractéristiques numériques d'une structure par analyse de ses fonctions de transfert, Rev. Fr. de Mécanique, 59-69.
, 1976,Vibrations aéroélastiques Cours à l'ENSAE (Sup Aéro), dept, Structures matériaux technologie.
, 1978,Steady Euler simulations using unstructured meshes, Von Karman Lecture notes series 1884-04.
, 1985,Tendances actuelles dans les modélisations des phénomènes aéro-élastiques, Contrat CNES 2/91/004.
, ,A Taylor-Galerkin method for convective transport problems, J. Numer. Meth. Eng, 20, 101-120 (See also J. DONEA, L. QUARTAPELLE, V. SELMIN, 1987, An analysis of time discretization in the Finite Element Solution of Hyperbolic problems, J. Comp. Physics, 70, 2. | MR 830474 | Zbl 0524.65071
, 1984,Radiation Boundary Condition for Acoustic and elastic Wave Calculations, Comm. Pure. and Applied Math., 32, 313-357. | MR 517938 | Zbl 0387.76070
and , 1979,Substructure approach for transonic fluid-structure interaction (Thèse de S. Lanteri), University of Boulder Colorado.
, , 1992,Computation of unsteady phenomena in transanic turbines, 4th Symp. on Unsteady Aerodynamics, Aachen, Sept. 1987.
, ,Prediction of flutter at transonic speed, Int Symp on CFD.
, 1991,An introduction to the theory of Aeroelasticity, Dover Publication, New York. | Zbl 1156.74001
, 1969,The cause and cure of periodic flow at transonic speed, ICAS paper 3.10.1.
, 1988,Non linear stability of viscous shock profiles for conservation laws, Arch. Rat. Mech. Anal., 95, 527-563. | MR 853782 | Zbl 0631.35058
, 1986,Remark on the stability of viscous shock waves, SIAM M. Shearer ed., 66-72. | MR 1142641 | Zbl 0825.76399
, 1991,Prediction of unsteady aerodynamics loads in cascades using the linearized Euler eqs on deforming grids, AiAA 91-3378.
, ,Calculation of Unsteady Flows in Turbomachinery Using the Linearized Euler Equations, AIAA Journal, Vol. 2,AIAA Journal, Vol. 2, n° 6, 777-787.
and , 1989,Gust Response of a Cascade Operating in a Nonuniform Mean Flow, presented at the AGARD Propulsion and Energetics Panel 74th Specialists' Meetings on 1, unsteady Aerodynamic Phenomena in Turbomachines, Kirchberg Plateau, Luxemburg, August 28-September 1.
and ,Absorbing Boundary Conditions for the Discretisation Scheme of the one dimensional Wave Equation, Math. Comp., 38,415-429. | MR 645659 | Zbl 0482.65053
, 1982,Well posedness of one Way Wave Equation and absorbing Boundary Conditions, Math. of Comp., 47, 176, 421-435. | MR 856695 | Zbl 0618.65077
and , 1986,Absorbing Boundary Conditions for difference approximation to multidimensionnal Wave Equation, Math. of Comp., 47, 176, 437-459. | MR 856696 | Zbl 0609.35052
, 1986,A new finite element formulation for computational fluid dynamics, Computer Meth. in Appl. Mech. and Eng., 54, 341-355. | MR 836189 | Zbl 0622.76074
, , 1986,Resonantly Interacting Weakly Non Linear Hyperbolic Waves II : Several Space Variables, Stud. Appl. Math., 75, 187-226. | MR 867874 | Zbl 0657.35084
, , , 1986,Transonic flow calculations, Numerical methods in fluid mech. H. Wirz, J. Smolderen eds. McGraw-Hill, 1-87.
, 1978,On the convergence of streamline diffusion finite element methods for hyperbolic conservation laws, in Numerical methods for compressible flows, T. E. Tedzuyar ed. AMD-78.
, , 1987,Coherent and Focusing Multidimensional Nonlinear Geometric Optics, Prépublication n° 9205 Université de Bordeaux I, U.F.R. de Mathématiques et d'Informatique, 351 Cours de la Libération, 33405 Talence Cedex.
, , ,1990, Formal and Rigourous Nonlinear High Frequency Hyperbolic Waves, in Proceedings of Varenna Conference on Nonlinear Hyperbolic Equations and Field Theory, M. K. Murthy, SD. Spagnolo eds., Pitman Research Note in Math. Series, 1992, 121-143. | MR 1175206 | Zbl 0824.35077
Adaptive finite element methods in computed aided engineering, Danmarks Tekniske HOJSKOLE, Matematisk report, 1988-09.
, , 1988,Mécanique des Fluides, MIR Moscou.
, , 1953,Scattering theory (revised ed.), Academic Press. | MR 1037774 | Zbl 0697.35004
, , 1989,Méthode numérique semi-implicite et instationnaire d'interaction fluide visqueux-fluide parfait pour les écoulements décollés transsoniques, La Recherche Aérospatiale, French and Enghsh editions. | Zbl 0546.76023
, , 1984,Calculs d'aérodynamique instationnaire sur des configurations aéroélastiques 2D et 3D définies par l'AGARD, ONERA pub 1985.
, , 1985,Implicit methods of second-order accuracy for the Euler equations, AIAA Paper 83-1925, AIAA Journal, vol. 23 33-40. | MR 770080 | Zbl 0556.76054
, 1985,On the Validity of Linearized Unsteady Euler Equations with Shock Capturing, AIAA Paper 91-1598-CP, Honolulu, Hawai, June 24-27. | Zbl 0792.76036
and , 1991,la méthode HUM, Masson.
, 1989,Laminar and turbulent flows, C. Taylor, W. C. Habashi, H. Hafez eds. Pinnendge press.
, 1987, 3D grid generation by the advancing front method, inFinite element methods for high speed flows, AIAA paper, 85, 1531.
, , , ,Non linear Geometric Optic for Hyperbolic Systems of Conservation Laws, IMA. volume 2, Springer Verlag, New York, 115-1165. | Zbl 0622.65117
,Imaginary poles of radial potentials, Tech. Report., Minneapolis MN55455. | MR 902999 | Zbl 0641.35052
, et , 1986.Resonantly Interacting Weakly Non Linear Hyperbolic Waves I : a Single Space Variables, Stud. Appl. Math., 71, 149-179. | MR 760229 | Zbl 0572.76066
and , 1984,A finite element method for computational fluid dynamics,Doctoral thesis, University of Stanford.
, 1985,Interactions Fluides-Structures RMA, 23, Masson. | MR 1180076 | Zbl 0754.73071
et ,Self adaptive mesh refinements and finite element methods for solving the Euler equations, Proceeding of the ICFD conf., Reading. | Zbl 0606.76076
, , , , 1985,Computational methods for fluid flows, Springer series in computational physics. | MR 770204 | Zbl 0717.76003
, , 1985,Optimal shape design for elliptic Systems, Springer. | MR 725856 | Zbl 0534.49001
, 1983,Unsteady turbomachinery aerodynamics, vol. 1, AGARD-AG-298.
, , 1987,Calcul des pôles de résonance associés a la diffraction d'ondes acoustiques et élastiques en dimension 2, Thèse Université de Paris Dauphine, UER Mathématiques de la décision.
, 1993,Dynamique Générale des vibrations, Masson. | MR 29559 | Zbl 0061.41905
, 1943,Krylov subspace methods for solving unsymmetric linear Systems, Math of Comp., 37, 105-126. | MR 616364 | Zbl 0474.65019
, 1981,Non-Homogeneous Media and Vibration Theory, Lecture notes in physics, 127. | MR 578345 | Zbl 0432.70002
, 1980,Techniques for Accurate, Efficient Computation of Unsteady Transonic Flow, AIAA 91-0597, 1-5.
, and ,Couplage fort fluide parfait, couche limite 2D compressible dans le cas des profils à bord d'attaque aigu. Cas Stationnaire, Rapport ONERA n. 42/1621 RY 093 R.
, 1990,Couplage fort fluide parfait, couche limite 2D compressible dans le cas des profils à bord d'attaque aigu, cas instationnaire des profils isolés et cas stationnaire des grilles d'aubes, Rapport Onera n. 43/1621 RY 093 R, 006.
,Strong coupling between inviscid fluid and boundary layer for airfoils with a sharp edge, II, 2D unsteady case for isilated airfoild and straight blade cascade, Rech. Aérosp., 3, 23-53.
, 1992,Numerical simulations of 3D hypersonic Euler flows around space vehicles using adaptive finite elements, AIAA paper 8705660.
, , , , 1987,Perturbation Methods in Fluid Mechanics, Academic Press New York and London, 99-120. | MR 176702 | Zbl 0136.45001
, 1964,Computation of Unsteady Transonic Flows by the Solution of Euler Equations, AIAA Journal, vol. 26, n° 8, 974-981. | MR 965136
and , 1988,