zbMATH — the first resource for mathematics

Partitioned procedures for the transient solution of coupled aeroelastic problems. II: Energy transfer analysis and three-dimensional applications. (English) Zbl 1015.74009
[For part I see the authors and B. Larrouturou, ibid. 124, No. 1-2, 79-112 (1995; Zbl 1067.74521).]
Summary: We consider the solution of large-scale nonlinear dynamic aeroelasticity problems in time-domain using a fluid-structure partitioned procedure. We present a mathematical framework for assessing some important numerical properties of the chosen partitioned procedure and examine its performance in realistic applications. Our analysis framework is based on the estimation of the energy that is artificially introduced at fluid-structure interface by the staggering process that is inherent to most partitioned solution methods. This framework also suggests alternative approaches for time-discretizing the transfer of aerodynamic data from fluid subsystem to structure subsystem, that improves the accuracy and stability properties of the method. We apply this framework to the analysis of several partitioned procedures that have been previously proposed for the solution of nonlinear transient aeroelastic problems. Using two- and three-dimensional, transonic and supersonic wing and panel aeroelastic applications, we validate this framework and highlight its impact on the design and selection of staggering algorithm for the solution of coupled fluid-structure equations.

74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
76G25 General aerodynamics and subsonic flows
74S05 Finite element methods applied to problems in solid mechanics
74S20 Finite difference methods applied to problems in solid mechanics
PDF BibTeX Cite
Full Text: DOI
[1] M. Lesoinne, C. Farhat, Stability analysis of dynamic meshes for transient aeroelastic computations, AIAA Paper No. 93-3325, in: Proceedings of the 11th AIAA Computational Fluid Dynamics Conference, Orlando, Florida, 6-9 July 1993
[2] Farhat, C.; Lesoinne, M.; Maman, N., Mixed explicit/implicit time integration of coupled aeroelastic problems: three-field formulation, geometric conservation and distributed solution, Int. J. numer. meth. fluids, 21, 807-835, (1995) · Zbl 0865.76038
[3] Piperno, S.; Farhat, C.; Larrouturou, B., Partitioned procedures for the transient solution of coupled aeroelastic problems – part I: model problem, theory, and two-dimensional application, Comput. meth. appl. mech. eng., 124, 1-2, 79-112, (1995) · Zbl 1067.74521
[4] J.T. Batina, Unsteady Euler airfoil solutions using unstructured dynamic meshes, AIAA Paper No. 89-0115, in: AIAA 27th Aerospace Sciences Meeting, Reno, Nevada, 9-12 January 1989
[5] Farhat, C.; Degand, C.; Koobus, B.; Lesoinne, M., Torsional springs for two-dimensional dynamic unstructured fluid meshes, Comput. meth. appl. mech. eng., 163, 231-245, (1998) · Zbl 0961.76070
[6] S.A. Morton, R.B. Melville, M.R. Visbal, Accuracy and coupling issues of aeroelastic Navier-Stokes solutions of deforming meshes, AIAA Paper No. 97-1085, in: Proceedings of the 38th AIAA Structures, Structural Dynamics and Materials Conference, Kissimmee, Florida, 7-10 April 1997
[7] Strganac, T.W.; Mook, D.T., Numerical model of unsteady subsonic aeroelastic behavior, Aiaa j., 28, 903-909, (1990)
[8] J. Mouro, Numerical simulation of nonlinear fluid structure interactions problems and application to hydraulic shock-absorbers, in: Proceedings of the Third World Conference on Applied Computational Fluid Dynamics, Basel World User Days CFD, 19-23 May 1996
[9] Gupta, K.K., Development of a finite element aeroelastic analysis capability, J. aircraft, 33, 995-1002, (1996)
[10] E. Pramono, S.K. Weeratunga, Aeroelastic computations for wings through direct coupling on distributed-memory MIMD parallel computers, AIAA Paper No. 94-0095, in: Proceedings of the 32nd Aerospace Sciences Meeting and Exhibit, Reno, 10-13 January 1994
[11] Piperno, S., Explicit/implicit fluid/structure staggered procedures with a structural predictor and fluid subcycling for 2d inviscid aeroelastic simulations, Int. J. numer. meth. fluids, 25, 1207-1226, (1997) · Zbl 0910.76065
[12] M. Lesoinne, C. Farhat, Geometric conservation laws for aeroelastic computations using unstructured dynamic meshes, AIAA Paper No. 95-1709, in: Proceedings of the 12th AIAA Computational Fluid Dynamics Conference, San Diego, California, 19-22 June 1995
[13] Lesoinne, M.; Farhat, C., Geometric conservation laws for flow problems with moving boundaries and deformable meshes and their impact on aeroelastic computations, Comput. meth. appl. mech. eng., 134, 71-90, (1996) · Zbl 0896.76044
[14] Farhat, C.; Lesoinne, M.; LeTallec, P., Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: momentum and energy conservation optimal discretization and application to aeroelasticity, Comput. meth. appl. mech. eng., 157, 95-114, (1998) · Zbl 0951.74015
[15] C. Farhat, M. Lesoinne. On the accuracy, stability, and performance of the solution of three-dimensional nonlinear transient aeroelastic problems by partitioned procedures, AIAA Paper No. 96-1388, in: Proceedings of the 37th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and materials Conference, Salt lake City, Utah, 18-19 April 1996
[16] Lesoinne, M.; Farhat, C., A higher-order subiteration free staggered algorithm for nonlinear transient aeroelastic problems, Aiaa j., 36, 9, 1754-1756, (1998)
[17] Thomas, P.D.; Lombard, C.K., Geometric conservation law and its application to flow computations on moving grids, Aiaa j., 17, 1030-1037, (1979) · Zbl 0436.76025
[18] H. Guillard, C. Farhat, On the significance of the GCL for flow computations on moving meshes, AIAA Paper No. 99-0793, in: Proceedings of the 37th Aerospace Sciences Meeting and Exhibit, Reno, Nevada, 11-14 January 1999
[19] C. Farhat, High performance simulation of coupled nonlinear transient aeroelastic problems, AGARD Report R-807, in: Special Course on Parallel Computing in CFD (l’Aérodynamique numérique et le calcul en parallèle), North Atlantic Treaty Organization (NATO), October 1995
[20] Roe, P.L., Approximate Riemann solvers parameter vectors and difference schemes, J. comput. phys., 43, 357-371, (1981) · Zbl 0474.65066
[21] Farhat, C.; Fezoui, L.; Lantéri, S., Two-dimensional viscous flow computations on the connection machine: unstructured meshes upwind schemes and massively parallel computations, Comput. meth. appl. mech. eng., 102, 61-88, (1991) · Zbl 0767.76049
[22] A. Dervieux, Steady Euler simulations using unstructured meshes, Von Kármán Institute Lecture Series, 1985
[23] Van Leer, B., Towards the ultimate conservative difference scheme V: A second-order sequel to Godunov’s method, J. comput. phys., 32, 361-370, (1979) · Zbl 1364.65223
[24] N’Konga, B.; Guillard, H., Godunov type method on non-structured meshes for three-dimensional moving boundary problems, Comput. meth. appl. mech. eng., 113, 183-204, (1994) · Zbl 0846.76060
[25] B. Koobus, C. Farhat, Second-order implicit schemes that satisfy the GCL for flow computations on dynamic grids, AIAA Paper No. 98-0113, in: Proceedings of the 36th Aerospace Sciences Meeting and Exhibit, Reno, Nevada, 12-15 January 1998
[26] Koobus, B.; Farhat, C., Second-order time-accurate and geometrically conservative implicit schemes for flow computations on unstructured dynamic meshes, Comput. meth. appl. mech. eng., 170, 103-129, (1999) · Zbl 0943.76055
[27] Maman, N.; Farhat, C., Matching fluid and structure meshes for aeroelastic computations: A parallel approach, Comput. struct., 54, 779-785, (1995)
[28] Bisplinghoff, R.L.; Ashley, H.; Halfman, R.L., Aeroelasticity, (1957), Addison-Wesley Reading, MA, USA
[29] J.C. Houbolt, A study of several aerothermoelastic problems of aircraft structures, Mitteilung aus dem Institut für Flugzeugstatik und Leichtbau 5, E.T.H., Zurich, Switzerland, 1958
[30] E.C. Yates, AGARD standard aeroelastic configuration for dynamic response, candidate configuration I. - Wing 445.6, NASA TM-100492, 1987
[31] E.M. Lee-Rausch, J.T. Batina, Wing-flutter boundary prediction using unsteady Euler aerodynamic method, AIAA Paper No. 93-1422, 1993
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.