Application of a three-field nonlinear fluid–structure formulation to the prediction of the aeroelastic parameters of an F-16 fighter

Farhat C. High performance simulation of coupled nonlinear transient aeroelastic problems. AGARD Report R-807, Special Course on Parallel Computing in CFD (1'Aérodynamique numérique et le calcul en parallèle), North Atlantic Treaty Organization (NATO), October 1995

Dat R, Meurzec JL. Sur les calculs de flottement par la method dite du “balayage” en frequence reduite, La Recherche Aerospatiale 133, November and December 1969

Hassig, 1971, An approximate true damping solution of the flutter equation by determinant iteration, J Aircraft, 8, 885, 10.2514/3.44311

Albano, 1969, A doublet-lattice method for calculating lift distribution on oscillating surfaces in subsonic flow, AIAA J, 7, 279, 10.2514/3.5086

Ashley, 1956, Piston theory––a new aerodynamic tool for the aeroelastician, J Aero Sci, 23, 1109, 10.2514/8.3740

Yurkovich RN, Liu DD, Chen PC. The state-of-the-art of unsteady aerodynamics for high performance aircraft, AIAA Paper no. 2001-0428, 39th AIAA Aerospace Sciences Meeting & Exhibit, 8–11 January 2001, Reno, NV

Lesoinne M, Farhat C. Stability analysis of dynamic meshes for transient aeroelastic computations, AIAA Paper no. 93-3325, 11th AIAA Computational Fluid Dynamics Conference, 6–9 July 1993, Orlando, FL

Donea, 1982, An arbitrary Lagrangian–Eulerian finite element method for transient fluid–structure interactions, Comput Meths Appl Mech Engng, 33, 689, 10.1016/0045-7825(82)90128-1

Batina JT. Unsteady Euler airfoil solutions using unstructured dynamic meshes, AIAA Paper no. 89-0115, AIAA 27th Aerospace Sciences Meeting & Exhibit, 9–12 January 1989, Reno, NV

Farhat, 1995, Mixed explicit/implicit time integration of coupled aeroelastic problems: three-field formulation, geometric conservation and distributed solution, Int J Numer Meths Fluids, 21, 807, 10.1002/fld.1650211004

Lesoinne M, Farhat C. Geometric conservation laws for aeroelastic computations using unstructured dynamic meshes, AIAA Paper no. 95-1709, 12th AIAA Computational Fluid Dynamics Conference, 19–22 June 1995, San Diego, CA

Lesoinne, 1996, Geometric conservation laws for flow problems with moving boundaries and deformable meshes and their impact on aeroelastic computations, Comput Meths Appl Mech Engng, 134, 71, 10.1016/0045-7825(96)01028-6

Koobus, 1999, Second-order time-accurate and geometrically conservative implicit schemes for flow computations on unstructured dynamic meshes, Comput Meths Appl Mech Engng, 170, 103, 10.1016/S0045-7825(98)00207-2

Piperno, 2001, Partitioned procedures for the transient solution of coupled aeroelastic problems––Part II: energy transfer analysis and three-dimensional applications, Comput Meths Appl Mech Engng, 190, 3147, 10.1016/S0045-7825(00)00386-8

Guillard H, Farhat C. On the significance of the GCL for flow computations on moving meshes, AIAA Paper no. 99-0793, 37th Aerospace Sciences Meeting & Exhibit, 11–14 January 1999, Reno, NV

Guillard, 2000, On the significance of the geometric conservation law for flow computations on moving meshes, Comput Meths Appl Mech Engng, 190, 1467, 10.1016/S0045-7825(00)00173-0

Thomas, 1979, Geometric conservation law and its application to flow computations on moving grids, AIAA J, 17, 1030, 10.2514/3.61273

NKonga, 1994, Godunov type method on non-structured meshes for three-dimensional moving boundary problems, Comput Meths Appl Mech Engng, 113, 183, 10.1016/0045-7825(94)90218-6

Morton SA, Melville RB, Visbal MR. Accuracy and coupling issues of aeroelastic Navier–Stokes solutions of deforming meshes, AIAA Paper no. 97-1085, 38th AIAA Structures, Structural Dynamics and Materials Conference, 7–10 April 1997, Kissimmee, FL

Formaggia, 1999, A stability analysis for the arbitrary Lagrangian–Eulerian formulation with finite elements, East–West J Numer Math, 7, 105

Hughes, 1983, Analysis of transient algorithms with particular reference to stability behavior, 67

Koobus, 1999, On the implicit time-integration of semidiscrete viscous fluxes on unstructured dynamic meshes, Int J Numer Meths Fluids, 29, 975, 10.1002/(SICI)1097-0363(19990430)29:8<975::AID-FLD837>3.0.CO;2-W

Strganac, 1990, Numerical model of unsteady subsonic aeroelastic behavior, AIAA J, 28, 903, 10.2514/3.25137

Gupta, 1996, Development of a finite element aeroelastic analysis capability, J Aircraft, 33, 995, 10.2514/3.47046

Pramono E, Weeratunga SK. Aeroelastic computations for wings through direct coupling on distributed-memory MIMD parallel computers, AIAA Paper no. 94-0095, 32nd Aerospace Sciences Meeting & Exhibit, Reno, 10–13 January 1994, Reno, NV

Mouro J. Numerical simulation of nonlinear fluid–structure interactions problems and application to hydraulic shock-absorbers, Proc Third World Conf Appl Computational Fluid Dynamics, Basel World User Days CFD, 19–23 May 1996

Farhat, 1998, A higher-order subiteration free staggered algorithm for nonlinear transient aeroelastic problems, AIAA J, 36, 1754, 10.2514/2.7555

Dervieux A. Steady Euler simulations using unstructured meshes, Von Kármán Institute Lecture Series, 1985

Farhat, 1998, Torsional springs for two-dimensional dynamic unstructured fluid meshes, Comput Meths Appl Mech Engng, 163, 231, 10.1016/S0045-7825(98)00016-4

Koobus, 2000, Computation of unsteady viscous flows around moving bodies using the k–ε turbulence model on unstructured dynamic grids, Comput Meths Appl Mech Engng, 190, 1441, 10.1016/S0045-7825(00)00172-9

Cai, 1998, A minimum overlap restricted additive Schwarz preconditioner and applications in 3D flow simulations, Contemp Math, 218, 478

Lesoinne M, Lieu T. A Geometrically non-linear mesh motion technique for large displacements of unstructured fluid meshes for aeroelastic simulations, Proceedings ECCM-2001 Conference, Poland

Farhat C, Pierson K, Degand C. A CFD based simulation of the unsteady aeroelastic response of a maneuvering vehicle, Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS), 11–14 September 2000, Barcelona, Spain

Maman, 1995, Matching fluid and structure meshes for aeroelastic computations: a parallel approach, Comput Struct, 54, 779, 10.1016/0045-7949(94)00359-B

Farhat, 2000, Two efficient staggered procedures for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems, Comput Meths Appl Mech Engng, 182, 499, 10.1016/S0045-7825(99)00206-6

Juang, 1985, An eigensystem realization algorithm (ERA) for modal parameter identification and model reduction, J Guidance Control Dyn, 8, 620, 10.2514/3.20031

Farhat C, Harris C, Rixen D. Expanding a flutter envelope using accelerated flight data: application to an F-16 fighter configuration, AIAA Paper no. 2000-1702, 41st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 3–6 April 2000, Atlanta, GA