Aeroelastic Coupling between a Thin Divergent and High Pressure Jets
Keywords:
fluid/structure interaction, Arbitrary-Lagrangian-Eulerian formulation, divergent, supersonic jet, Euler equationsAbstract
Rocket divergents concentrate the engine thrust on a light structure. This thrust may provoke deformations, and these deformations may influence the jet. For analysis, we formulate a coupled fluid/structure/moving grid problem, which leads to a numerical model involving a three-field Arbitrary Lagrangian- Eulerian method offering second-order spatial accuracy. It employs a time-staggered procedure for global second-order accurate time-integration of the corresponding coupled semi-discrete equations. We present the transient aeroelastic response obtained with a simplified geometry of divergent when the flow condition induces shock waves either behind or inside the nozzle, for structural designs of small stiffness.
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References
[ASH 62] BISPLINGHOFF R.L. AND ASHLEY H., "Principle of Aeroelasticity", Dover Publications,
ln., 1962.
[LEF 00] LEFRANCOIS E., DHATT G. AND VANDROMME D., "Fluid-Structural Interactions
with Apllications to Rocket Engines", Internal. J. Numer. Meths. Fluids, in press.
[LDV 00] LEFRANCOIS E., DHATT G. AND VANDROMME D., this issue.
[DON 82] DONEA J ., "An Arbitrary Lagrangian-Eulerian Finite Element Method for Transient
Fluid-Structure Interactions", Comput. Meths. Appl. Mech. Engrg. 1982, 33, p. 689-723
[FLM 95] FARHAT C., LESOINNE M. AND MAMAN N., "Mixed Explicit/Implicit Time Integration
of Coupled Aeroelastic Problems: Three-Field Formulation, Geometric Conservation
and Distributed Solution", Internal. J. Numer. Meths. Fluids 21 (1995), p. 807-835
[FAR 95] FARHAT C., "High Performance Simulation of Coupled non-linear Transient
Aeroelastic Problems", AGARD Report R-807, Special Course on Parallel Computing in
CFD (I' A rodynamique numerique et le calcul en parallele, North Atlantic Treaty Organization
(NATO), October 1995.
[VAN 79] VAN LEER B., "Towards the Ultimate Conservative Difference Scheme V: a
Second-Order Sequel to Godunov's Method", J. Comp. Phys. 1979, 32, p. 361-370
[DER 85] DERVIEUX A., "Steady Euler Simulations Using Unstructured Meshes",
Von Karman Institute Lecture Series, 1985.
[ALB 82) VAN ALBADA G. D., VAN LEER B. AND ROBERTS W. W., "A Comparative Study
of Computational Methods in Cosmic Gas Dynamics", Astron. Astrophys. 1982, 108, p.
-84
[LES 95] LESOINNE M. AND FARHAT C., "Geometric Conservation Laws for Aeroelastic
Computations Using Unstructured Dynamic Meshes", AIAA Paper 95-1709, 12th AIAA
Computational Fluid Dynamics Conference, June 19-22, 1995, San Diego, CA.
[NKO 94] NKONGA B. AND GUILLARD H., "Godunov Type Methods on Non-Structured
Meshes for Three-Dimensional Moving Boundary Problems", Comp. Methods Appl. Mech
Engrg. 113 (1994) p. 183-204
[KOO 99] KOOBUS B. AND FARHAT C., "Second-Order Time-Accurate and Geometrically
Conservative Implicit Schemes for Flow Computations on Unstructured Dynamic Meshes",
Computer Methods in Applied Mechanics and Engineering, Vol. 170, p. 103-130 ( 1999).
[BAT 89] BATINA J.T., "Unsteady Euler Airfoil Solutions Using Unstructured Dynamic
Meshes", AIAA paper 89-0115, AIAA 27th Aerospace Sciences Meeting, Reno, Nevada,
January 9-12, 1989.
[FAR 00) FARHAT C., LESOINNE M. AND LE TALLEC P., "Load and Motion TransferAlgorithms
for Fluid/Structure Interaction Problems with Non-Matching Discrete Interfaces:
Momentum and Energy Conservation, Optimal Discretization and Application to Aeroelasticity",
Computer Methods in Applied Mechanics and Engineering, Vol. 157, p. 95-114,
[BOH 84) BOHMER K., HEMKER P., AND STETTER H., "The Defect Correction Approach",
Comput. Supp. 1984, 5:1-32.
[MAR 96] MARTIN R. AND GUILLARD H., "A Second-Order Defect Correction Scheme for
Unsteady Problems", Comput. and Fluids 1996, 25, p.9-27
[FAR 97] FARHAT C., LESOINNE M., STERN P. AND LANTER! S., "High Performance Solution
Procedure of Three-Dimensional Non-Linear Aeroelastic Problems via Parallel Partitioned
Algorithms: Methodology and Preliminary Results", Advances in Engineering Software,
I997, 28, p. 43-61
[FAR 96) FARHAT C. AND LESOINNE M., "On the Accuracy, Stability and Performance of the
Solution of Three-Dimensional Non-Linear Transient Aeroelastic Problems by Partitioned
Procedures", AIAA Paper 96-1388, 37th AIAA/ ASMEJ ASCEJ AHS I ASC Structures, Structural
Dynamics and Materials Conference, April18-19, 1996, Salt Lake City, UT.