Aeroelastic Coupling between a Thin Divergent and High Pressure Jets

Authors

  • Eric Schall Universite de Pau, JUT Genie Thermique et Energetique, /,Avenue de l'Universite
  • Raphael Lardat INRIA, 2003 Route des Lucioles, F-06902 Sophia-Antipolis Cedex
  • Alain Dervieux INRIA, 2003 Route des Lucioles, F-06902 Sophia-Antipolis Cedex
  • Bruno Koobus Universite de Montpellier II, Place Eugene Bataillon, Departement de Mathematiques, CC 051, F-34095 Montpellier Cedex 5 and INRIA
  • Charbel Farhat ****University of Colorado at Boulder, Campus Box 429, Dept. of Aerospace Eng. Sciences, Boulder, Colorado 80309-0429, U.S.A

Keywords:

fluid/structure interaction, Arbitrary-Lagrangian-Eulerian formulation, divergent, supersonic jet, Euler equations

Abstract

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.

Downloads

Download data is not yet available.

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.

Downloads

Published

2000-06-10

How to Cite

Schall, E. ., Lardat, R. ., Dervieux, A. ., Koobus, B. ., & Farhat, C. . (2000). Aeroelastic Coupling between a Thin Divergent and High Pressure Jets. European Journal of Computational Mechanics, 9(6-7), 835–851. Retrieved from https://journals.riverpublishers.com/index.php/EJCM/article/view/2883

Issue

Section

Original Article

Most read articles by the same author(s)