Second-order implicit schemes that satisfy the GCL for flow computations on dynamic grids

36th AIAA Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 1998, Pages

  Koobus, Bruno ^a   Farhat, Charbel ^a  

^a UCB 450   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE ENGINEERING; TRANSONIC FLOW;

ARBITRARY LAGRANGIAN EULERIAN FORMULATIONS; GEOMETRIC CONSERVATION LAWS; IMPLICIT SCHEMES; MOVING BOUNDARIES; SEMI-DISCRETE EQUATIONS; SPATIAL DISCRETIZATIONS; TEMPORAL DISCRETIZATION; THREE-DIMENSIONAL FLOW;

COMPUTATIONAL EFFICIENCY;

EID: 85088750704     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1998-113     Document Type: Conference Paper

References (18)

1. J. Donea, An Arbitrary Lagrangian-Eulerian Finite Element Method for Transient Fluid-Structure Interactions, Comput. Meths. Appl. Mech. Engrg. 1982, 33: 689-723.
2. C. Farhat, M. Lesoinne and N. Maman, Mixed Explicit/Implicit Time Integration of Coupled Aeroelastic Problems: Three-Field Formulation, Geometric Conservation and Distributed Solution, Internat. J. Numer. Meths. Fluids 1995, 21: 807-835.
3. J. T. Batina, Unsteady Euler Airfoil Solutions Using Unstructured Dynamic Meshes, AIAA Paper 89-0115, AIAA 27th Aerospace Sciences Meeting, Reno, Nevada, January 9-12, 1989.
4. M. Lesoinne and C. Farhat, Geometric Conservation Laws for Flow Problems with Moving Boundaries and Deformable Meshes, and Their Impact on Aeroelastic Computations, Comput. Meths. Appl. Mech. Engrg. 1996, 134: 71-90.
5. P. D. Thomas and C. K. Lombard, Geometric Conservation Law and its Application to Flow Computations on Moving Grids, AIAA J. 1979, 17: 1030-1037.
6. H. Zhang, M. Reggio, J. Y. Trépanier and R. Camarero, Discrete Form of the GCL for Moving Meshes and its Implementation in CFD Schemes, Comput. Fluids 1993, 22: 9-23.
7. B. NKonga and H. Guillard, Godunov Type Method on Non-Structured Meshes for ThreeDimensional Moving Boundary Problems, Comp. Meths. Appl. Mech. Engrg. 1994, 113: 183-204.
8. S. A. Morton, R. B. Melville, and M. R. Visbal, Accuracy and coupling issues of aeroelastic Navier-Sokes solutions of deforming meshes, AIAA Paper 97-1085, 38th AIAA Structures, Structural Dynamics and Materials Conference, Kissimmee, Florida, April 7-10, 1997.
9. C. Farhat, High performance simulation of coupled nonlinear transient aeroelastic problems, AGARD Report R-807, Special Course on Parallel Computing in CFD (l'Aérodynamique numérique et le calcul en parallèle), North Atlantic Treaty Organization (NATO), October 1995.
10. L. Fezoui and B. Stoufflet, A class of implicit upwind schemes for Euler simulations with unstructured meshes, J. Comp. Phys. 1989, 84: 174-206.
11. B. Koobus and C. Farhat, Time-accurate Algorithms for the Evaluation of the Viscous Fluxes Associated with Unsteady Flows and Unstructured Moving Meshes, AIAA Paper 96-2384, 14th AIAA Applied Aerodynamics Conference, New Orleans, Louisiana, June 18-20, 1996.
12. E. Martin, Développement de méthodes de cal-culs efficaces pour des écoulements instation-naires en géométrie deformable, These, Univer-sité de Nice-Sophia-Antipolis, Février 1996.
13. E. C. Yates, AGARD standard aeroelastic configuration for dynamic response, candidate configuration I.-Wing 445. 6, NASA TM-100492, 1987.
14. E. M. Lee-Rausch and J. T. Batina, Wing-flutter boundary prediction using unsteady Euler aerodynamic method, AIAA Paper No. 931422, 1993.
15. K. K. Gupta, Development of a finite element aeroelastic analysis capability, Journal of Aircraft 1996, 33: 995-1002.
16. P. L. George, Improvement on Delaunay based 3D automatic mesh generator, Finite Elements in Analysis and Design, 1997, 25: 297-317.
17. C. Farhat, M. Lesoinne, P. Stern and S. Lantéri, High performance solution of three-dimensional nonlinear aeroelastic problems via parallel partitioned algorithms: methodology and preliminary results, Advances in Engineering Software, 1997, 28: 43-61.
18. R. Martin and H. Guillard, A second order defect correction scheme for unsteady problems, Computers and Fluids 1996, 25: 9-27.