Higher-order time-integration schemes for aeroelastic applications on unstructured meshes

AIAA Journal

Volumn 45, Issue 1, 2007, Pages 138-150

  Yang, Zhi ^a,b,c   Mavriplis, Dimitri J ^a,b,c  

^a UNIVERSITY OF WYOMING   (United States)

^b Department of Mechanical Engineering ^*  (United States)

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW EQUATIONS; STRUCTURAL EQUATIONS; TEMPORAL ERRORS;

COMPUTATIONAL GEOMETRY; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENCE EQUATIONS; EQUATIONS OF MOTION; RUNGE KUTTA METHODS;

AERODYNAMICS;

EID: 33846690144     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.22847     Document Type: Article

References (35)

1. Jothiprasad, G., Mavriplis, D. J., and Caughey, D. A., "Higher-Order Time Integration Schemes for the Unsteady Navier-Stokes Equations on Unstructured Meshes," Journal of Computational Physics, Vol. 191, No. 2, 2003, pp. 542-566.
2. Yang, Z., and Mavriplis, D. J., "Unstructured Dynamic Meshes with Higher-Order Time Integration Schemes for the Unsteady Navier-Stokes Equations," AIAA Paper 2005-1222, Jan. 2005.
3. Bijl, H., Carpenter, M. H., Vatsa, V. N., and Kennedy, C. A., "Implicit Time Integration Schemes for the Unsteady Incompressible Navier-Stokes Equations: Laminar Flow," Journal of Computational Physics, Vol. 179, No. 1, 2002, pp. 313-329.
4. Lesoinne, M., and Farhat, C., "Geometric Conservation Laws for Flow Problems with Moving Boundaries and Deformable Meshes, and Their Impact on Aeroelastic Computations," Computer Methods in Applied Mechanics and Engineering, Vol. 134, Nos. 1-2, 1996, pp. 71-90.
5. 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, No. 1-2, 1999, pp. 103-129.
6. Guillard, H., and Farhat, C., "On the Significance of the Geometric Conservation Law for Flow Computations on Moving Meshes," Computer Methods in Applied Mechanics and Engineering, Vol. 190, Nos. 11-12, 2000, pp. 1467-1482.
7. Mavriplis, D. J., and Yang, Z., "Achieving Higher-Order Time Accuracy for Dynamic Unstructured Mesh Fluid Flow Simulations: Role of the GCL," AIAA Paper 2005-5114, June 2005.
8. Mavriplis, D. J. and Yang, Z., "Construction of the Discrete Geometric Conservation Law for High-Order Time Accurate Simulations on Dynamic Meshes," Journal of Computational Physics, Vol. 213, No. 2, 2006, pp. 557-573.
9. Van Zuijlen, A., and Bijl, H., "High Order Time Integration For FluidStructure Interaction on Moving Meshes," AIAA Paper 2005-5247, June 2005.
10. Mavriplis, D. J., "Multigrid Techniques for Unstructured Meshes," Lecture Series, von Kármán Institute for Fluid Dynamics No. 1995-02, 1995.
11. Mavriplis, D. J., "On Convergence Acceleration Techniques for Unstructured Meshes," AIAA Paper 1998-2966, June 1998.
12. Mavriplis, D. J., "An Assessment of Linear Versus Non-Linear Multigrid Methods for Unstructured Mesh Solvers," Journal of Computational Physics, Vol. 175, No. 1, 2002, pp. 302-325.
13. Batina, J. T., "Unsteady Euler Airfoil Solutions Using Unstructured Dynamic Meshes," AIAA Journal, Vol 28, No. 8, 1990, pp. 1381-1288.
14. Venkatakrishnan, V., and Mavriplis, D. J., "Implicit Method for the Computation of Unsteady Flows on Unstructured Grids," Journal of Computational Physics, Vol. 127, No. 2, 1996, pp. 380-397.
15. Farhat, C., Degand, C., Koobus, B., and Lesoinne, M., "Torsional Spring for Two-Dimensional Dynamic Unstructured Fluid Meshes," Computer Methods in Applied Mechanics and Engineering, Vol. 163, No. 1-4, 1998, pp. 231-245.
16. Murayama, M., Nakahashi, K., and Matsushima, K., "Unstructured Dynamic Mesh for Large Movement and Deformation," AIAA Paper 2002-0122, Jan. 2002.
17. Baker, T., and Cavallo, P. A., "Dynamic Adaptation for Deforming Tetrahedral Meshes," AIAA Paper 1999-3253, June 1999.
18. Nielsen, E. J., and Anderson, W. K., "Recent Improvements in Aerodynamic Optimization on Unstructured Meshes," AIAA Journal, Vol. 40, No. 6, 2002, pp. 1155-1163.
19. Mavriplis, D. J., and Venkatakrishnan, V., "A Unified Multigrid Solver for the Navier-Stokes Equations on Mixed Element Meshes," NASA CR-198183, July 1995.
20. Mavriplis, D. J., and Pirzadeh, S., "Large-Scale Parallel Unstructured Mesh Computations for 3D High-Lift Analysis," Journal of Aircraft, Vol. 36, No. 6, Dec. 1999, pp. 987-998.
21. Farhat, C., Geuzaine, P., and Crandmont, C., "The Discrete Geometric Conservation Law and the Nonlinear Stability of ALE Schemes for the Solution of Flow Problems on Moving Grids," Journal of Computational Physics, Vol. 174, No. 2, 2001, pp. 669-694.
22. Thomas, P.,D., and Lombard, C. K., "Geometric Conservation Law and its Application to Flow Computations on Moving Grids," AIAA Journal, Vol. 17, No. 10, 1979, pp. 1030-1037.
23. Koobus, B., and Farhat, C., "On the Implicit Time Integration of Semi-Discrete Viscous Fluxes on Unstructured Dynamic Meshes," International Journal for Numerical Methods in Fluids, Vol. 29, No. 8, 1999, pp. 975-996.
24. Alonso, J. J., and Jameson, A., "Fully-Implicit Time-Marching Aeroelastic Solutions," AIAA Paper 1994-0056, Jan. 1994.
25. Kamakoti, R., Shyy, W., Thakur, S., and Sankar, B., "Time Dependent RANS Computation for an Aeroelastic Wing," AIAA Paper 2004-0886, Jan. 2004.
26. Sadeghi, M., Liu, F., Lai, K., and Tsai, H., "Application of Three-Dimensional Interface for Data Transfer in Aeroelastic Computations," AIAA Paper 2004-5376, Aug. 2004.
27. Harder, R. L., and Desmarais, R. N., "Interpolation Using Surface Splines," Journal of Aircraft, Vol. 9, No. 2, 1972, pp. 189-191.
28. Farhat, C., Lesoinne, M., and 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," Computer Methods in Applied Mechanics and Engineering, Vol. 157, No. 1-2, 1998, pp. 95-114.
29. Liu, F., Cai, J., Zhu, Y., Tsai, H., and Wong, A., "Calculation of Wing Flutter by a Coupled Fluid-Structure Method," Journal of Aircraft, Vol. 38, No. 2, 2001, pp. 334-342.
30. Mavriplis, D. J., "Directional Agglomeration Multigrid Techniques for High-Reynolds Number Viscous Flow," AIAA Journal, Vol. 27, No. 10,1999, pp. 1222-1230.
31. Mavriplis, D. J., "Multigrid Strategies for Viscous Flow Solvers on Anisotropic Unstructured Meshes," Journal of Computational Physics, Vol. 145, No. 1, Sept. 1998, pp. 141-165.
32. Yates, E. C. J., "AGARD Standard Aeroelastic Configurations for Dynamic Response, 1: Wing 445.6," NASA TM 100492, 1987.
33. Bennett, R. M., Batina, J. T., and Cummingham, H. J., "Wing-Flutter Calculations with the CAP-TSD Unsteady Transonic Small-Disturbance Program," Journal of Aircraft, Vol. 26, No. 9, 1989, pp. 876-882.
34. Lee-Rausch, E. M., and Batina, J. T., "Calculation of AGARD Wing 445.6 Flutter Using Navier-Stokes Aerodynamics," AIAA Paper 1993-3476, 1993.
35. Bennett, R. M., and Desmarais, R. N., "Curve Fitting of Aeroelastic Transient Response Data with Exponential Functions," NASA SP 415, May 1975.