Application of parallel adjoint-based error estimation and anisotropic grid adaptation for three-dimensional aerospace configurations

Collection of Technical Papers - AIAA Applied Aerodynamics Conference

Volumn 1, Issue , 2005, Pages 511-533

  Lee Rausch, E M ^a,b   Park, M A ^a,c   Jones, W T ^a,c   Hammond, D P ^a,c   Nielsen, E J ^a,c  

^a AIAA   (United States)

^b NASA LANGLEY RESEARCH CENTER   (United States)

^c NASA LaRC   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; DRAG; ERROR ANALYSIS; PARALLEL PROCESSING SYSTEMS;

AEROSPACE CONFIGURATIONS; DISCRETIZATION ERROR; ERROR ESTIMATION;

AEROSPACE ENGINEERING;

EID: 28844499993     PISSN: 10485953     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2005-4842     Document Type: Conference Paper

References (68)

1. Rumsey, C. L., Lee-Rausch, E. M., and Watson, R. D., "Three- Dimensional Effects on Multi-Element High Lift Computations," Computers and Fluids, Vol. 32, No. 5, 2003, pp. 631-657,
2. See also AIAA Paper 2002-0845.
3. Laflin, K. R., Vassberg, J. C., Wahls, R. A., Morrison, J. H., Brodersen, O., Rakowitz, M., Tinoco, E. N., and Godard, J.-L., "Summary of Data from the Second AIAA CFD Drag Prediction Workshop," AIAA Paper 2004-0555, Jan. 2004.
4. Hemsch, M. J. and H., M. J., "Statistical Analysis of CFD Solutions from 2nd Drag Prediction Workshop (Invited)," AIAA Paper 2004-0556, Jan. 2004.
5. Levy, D. W., Zickuhr, T., Vassberg, J., Agrawal, S., Wahls, R. A., Pirzadeh, S., and Hemsch, M. J., "Data Summary from the First AIAA Computational Fluid Dynamics Drag Prediction Workshop," AIAA Journal of Aircraft, Vol. 40, No. 5, 2003, pp. 875-882,
6. See also AIAA Paper 2002-0841.
7. Hemsch, M. J., "Statistical Analysis of Computational Fluid Dynamics Solutions from the Drag Prediction Workshop," AIAA Journal of Aircraft, Vol. 41, No. 1, 2004, pp. 95-103,
8. See also AIAA Paper 2002-0842.
9. Peraire, J., Vahdati, M., Morgan, K., and Zienkiewicz, O. C., "Adaptive Remeshing for Compressible Flow Computations," Journal of Computational Physics, Vol. 72, 1987, pp. 449-466.
10. Warren, G. P., Anderson, W., Thomas, J. L., and Krist, S. L., "Grid Convergence for Adaptive Methods," Tech. Rep. AIAA-91-1592, June 1991.
11. Baker, T. J., "Mesh Adaptation Strategies for Problems in Fluid Dynamics," Finite Elements in Analysis and Design, Vol. 25, No. 3-4, 1997, pp. 243-273.
12. Pirzadeh, S. Z., "A Solution-Adaptive Unstructured Grid Method by Grid Subdivision and Local Remeshing," AIAA Journal of Aircraft, Vol. 37, No. 5, September-October 2000, pp. 818-824,
13. See also AIAA Paper 99-3255.
14. Mavriplis, D., "Adaptive meshing techniques for viscous flow calculations on mixed element unstructured meshes," International Journal for Numerical Methods in Fluids, Vol. 34, No. 2, 2000, pp. 93-111,
15. See also AIAA Paper 97-0857.
16. Aftosmis, M. J. and Berger, M. J., "Multilevel Error Estimation and Adaptive h-Refinement for Cartesian Meshes with Embedded Boundaries," AIAA Paper 2002-0863, 2002.
17. Habashi, W. G., Dompierre, J., Bourgault, Y., Ait-Ali-Yahia, D., Fortin, M., and Vallet, M., "Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. Part I: general principles," International Journal of Numerical Methods in Fluids, Vol. 32, 2000, pp. 725-744.
18. Castro-Diáz, M. J., Hecht, F., Mohammadi, B., and Pironneau, O., "Anisotropic Unstructured Mesh Adaptation for Flow Simulations," International Journal of Numerical Methods in Fluids, Vol. 25, 1997, pp. 475-491.
19. Pelletier, D., Turgeon, E., Lacasse, D., and Borggaard, J., "Adaptivity, Sensitivity, and Uncertainty: Toward Standards of Good Practice in Computational Fluid Dynamics," AIAA Journal, Vol. 41, No. 10, October 2003, pp. 1925-1933.
20. Choi, S., Alonso, J. J., and Van der Weide, E., "Numerical and Mesh Resolution Requirements for Accurate Sonic Boom Prediction of Complete Aircraft Configurations," AIAA Paper 2004-1060, 2004.
21. Venditti, D. A. and Darmofal, D. L., "Anisotropic Grid Adaptation for Functional Outputs: Application to Two-Dimensional Viscous Flows," Journal of Computational Physics, Vol. 187, 2003, pp. 22-46.
22. Venditti, D. A., Grid Adaptation for Functional Outputs of Compressible Flow Simulations, Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA, 2002.
23. Monk, P. and Süli, E., "The Adaptive Computation of Far-Field Patterns by A Posteriori Error Estimation of Linear Functionals," SIAM Journal on Numerical Analysis, Vol. 36, 1998, pp. 251-274.
24. Paraschivoiu, M., Peraire, J., and Patera, A., "A Posteriori Finite Element Bounds for Linear-functional Outputs of Elliptic Partial Differential Equations," Computer Methods in Applied Mechanics and Engineering, Vol. 150, 1997, pp. 289-312.
25. Braack, M. and Rannacher, R., "Adaptive Finite Element Methods for Low-Mach Flows with Chemical Reactions," Vol. 3 of 30th Computational Fluid Dynamics, von Karman Institute, 1999, pp. 1-93.
26. Rannacher, R., "Adaptive Galerkin Finite Element Methods for Partial Differential Equations," Journal of Computational and Applied Mathematics, Vol. 128, 2001, pp. 205-233.
27. Becker, R. and Rannacher, R., "An optimal control approach to error control and mesh adaptation," Acta Numerica 2001, 2001.
28. Giles, M. B. and Süli, E., "Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality," Acta Numerica, Vol. 11, 2002, pp. 145-236.
29. Peraire, J. and Patera, A. T., "Asymptotic a posteriori finite element bounds for the outputs of noncoercive problems: the Helmholtz and Burgers equations," Computer Methods in Applied Mechanics and Engineering, Vol. 171, 1999, pp. 77-86.
30. Barth, T. and Deconinck, H., editors, Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics, Number 25 in Lecture Notes in Computational Science and Engineering, Springer-Verlag, 2002.
31. Pierce, N. A. and Giles, M. B., "Adjoint Recovery of Superconvergent Functionals from PDE Approximations," SIAM Review, Vol. 42, No. 2, 2000, pp. 247-264.
32. Müller, J. D. and Giles, M. B., "Solution Adaptive Mesh Refinement Using Adjoint Error Analysis," AIAA Paper 2001-2550, 2001.
33. Park, M. A., "Adjoint-Based, Three-Dimensional Enor Prediction and Grid Adaptation," AIAA Journal, Vol. 42, No. 9, September 2004, pp. 1854-1862,
34. See also AIAA Paper 2002-3286.
35. Park, M. A., "Three-Dimensional Turbulent RANS Adjoint-Based Error Correction," AIAA Paper 2003-3849, June 2003.
36. Morgenstern, J. M., Arslan, A., Lyman, V., and Vadyak, J., "F-5 Shaped Sonic Boom Demonstrator's Persistence of Boom Shaping Reduction through Turbulence," AIAA Paper 2005-12, 2005.
37. Kandil, O. A., Yang, Z., and Bobbitt, P. J., "Prediction of Sonic Boom Signature Using Euler-Full Potential CFD with Grid Adaptation and Shock Fitting," AIAA Paper 2002-2542, 2002.
38. Lyman, V. and Morgenstern, J. M., "Calculated and Measured Pressure Fields for an Aircraft Desgined fro Sonic-boom Alleviation," AIAA Paper 2004-4846, 2004.
39. Djomehri, M. J. and Erickson, L. L., An Assessment of the Adaptive Unstructured Tetrahedral Grid, Euler Flow Solver Code FELISA, NASA/TP-1994-3525, 1994.
40. Carlson, H., Mack, R., and Morris, O., A Wind-Tunnel Investigation of the Effect of Body Shape on Sonic-Boom Pressure Distributions, NASA/TN-1965-3103, 1965.
41. Mack, R. J. and Kuhn, N., Determination of Extrapolation Distance With Measured Pressure Signatures From Two Low-Boom Models, NASA/TM-2004-213264, 2004.
42. Anon., "2nd AIAA CFD Drag Prediction Workshop. Orlando, FL." //http:aaac.larc.nasa.gov/tsab/cfdlarc/aiaa-dpw, June 2003.
43. Brodersen, O., Rakowitz, M., Amant, S., Larrieu, P., Destarac, D., and Sutcliffe, M., "Airbus, ONERA, and DLR Results from the 2nd AIAA Drag Prediction Workshop," AIAA Paper 2004-0391, 2004.
44. Sclanfani, A. J., DeHaan, M. A., and Vassberg, J. C., "OVERFLOW Drag Prediction for the DLR-F6 Transport Configuration; A DPW-II Case Study," AIAA Paper 2004-0393, 2004.
45. Rumsey, C. L., Rivers, S. M., and Morrison, J. H., "Study of CFD Variations on Transport Configurations from the Second Drag-Prediction Workshop," AIAA Paper 2004-0394, 2004.
46. Wurtzler, K. E. and Morton, S., "Accurate Drag Prediction Using COBALT," AIAA Paper 2004-0395, 2004.
47. Lee-Rausch, E. M., Frink, N. T., Mavriplis, D. J., Rausch, R. D., and Milholen, W. E., "Transonic Drag Prediction on a DRL-F6 Transport Configuration Using Unstructured Grid Solvers," AIAA Paper 2004-0554, Jan. 2004.
48. Anderson, W. K. and Bonhaus, D. L., "An Implicit Upwind Algorithm for Computing Turbulent Flows on Unstructured Grids," Computers and Fluids, Vol. 23, No. 1, 1994, pp. 1-22.
49. Anderson, W. K., Rausch, R. D., and Bonhaus, D. L., "Implicit/ Multigrid Algorithm for Incompressible Turbulent Flows on Unstructured Grids," Journal of Computational Fluids, Vol. 128, 1996, pp. 391-408.
50. Nielsen, E. J., Aerodynamic Design Sensitivities on an Unstructured Mesh Using the Navier-Stokes Equations and a Discrete Adjoint Formulation, Ph.D. thesis, Virginia Polytechnic Institute and State University, Blacksburg, VA, 1998.
51. Nielsen, E. J., Lu, J., Park, M. A., and Darmofal, D. L., "An Implicit, Exact Dual Adjoint Solution Method Implicit, Exact Dual Adjoint Solution Method for Turbulent Flows on Unstructured Grids," Computers and Fluids, Vol. 33, No. 9, 2004, pp. 1131-1155,
52. See also AIAA Paper 2003-0272.
53. Spalart, P. R. and Allmaras, S. R., "One-Equation Turbulence Model for Aerodynamic Flows," AIAA Paper 92-0429, 1992.
54. Taylor, A. C., Green, L. L., Newman, P. A., and Putko, M. M., "Some Advanced Concepts in Discrete Aerodynamic Sensitivity Analysis," AIAA Paper 2001-2529, 2001.
55. Giles, M., Duta, M., Müller, J.-D., and Pierce, N., "Algorithm Developments for Discrete Adjoint Methods," AIAA Journal, Vol. 41, No. 2, 2003, pp. 198-205,
56. See also AIAA Paper 2001-2596.
57. Park, M. A., "Parallel, Distributed Memory Execution of Nearest-Neighbor Grid Adaptation Operations: refine," Class Project 21W.783, Massachusetts Institute of Technology, Cambridge, MA, 2005.
58. Jones, W T., "An Open Framework for Unstructured Grid Generation," AIAA Paper 2002-3192, June 2002.
59. Jones, W. T., "GridEx - An Integrated Grid Generation Package for CFD," AIAA Paper 2003-4129, 2003.
60. Haimes, R., "CAPRI: Computational Analysis PRogramming Interface," Massachusetts Institute of Technology, Cambridge, MA, 2002.
61. Haimes, R., "Automatic Generation of CFD-Ready Surface Triangulations from CAD Geometry," AIAA Paper 99-0776, 1999.
62. Haimes, R., "CAPRI: Computational Analysis PRogramming Interface," Proceedings of the 6th International Conference on Numerical Grid Generation in Computational Field Simulations, July 1998.
63. Venkatakrishnan, V., "Convergence to Steady State Solutions of the Euler Equations on Unstructured Grids with Limiters," Journal of Computational Physics, Vol. 118, No. 1, 1995, pp. 120-130.
64. Linde, T. and Roe, P. L., "On Multidimensional Positively Conservative High-Resoluion Schemes," Barriers and Challenges In Computational Fluid Dynamics - 1998, edited by V. Verkatakrishnan, M. D. Salas, and S. R. Chakravarthy, Kluwer Academic Publ., 1998.
65. Nielsen, E. J. and Anderson, W. K., "Recent Improvements in Aerodynamic Design Optimization on Unstructured Meshes," AIAA Paper 2001-0596, 2001.
66. Brodersen, O. and Stürmer, "Drag Prediction of Engine-Airframe Interference Effects using Unstructured Navier-Stokes Calculations," AIAA Paper 2001-2414, June 2001.
67. Roache, P. J., Verification and Validation In Computational Science and Engineering, Hermosa Publishers, 1998.
68. Prizadeh, S., "Three-Dimensional Unstructured Viscous Grids by the Advancing Front Method," AIAA Journal, Vol. 34, No. 1, Jan. 1996, pp. 43-49.