Output-adaptive tetrahedral cut-cell validation for sonic boom prediction

Collection of Technical Papers - AIAA Applied Aerodynamics Conference

Volumn , Issue , 2008, Pages

  Park, Michael A ^a,c   Darmofal, David L ^b,c,d  

^a NASA LANGLEY RESEARCH CENTER   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^c MS 128 ^*

^d Massachusetts Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; FORECASTING; SHOCK WAVES; SUPERSONIC AIRCRAFT; WIND TUNNELS;

ACCURATE PREDICTION; ADJOINT SOLUTION; ANISOTROPIC GRID; DISCRETE ADJOINT; MANUAL INTERVENTION; PROPAGATION METHOD; TRIANGULAR MESHES; WIND TUNNEL MEASUREMENTS;

COMPUTATIONAL FLUID DYNAMICS;

EID: 85067320177     PISSN: 10485953     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2008-6594     Document Type: Conference Paper

References (63)

1. Plotkin, K. J., "State of the art of sonic boom modeling," The Journal of the Acoustical Society of America, Vol. 111, No. 1, Jan. 2002, pp. 530-536.
2. Carlson, H. W., "Experimental and Analytic Research on Sonic Boom Generation at NASA," Sonic Boom Research, edited by A. R. Seebass, NASA, NASA-SP-147, April 1967, pp. 9-23.
3. Whitham, G. B., "The flow pattern of a supersonic projectile," Communications on Pure and Applied Mathematics, Vol. 5, No. 3, Aug. 1952, pp. 301-348.
4. Whitham, G. B., "On the propagation of weak shock waves," Journal of Fluid Mechanics, Vol. 1, No. 3, Sept. 1956, pp. 290-318.
5. Hayes, W. D., Haefeli, R. C., and Kulsrud, H. E., Sonic boom propagation in a stratified atmosphere, with computer program, NASA-CR-1299, April 1969.
6. Thomas, C. L., Extrapolation of sonic boom pressure signatures by the waveform parameter method, NASA/TN-D 6832, June 1972.
7. Page, J. A. and Plotkin, K. J., "An Efficient Method for Incorporating Computational Fluid Dynamics Into Sonic Boom Prediction," AIAA Paper 91-3275, 1991.
8. George, A. R., "Reduction of Sonic Boom by Azimuthal Redistribution of Overpressure," AIAA Paper 68-159, 1968.
9. Rallabhandi, S. K. and Mavris, D. N., "A New Approach for Incorporating Computational Fluid Dynamics into Sonic Boom Prediction," AIAA Paper 2006-3312, 2006.
10. Campbell, R., Carter, M., Deere, K., and Waithe, K. A., "Efficient Unstructured Grid Adaptation Methods for Sonic Boom Prediction," AIAA Paper 2008-7327, 2008.
11. Laflin, K. R., Klausmeyer, S. M., and Chaffin, M., "A Hybrid Computational Fluid Dynamics Procedure for Sonic Boom Prediction," AIAA Paper 2006-3168, 2006.
12. Kandil, O. and Ozcer, I. A., "Sonic Boom Computations for Double-Cone Configuration using CFL3D, FUN3D and Full-Potential Codes," AIAA Paper 2006-414, 2006.
13. Waithe, K. A., "Application of USM3D for Sonic Boom Prediction by Utilizing a Hybrid Procedure," AIAA Paper 2008-129, 2008.
14. Loseille, A., Dervieux, A., Frey, P., and Alauzet, F., "Achievement of Global Second Order Mesh Convergence for Discontinuous Flows with Adapted Unstructured Meshes," AIAA Paper 2007-4186, 2007.
15. Ozcer, I. A. and Kandil, O., "FUN3D / OptiGRID Coupling for Unstructured Grid Adaptation for Sonic Boom Problems," AIAA Paper 2006-61, 2006.
16. Peraire, J., Peirò, J., and Morgan, K., "Adaptive Remeshing for Three-Dimensional Compressible Flow Computations," Journal of Computational Physics, Vol. 103, No. 2, 1992, pp. 269-285.
17. 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.
18. 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.
19. Rannacher, R., "Adaptive Galerkin Finite Element Methods for Partial Differential Equations," Journal of Computational and Applied Mathematics, Vol. 128, 2001, pp. 205-233.
20. 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.
21. Venditti, D. A., Grid Adaptation for Functional Outputs of Compressible Flow Simulations, Ph.D. thesis, Massachusetts Institute of Technology, 2002.
22. Nemec, M., Aftosmis, M. J., and Wintzer, M., "Adjoint-Based Adaptive Mesh Refinement for Complex Geometries," AIAA Paper 2008-725, 2008.
23. Fidkowski, K. J. and Darmofal, D. L., "Output-based adaptive meshing using triangular cut cells," Technical Report ACDL TR-06-2, Aerospace Computational Design Laboratory, Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, 2006.
24. Barter, G. E., Shock Capturing with PDE-Based Artificial Viscosity for an Adaptive, Higher-Order Discontinuous Galerkin Finite Element Method, Ph.D. thesis, Massachusetts Institute of Technology, 2008.
25. Nielsen, E. J. and Anderson, W. K., "Recent Improvements in Aerodynamic Design Optimization on Unstructured Meshes," AIAA Journal, Vol. 40, No. 6, 2002, pp. 1155-1163, See also AIAA Paper 2001-596.
26. Young, D. P., Melvin, R. G., Bieterman, M. B., Johnson, F. T., Samant, S. S., and Bussoletti, J. E., "A locally refined rectangular grid finite element method: Application to computational fluid dynamics and computational physics," Journal of Computational Physics, Vol. 92, No. 1, 1991, pp. 1-66.
27. Charlton, E. F. and Powell, K. G., "An octree solution to conservation laws over arbitrary regions (OSCAR)," AIAA Paper 97-198, 1997.
28. Aftosmis, M. J., Berger, M. J., and Melton, J. E., "Robust and Effcient Cartesian Mesh Generation for Component-Based Geometry," AIAA Journal, Vol. 36, No. 6, 1998, pp. 952-960.
29. Domel, N. D. and Karman, Jr., S. L., "Splitflow: Progress in 3D CFD with Cartesian Omni-tree Grids for Complex Geometries," AIAA Paper 2000-1006, 2000.
30. Löhner, R., Baum, J. D., Mestreau, E., Sharov, D., Charman, C., and Pelessone, D., "Adaptive embedded unstructured grid methods," International Journal for Numerical Methods in Engineering, Vol. 60, 2004, pp. 641-660.
31. Fidkowski, K. J. and Darmofal, D. L., "A triangular cut-cell adaptive method for high-order discretizations of the compressible Navier-Stokes equations," Journal Computational Physics, Vol. 225, No. 2, Aug. 2007, pp. 1653-1672.
32. Fidkowski, K. J., A Simplex Cut-Cell Adaptive Method for High-Order Discretizations of the Compressible Navier-Stokes Equations, Ph.D. thesis, Massachusetts Institute of Technology, 2007.
33. Li, X., Shephard, M. S., and Beall, M. W., "Accounting for curved domains in mesh adaptation," International Journal for Numerical Methods in Engineering, Vol. 58, No. 1, 2000, pp. 247-276.
34. Lee-Rausch, E. M., Park, M. A., Jones, W. T., Hammond, D. P., and Nielsen, E. J., "Application of a Parallel AdjointBased Error Estimation and Anisotropic Grid Adaptation for Three-Dimensional Aerospace Configurations," AIAA Paper 2005-4842, 2005.
35. Jones, W. T., Nielsen, E. J., and Park, M. A., "Validation of 3D Adjoint Based Error Estimation and Mesh Adaptation for Sonic Boom Prediction," AIAA Paper 2006-1150, 2006.
36. Jones, W. T., "GridEx - An Integrated Grid Generation Package for CFD," AIAA Paper 2003-4129, 2003.
37. Park, M. A., Anisotropic Output-Based Adaptation with Tetrahedral Cut Cells for Compressible Flows, Ph.D. thesis, Massachusetts Institute of Technology, 2008, Expected August 2008.
38. 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.
39. van Leer, B., "Flux-Vector Splitting for the Euler Equations," ICASE Report 82-30, 1982.
40. 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, 1998.
41. 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, See also AIAA Paper 2001-2596.
42. Nielsen, E. J., Lu, J., Park, M. A., and Darmofal, D. L., "An Implicit, Exact Dual Adjoint Solution Method for Turbulent Flows on Unstructured Grids," Computers and Fluids, Vol. 33, No. 9, 2004, pp. 1131-1155,
43. See also AIAA Paper 2003-272.
44. Barth, T. J. and Jespersen, D. C., "The design and application of upwind schemes on unstructured meshes," AIAA Paper 89-366, 1989.
45. Elliott, J. K., Aerodynamic optimization based on the Euler and Navier-Stokes equations using unstructured grids, Ph.D. thesis, Massachusetts Institute of Technology, 1998.
46. Nielsen, E. J. and Kleb, W. L., "Efficient Construction of Discrete Adjoint Operators on Unstructured Grids Using Complex Variables," AIAA Journal, Vol. 44, No. 4, 2006, pp. 827-836,
47. See also AIAA Paper 2005-324.
48. 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,
49. See also AIAA Paper 93-880.
50. Balasubramanian, R. and Newman III, J. C., "Discrete Direct and Discrete Adjoint Sensitivity Analysis for Variable Mach Flows," International Journal for Numerical Methods in Engineering, Vol. 66, No. 2, 2006, pp. 297-318.
51. White, J. A., private communication, 2007.
52. Park, M. A. and Darmofal, D., "Parallel Anisotropic Tetrahedral Adaptation," AIAA Paper 2008-917, 2008.
53. Carlson, H. W. and Morris, O. A., "Wind-Tunnel Sonic-Boom Testing Techniques," AIAA Journal of Aircraft, Vol. 4, No. 3, 1967, pp. 245-249.
54. Morgenstern, J. M., "Wind Tunnel Testing of a Sonic Boom Minimized Tail-Braced Wing Transport Configuration," AIAA Paper 2004-4536, 2004.
55. Carlson, H., Mack, R., and Morris, O., A Wind-Tunnel Investigation of the Effect of Body Shape on Sonic-Boom Pressure Distributions, NASA/TN-1965-3106, 1965.
56. Hunton, L. W., Hicks, R. M., and Mendoza, J. P., Some effects of wing planform on sonic boom, NASA/TN-D 7160, Jan. 1973.
57. Cheung, S. H., Edwards, T. A., and Lawrence, S. L., "Application of Computational Fluid Dynamics to Sonic Boom Near- and Mid-Field Prediction," AIAA Journal of Aircraft, Vol. 29, No. 5, September-October 1992, pp. 920-926.
58. Djomehri, M. J. and Erickson, L. L., "An Assessment of the Adaptive Unstructured Tetrahedral Grid, Euler Flow Solver Code FELISA," TP 3526, NASA Ames Research Center, Dec. 1994.
59. Cliff, S. E. and Thomas, S. D., "Euler/Experiment Correlations of Sonic Boom Pressure Signatures," AIAA Journal of Aircraft, Vol. 30, No. 5, Sep.-Oct. 1993, pp. 669-675, See also AIAA Paper 91-3276.
60. Madson, M. D., "Sonic Boom Predictions Using a Solution-Adaptive Full-Potential Code," AIAA Journal of Aircraft, Vol. 31, No. 1, Jan.-Feb. 1994, pp. 57-63, See also AIAA Paper 91-3278.
61. Kandil, O., Ozcer, I., Zheng, X., and Bobbitt, P., "Comparison of Full-Potential Propagation-Code Computations with the F-5E "Shaped Sonic Boom Experiment" Program," AIAA Paper 2005-13, 2005.
62. Mack, R. J. and Kuhn, N., Determination of Extrapolation Distance With Measured Pressure Signatures From Two Low-Boom Models, NASA/TM-2004-213264, 2004.
63. Mack, R. J. and Kuhn, N., Determination of Extrapolation Distance With Pressure Signatures Measured at Two to Twenty Span Lengths From Two Low-Boom Models, NASA/TM-2006-214524, 2006.