Controlling the p-Norm Function Space Distribution of Linked Surrogate Parameters

No AccessTechnical NotesControlling the p-Norm Function Space Distribution of Linked Surrogate ParametersBenjamin J. Grier, Kirk R. Brouwer, Emily R. Dreyer and Jack J. McNamaraBenjamin J. GrierThe Ohio State University, Columbus, Ohio 43210-1276*Post-Doctoral Researcher, Department of Mechanical and Aerospace Engineering.Search for more papers by this author, Kirk R. BrouwerThe Ohio State University, Columbus, Ohio 43210-1276†Ph.D. Candidate, Department of Mechanical and Aerospace Engineering. Student Member AIAA.Search for more papers by this author, Emily R. DreyerThe Ohio State University, Columbus, Ohio 43210-1276†Ph.D. Candidate, Department of Mechanical and Aerospace Engineering. Student Member AIAA.Search for more papers by this author and Jack J. McNamaraThe Ohio State University, Columbus, Ohio 43210-1276‡Professor, Department of Mechanical and Aerospace Engineering. Associate Fellow AIAA.Search for more papers by this authorPublished Online:9 Apr 2019https://doi.org/10.2514/1.J057847SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Glaz B., Goel T., Friedmann P. P. and Haftka R. T., “Multiple-Surrogate Approach to Helicopter Rotor Blade Vibration Reduction,” AIAA Journal, Vol. 47, No. 1, 2009, pp. 271–282. doi:https://doi.org/10.2514/1.40291 AIAJAH 0001-1452 LinkGoogle Scholar[2] Glaz B., Liu L. and Friedmann P. P., “Reduced-Order Nonlinear Unsteady Aerodynamic Modeling Using a Surrogate Based Recurrence Framework,” AIAA Journal, Vol. 48, No. 10, 2010, pp. 2418–2429. doi:https://doi.org/10.2514/1.J050471 AIAJAH 0001-1452 LinkGoogle Scholar[3] VanderWyst A. S., Shelton A. B., Martin C. L., Neergaard L. J. and Witeof Z. D., “Reduced Order Models for Generation of Large, High Speed Aerodynamic Databases with Jet Interactions,” AIAA Paper 2016-0464, 2016. doi:https://doi.org/10.2514/6.2016-0464 LinkGoogle Scholar[4] Skujins T. and Cesnik C., “Reduced-Order Modeling of Unsteady Aerodynamics Across Multiple Mach Regimes,” AIAA Journal, Vol. 51, No. 6, 2014, pp. 1681–1704. doi:https://doi.org/10.2514/1.C032222 AIAJAH 0001-1452 LinkGoogle Scholar[5] Klock R. J. and Cesnik C. E. S., “Nonlinear Thermal Reduced-Order Modeling for Hypersonic Vehicles,” AIAA Journal, Vol. 55, No. 7, 2017, pp. 2358–2368. doi:https://doi.org/10.2514/1.J055499 AIAJAH 0001-1452 LinkGoogle Scholar[6] Kitson R. C. and Cesnik C. E. S., “Fluid-Structure-Jet Interaction Modeling and Simulation of High-Speed Vehicles,” Journal of Spacecraft and Rockets, Vol. 55, No. 1, 2018, pp. 190–201. doi:https://doi.org/10.2514/1.A33895 JSCRAG 0022-4650 LinkGoogle Scholar[7] McNamara J. J., Crowell A. R., Friedmann P. P., Glaz B. and Gogulapti A., “Approximate Modeling of Unsteady Aerodynamics for Hypersonic Aeroelasticity,” Journal of Aircraft, Vol. 47, No. 6, 2010, pp. 1932–1945. doi:https://doi.org/10.2514/1.C000190 LinkGoogle Scholar[8] Crowell A. R., McNamara J. J. and Miller B. A., “Hypersonic Aerothermoelastic Response Prediction of Skin Panels Using Computational Fluid Dynamic Surrogates,” Journal of Aeroelasticity and Structural Dynamics, Vol. 2, No. 2, 2011, pp. 3–30. doi:https://doi.org/10.3293/asdj.2011.11 Google Scholar[9] Crowell A. R. and McNamara J. J., “Model Reduction of Computational Aerothermodynamics for Hypersonic Aerothermoelasticity,” AIAA Journal, Vol. 50, No. 1, 2012, pp. 74–84. doi:https://doi.org/10.2514/1.J051094 AIAJAH 0001-1452 LinkGoogle Scholar[10] Forrester A., Sobester A. and Keane A., Engineering Design via Surrogate Modeling: A Practical Guide, Wiley, New York, 2008, pp. 3–31. doi:https://doi.org/10.1002/9780470770801 CrossrefGoogle Scholar[11] Sacks J., Welch W. J., Mitchell T. J. and Wynn H. P., “Design and Analysis of Computer Experiments,” Statistical Science, Vol. 4, No. 4, 1989, pp. 409–435. doi:https://doi.org/10.1214/ss/1177012415 STSCEP 0883-4237 CrossrefGoogle Scholar[12] Queipo N. V., Haftka R. T., Shyy W., Goel T., Vaidyanathan R. and Tucker P. K., “Surrogate-Based Analysis and Optimization,” Progress in Aerospace Sciences, Vol. 41, No. 1, 2005, pp. 1–28. doi:https://doi.org/10.1016/j.paerosci.2005.02.001 PAESD6 0376-0421 CrossrefGoogle Scholar[13] Corporation M. S. S. R., “MSSRC Low Discrepancy Sequence Generator Library (LDSLib) for Linux,” MSSRC, Document: UG070-US-003, Bloomingdale, IL, 2010. Google Scholar[14] Barthe F., Guédon O., Mendelson S. and Naor A., “A Probabilistic Approach to the Geometry of the ℓpn-Ball,” The Annals of Probability, Vol. 33, No. 2, 2005, pp. 480–513. doi:https://doi.org/10.1214/009117904000000874 APBYAE 0091-1798 CrossrefGoogle Scholar[15] Marsaglia G. and Tsang W. W., “A Simple Method for Generating Gamma Variables,” ACM Transactions on Mathematical Software (TOMS), Vol. 26, No. 3, 2000, pp. 363–372. doi:https://doi.org/10.1145/358407.358414 CrossrefGoogle Scholar[16] Fishman G. S., Monte Carlo: Concepts, Algorithms, and Applications, Springer–Verlag, New York, 1996, pp. 234–235. doi:https://doi.org/10.1007/978-1-4757-2553-7 CrossrefGoogle Scholar Previous article FiguresReferencesRelatedDetailsCited byRapid Steady-State Hypersonic Aerothermodynamic Loads Prediction Using Reduced Fidelity ModelsEmily R. Dreyer, Benjamin J. Grier, Jack J. McNamara and Benjamin C. Orr18 March 2021 | Journal of Aircraft, Vol. 58, No. 3Surrogate-based aeroelastic loads prediction in the presence of shock-induced separationJournal of Fluids and Structures, Vol. 93Generalized Treatment of Surface Deformation for High-Speed Computational Fluid Dynamic SurrogatesKirk R. Brouwer and Jack J. McNamara15 September 2019 | AIAA Journal, Vol. 58, No. 1 What's Popular Volume 57, Number 6June 2019 CrossmarkInformationCopyright © 2019 by B. Grier, K. Brouwer, E. Dreyer, and J. McNamara. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the eISSN 1533-385X to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp. TopicsAerodynamic PerformanceAerodynamicsAeroelasticityAeronautical EngineeringAeronauticsAerospace EngineeringAerospace SciencesComputational Fluid DynamicsFluid DynamicsSlip (Aerodynamics) KeywordsAngle of AttackCFDAngle of SideslipAerospace EngineeringAeroelastic ResponseAerodynamic LoadsStructural DisplacementFree VibrationsAcknowledgmentsThe authors gratefully acknowledge the support of the AFRL Cooperative Agreement FA8651-13-2-0007, with Daniel Reasor as technical monitor, and the AFRL-University Collaborative Center in Structural Sciences (Cooperative Agreement FA8650-13-2347), with Benjamin Smarslok as program manager; the technical expertise of Daniel Grier (MIT CSAIL); the contributions of ANSI C libraries of Larry Lambe and MSSRC; and technical insights from Abhijit Gogulapati (OSU), Ryan Kitson (UM), and Anton VanderWyst (Leidos).PDF Received22 August 2018Accepted2 March 2019Published online9 April 2019