Surrogate-based modeling and dimension reduction techniques for multi-scale mechanics problems

Acta Mechanica Sinica/Lixue Xuebao

Volumn 27, Issue 6, 2011, Pages 845-865

  Shyy, Wei ^a   Cho, Young Chang ^b   Du, Wenbo ^b   Gupta, Amit ^b   Tseng, Chien Chou ^c   Sastry, Ann Marie ^b  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^b UNIVERSITY OF MICHIGAN   (United States)

^c NATIONAL SUN YAT SEN UNIVERSITY   (Taiwan)

Author keywords

Active flow control; Cryogenic cavitating flow; Engineering system; Multi scale mechanics; Surrogate based modeling

Indexed keywords

ACTIVE FLOW CONTROL; CAVITATING FLOW; COMPREHENSIVE EVALUATION; CONTINUOUS FUNCTIONS; DESIGN VARIABLES; DIELECTRIC BARRIER DISCHARGES; DIMENSION REDUCTION TECHNIQUES; ENGINEERING SYSTEM; ENGINEERING SYSTEMS; HIGH FIDELITY MODELS; INFORMED DECISION; INPUT VARIABLES; ION BATTERIES; LIMITED DATA; MULTISCALES; SURROGATE APPROACH; SURROGATE-BASED ANALYSIS; SURROGATE-BASED MODELING;

CAVITATION; CRYOGENICS; DESIGN; FLOW CONTROL; LITHIUM; MODELS; OPTIMIZATION; RATIONAL FUNCTIONS;

MECHANICS;

EID: 84855684194     PISSN: 05677718     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10409-011-0522-0     Document Type: Review

References (56)

1. Fletcher, R., Powell, M.J.D.: A rapidly convergent descent method for minimization. Comp. J. 6, 163-168 (1963)
2. Papila, N., Shyy, W., Griffin, L., et al.: Shape optimization of supersonic turbines using global approximation methods. J. Prop. Power 18, 509-518 (2002) (Pubitemid 34647238)
3. Shyy, W., Papila, N., Vaidyanathan, R., et al.: Global design optimization for aerodynamics and rocket propulsion components. Prog. Aero. Sci. 37, 59-118 (2001) (Pubitemid 32875277)
4. McKay, M.D., Beckman, R.J., Conover, W.J.: A comparison of three methods of selecting values of input variables in the analysis of output from a computer code. Technometrics 21, 239-245 (1979) (Pubitemid 9452235)
5. Myers, R.H., Montgomery, D.C.: Response Surface Methodology: Process and Product in Optimization Using Designed Experiments. (1st ed.) Wiley and Sons Inc. (1995)
6. Queipo, N.V., Haftka, R.T., Shyy, W., et al.: Surrogate-based analysis and optimization. Prog. Aero. Sci. 41, 1-28 (2005) (Pubitemid 40537187)
7. Forrester, A.I.J., Keane, A.J.: Recent advances in surrogate-based optimization. Prog. Aero. Sci. 45, 50-79 (2009)
8. Zones, D.R.: A taxonomy of global optimization methods based on response surfaces. J. Global Opt. 21, 345-383 (2001)
9. Sacks J., Welch, W.J., Mitchell, T.J., et al.: Design and analysis of computer experiments. Statistical Science 4(4), 409-435 (1989)
10. Lophaven, S.N., Nielsen, H.B., Sondergaard, J.: DACE- A Matlab kriging toolbox. Version 2.0, Technical Report, IMM-TR-2002-12, Technical University of Denmark, Denmark (2002)
11. Goel, T., Dorney, D.J., Haftka, R.T., et al.: Improving the hy-drodynamic performance of diffuser vanes via shape optimization. Comp. Fluids 37, 705-723 (2008) (Pubitemid 351637433)
12. Goel, T., Haftka, R.T., Shyy, W., et al.: Ensemble of surrogates. Struct. Multidisc. Optim. 33, 199-216 (2007) (Pubitemid 46198778)
13. Goel, T., Haftka, R.T., Shyy, W.: Comparing error estimation measures for polynomial and kriging approximation of noise-free functions. Struct. Multidisc. Optim. 38, 429-442 (2009)
14. Laslett, G.M.: Kriging and splines: an empirical comparison of their predictive performance in some applications. J. Amer. Stat. Assc. 89(426), 391-400 (1994)
15. Meckesheimer, M., Booker, A.J., Barton, R.R., et al.: Computationally inexpensive metamodel assessment strategies. AIAA J. 40(10), 2053-2060 (2002) (Pubitemid 35295818)
16. Sobol, I.: Sensitivity estimates for non-linear mathematical models. Math. Modeling Comput. Exp. 4, 407-414 (1993)
17. Mack, Y., Goel, T., Shyy, W., et al.: Surrogate model-based optimization framework: a case study in aerospace design. Stud. Comp. Intel. 51, 323-342 (2007)
18. Utturkar, Y., Wu, J., Wang, G., et al.: Recent progress in modeling of cryogenic cavitation for liquid rocket propulsion. Prog. Aero. Sci. 41, 558-608 (2005) (Pubitemid 41817299)
19. Knapp, R.T., Daily, J.W., Hammitt, F.G.: Cavitation, McGraw-Hill, New York (1970)
20. Brennen, C.E.: Cavitation and Bubble Dynamics. Oxford Engineering & Sciences Series, Oxford University Press, New York (1995)
21. Venkateswaran, S., Lindau, J.W., Kunz, R.F., et al.: Preconditioning algorithms for the computation of multiphase mixture flows. J. Comp. Phys. 179, 1-29 (2002)
22. Joseph, D.D.: Cavitation and the state of stress in a flowing liquid. J. Fluid Mech. 366, 367-378 (1998) (Pubitemid 128488662)
23. Lemmon, E.W., McLinden, M.O., Huber, M.L.: REFPROP: Reference fluid thermodynamic and transport properties. NIST Standard Database 23, version 7.0 (2002)
24. Goel, T., Thakur, S., Haftka, R.T., et al.: Surrogate modelbased strategy for cryogenic cavitation model validation and sensitivity evaluation. Int. J. Numer. Meth. Fluids 58, 969-1007 (2008)
25. Tseng, C.C., Wei, Y.J., Wang, G., et al.: Review: modeling of turbulent, isothermal and cryogenic cavitation under attached conditions. Acta Mechanica Sinica 26, 325-353 (2010)
26. Tseng, C., Shyy, W.: Modeling for isothermal and cryogenic cavitation. Int. J. Heat Mass Trans. 53, 513-525 (2010)
27. Wang, G., Senocak, I., Shyy, W., et al.: Dynamics of attached turbulent cavitating flows. Prog. Aero. Sci. 37, 551-581 (2001) (Pubitemid 32975538)
28. Senocak, I., Shyy, W.: Interfacial dynamics-based modeling of turbulent cavitating flows, part-1: model development and steady-state computations. Int. J. Numer. Meth. Fluids 44, 975-995 (2004) (Pubitemid 38550153)
29. Li, X., Wang, G., Yu, Z., et al.: Multiphase fluid dynamics and transport processes of low capillary number cavitating flows. Acta Mechanica Sinica 25, 161-172 (2009)
30. Hord, J.: Cavitation in liquid cryogens II-hydrofoil. NASA CR-2156 (1973)
31. McDaniel, E.W.: Collision Phenomena in Ionized Gases. John Wiley & Sons, New York (1964)
32. Mitchner, M., Kruger Jr., C.H.: Partially Ionized Gases, John Wiley & Sons, New York (1973)
33. Roth, J.R., Sherman, D.M.: Boundary layer flow control with a one atmosphere uniform glow discharge surface plasma. 36th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper 98-0328, Reno, NV (1998)
34. Shyy, W., Jayaraman, B., Andersson, A.: Modeling of glow discharge-induced fluid dynamics. J. Appl. Phys. 92(11), 6434-6443 (2002)
35. Porter, C.O., Baughn, J.W., McLaughlin, T.E., et al.: Plasma actuator force measurements. AIAA J. 45(7), 1562-1570 (2007) (Pubitemid 47191234)
36. Jukes, T.N., Choi, K., Johnson, G.A., et al.: Characterization of surface plasma-induced wall flows through velocity and temperature measurements. AIAA J. 44(4), 764-771 (2006)
37. Forte, M., Jolibois, J., Moreau, E., et al.: Optimization of a dielectric barrier discharge actuator by stationary and non-stationary measurements of the induced flow velocity-application to airflow control. 3rd AIAA Flow Control Conference, AIAA Paper 2006-2863, San Francisco, CA (2006)
38. Abe, T., Takizawa, Y., Sato, S., et al.: A parametric experimental study for momentum transfer by plasma actuator. 45th Aerospace Sciences Meeting and Exhibit, AIAA Paper 2007-187, Reno, NV (2007)
39. Roth, J.R., Dai, X.: Optimization of the aerodynamic plasma actuator as an electrohydrodynamic (EHD) electrical device. 44th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper 2006-1203, Reno, NV (2006)
40. Jayaraman, B., Tharkur, S., Shyy, W.: Modeling of fluid dynamics and heat transfer induced by dielectric barrier plasma actuator. J. Heat Trans. 129, 517-525 (2007) (Pubitemid 47090847)
41. Jayaraman, B., Shyy, W.: Modeling of dielectric barrier discharge-induced fluid dynamics and heat transfer. Prog. Aero. Sci. 44, 139-191 (2008)
42. Ward, A.L.: Calculations of cathode-fall characteristics. J. Appl. Phys. 33(9), 2789-2974 (1962)
43. Jayaraman, B., Cho, Y., Shyy, W.: Modeling of dielectric barrier discharge plasma actuator. J. Appl. Phys. 103, 053304 (2008)
44. Doyle, M., Fuller, T.F., Newman, J.: Modeling of galvanostatic charge and discharge of the lithium/polymer/insertion cell. J. Electrochem. Soc. 140, 1526-1533 (1993) (Pubitemid 23699387)
45. Fuller, T.F., Doyle, M., Newman, J.: Simulation and optimization of the dual lithium ion insertion cell. J. Electrochem. Soc. 141, 1-10 (1994)
46. Doyle, M., Newman, J., Gozdz, A.S., et al.: Comparison of modeling predictions with experimental data from plastic lithium ion cells. J. Electrochem. Soc. 143, 1890-1903 (1996) (Pubitemid 126562147)
47. Lu, C.H., Lin, S.W.: Influence of the particle size on the electrochemical properties of lithium manganese oxide. J. Power Sources 97-98, 458-460 (2001)
48. Zhang, D., Popov, B.N., White, R.E.: Modeling lithium intercalation of a single spinel particle under potentiodynamic control. J. Electrochem. Soc. 147, 831-838 (2000) (Pubitemid 30594903)
49. Du, W., Gupta, A., Zhang, X., et al.: Effect of cycling rate, particle size and transport properties on Li-ion cathode performance. Int. J. Heat Mass Trans. 53, 3552-3561 (2010)
50. 4 electrode via particle-scale modeling. J. Electrochem. Soc. 158 A487-497 (2011)
51. Zhang, X., Sastry, A.M., Shyy, W.: Intercalation-induced stress and heat generation inside lithium-ion battery cathode particles. J. Electrochem. Soc. 155, A542-552 (2008) (Pubitemid 351752913)
52. Zhang, X., Shyy, W., Sastry, A.M.: Numerical simulation of intercalation-induced stress in Li-ion battery electrode particles. J. Electrochem. Soc. 154, A910-916 (2007) (Pubitemid 47319089)
53. Sozer, E., Shyy, W.: Modeling of fluid dynamics and heat transfer through porous media for liquid rocket propulsion. International Journal of Numerical Methods for Heat and Fluid Flow 18, 883-899 (2008)
54. Martin, A., Saltiel, C., Shyy, W.: Heat transfer enhancement with porous inserts in recirculating flows. ASME Journal of Heat Transfer 120, 458-467 (1998)
55. Shyy, W., Correa, S.M., Braaten, M.E.: Computation of flow in a gas turbine combustor. Combustion Science and Technology 58, 97-117 (1988)
56. Shyy, W., Thakur, S.S., Ouyang, H., et al.: Computational Techniques for Complex Transport Phenomena. Cambridge University Press, New York, hardcover (1997), paperback (2005)