메뉴 건너뛰기




Volumn 46, Issue 2, 2009, Pages 635-646

Robust aerodynamic design optimization using polynomial chaos

Author keywords

[No Author keywords available]

Indexed keywords

AIRFOILS; COMPUTATION THEORY; COMPUTATIONAL FLUID DYNAMICS; DESIGN; LIFT DRAG RATIO; OPTIMIZATION; POLYNOMIALS;

EID: 63649134797     PISSN: 00218669     EISSN: 15333868     Source Type: Journal    
DOI: 10.2514/1.39419     Document Type: Article
Times cited : (88)

References (41)
  • 2
    • 34250777758 scopus 로고    scopus 로고
    • A Non-Intrusive Polynomial Chaos Method for Uncertainty Propagation in CFD Simulations
    • AIAA Paper 2006-891, Jan
    • Hosder, S., Walters, R. W., and Perez, R., "A Non-Intrusive Polynomial Chaos Method for Uncertainty Propagation in CFD Simulations," AIAA Paper 2006-891, Jan. 2006.
    • (2006)
    • Hosder, S.1    Walters, R.W.2    Perez, R.3
  • 4
    • 51449120410 scopus 로고    scopus 로고
    • Generalized Polynomial Chaos Solution for Differential Equations with Random Inputs
    • Zurich, Jan
    • Karniadakis, G., Su, C., Xiu, D., Lucor, D., Schwab, C., and Todor, R., "Generalized Polynomial Chaos Solution for Differential Equations with Random Inputs," ETH Zurich, Rept. 2005-01, Zurich, Jan. 2005.
    • (2005) ETH Zurich, Rept. 2005-01
    • Karniadakis, G.1    Su, C.2    Xiu, D.3    Lucor, D.4    Schwab, C.5    Todor, R.6
  • 5
    • 0036715119 scopus 로고    scopus 로고
    • Probabilistic Approach to Free-Form Airfoil Shape Optimization Under Uncertainty
    • doi:10.2514/2.1881
    • Huyse, L., Padula, S. L., Lewis, R. M., and Li, W., "Probabilistic Approach to Free-Form Airfoil Shape Optimization Under Uncertainty," AIAA Journal, Vol. 40, No. 9, 2002, pp. 1764-1772. doi:10.2514/2.1881
    • (2002) AIAA Journal , vol.40 , Issue.9 , pp. 1764-1772
    • Huyse, L.1    Padula, S.L.2    Lewis, R.M.3    Li, W.4
  • 6
    • 1642497564 scopus 로고    scopus 로고
    • Impact of Geometric Variability on Axial Compressor Performance
    • American Society of Mechanical Engineers, New York, Oct
    • Garzon, V. E., and Darmofal, D. L., "Impact of Geometric Variability on Axial Compressor Performance," International Gas Turbine and Aeroengine Congress and Exhibition, Vol. 125, American Society of Mechanical Engineers, New York, Oct. 2003, pp. 692-703.
    • (2003) International Gas Turbine and Aeroengine Congress and Exhibition , vol.125 , pp. 692-703
    • Garzon, V.E.1    Darmofal, D.L.2
  • 7
    • 85014687366 scopus 로고    scopus 로고
    • Mathematical Representation of Uncertainty
    • AIAA Paper 2001-1645, Mar
    • Oberkampf, W. L., Helton, J. C., and Sentz, K., "Mathematical Representation of Uncertainty," AIAA Paper 2001-1645, Mar. 2001.
    • (2001)
    • Oberkampf, W.L.1    Helton, J.C.2    Sentz, K.3
  • 8
    • 5244374227 scopus 로고
    • Methodology for Computational Fluid Dynamics Code Verification/Validation
    • AIAA Paper 95-2226, June
    • Oberkampf, W., Blottner, F., and Aeschliman, D., "Methodology for Computational Fluid Dynamics Code Verification/Validation," AIAA Paper 95-2226, June 1995.
    • (1995)
    • Oberkampf, W.1    Blottner, F.2    Aeschliman, D.3
  • 10
    • 63649097273 scopus 로고    scopus 로고
    • Huyse, L., and Walters, R. W., Random Field Solutions Including Boundary Condition Uncertainty for the Steady-State Generalized Burgere Equation, NASA. CR-2001-211239, Oct. 2001.
    • Huyse, L., and Walters, R. W., "Random Field Solutions Including Boundary Condition Uncertainty for the Steady-State Generalized Burgere Equation," NASA. CR-2001-211239, Oct. 2001.
  • 11
    • 11344293325 scopus 로고    scopus 로고
    • A Review of Robust Optimal Design and its Application in Dynamics
    • doi:10.1016/j.compstruc. 2004.10.007
    • Zang, C., Friswell, M., and Mottershead, J., "A Review of Robust Optimal Design and its Application in Dynamics," Computers and Structures, Vol. 83, Nos. 4-5, 2005, pp. 315-326. doi:10.1016/j.compstruc. 2004.10.007
    • (2005) Computers and Structures , vol.83 , Issue.4-5 , pp. 315-326
    • Zang, C.1    Friswell, M.2    Mottershead, J.3
  • 12
    • 33746389253 scopus 로고    scopus 로고
    • Robust Design of Compressor Fan Blades Against Erosion
    • doi:10.1115/1.2202886
    • Kumar, A., Keane, A. J., Nair, P. B., and Shahpar, S., "Robust Design of Compressor Fan Blades Against Erosion," Journal of Mechanical Design, Vol. 128, No. 4, 2006, pp. 864-873. doi:10.1115/1.2202886
    • (2006) Journal of Mechanical Design , vol.128 , Issue.4 , pp. 864-873
    • Kumar, A.1    Keane, A.J.2    Nair, P.B.3    Shahpar, S.4
  • 14
    • 0000786435 scopus 로고
    • The Homogeneous Chaos
    • doi:10.2307/2371268
    • Wiener, N., "The Homogeneous Chaos," American Journal of Mathematics, Vol. 60, No. 4, 1938, pp. 897-936. doi:10.2307/2371268
    • (1938) American Journal of Mathematics , vol.60 , Issue.4 , pp. 897-936
    • Wiener, N.1
  • 15
    • 0000148817 scopus 로고
    • The Orthogonal Development of Non-Linear Functionals in Series of Fourier-Hermite Functionals
    • Cameron, R. H., and Martin, W. T., "The Orthogonal Development of Non-Linear Functionals in Series of Fourier-Hermite Functionals," Annals of Mathematics, Vol. 48, No. 2, 1947, pp. 385-392.
    • (1947) Annals of Mathematics , vol.48 , Issue.2 , pp. 385-392
    • Cameron, R.H.1    Martin, W.T.2
  • 17
    • 0033528038 scopus 로고    scopus 로고
    • Ingredients for a General Purpose Stochastic Finite Elements Implementation
    • doi:10.1016/S0045-7825(98) 00106-6
    • Ghanem, R., "Ingredients for a General Purpose Stochastic Finite Elements Implementation," Computer Methods in Applied Mechanics and Engineering, Vol. 168, Nos. 1-4, 1999, pp. 19-34. doi:10.1016/S0045-7825(98) 00106-6
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.168 , Issue.1-4 , pp. 19-34
    • Ghanem, R.1
  • 18
    • 0033008165 scopus 로고    scopus 로고
    • Stochastic Finite Elements with Multiple Random Non-Gaussian Properties
    • Jan, doi:10.1061/(ASCE)0733-9399(1999)125
    • Ghanem, R., "Stochastic Finite Elements with Multiple Random Non-Gaussian Properties," Journal of Engineering Mechanics, Vol. 125, No. 1, Jan. 1999, pp. 26-40. doi:10.1061/(ASCE)0733-9399(1999)125:1(26)
    • (1999) Journal of Engineering Mechanics , vol.125 , Issue.1-26 , pp. 26-40
    • Ghanem, R.1
  • 19
    • 0011074291 scopus 로고    scopus 로고
    • Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos
    • doi:10.1115/1.1436089
    • Xiu, D., Lucor, D., Su, C., and Karniadakis, G. E., "Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos," Journal of Fluids Engineering, Vol. 124, No. 1, 2002, pp. 51-59. doi:10.1115/1.1436089
    • (2002) Journal of Fluids Engineering , vol.124 , Issue.1 , pp. 51-59
    • Xiu, D.1    Lucor, D.2    Su, C.3    Karniadakis, G.E.4
  • 20
    • 0037249229 scopus 로고    scopus 로고
    • The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations
    • doi:10.1137/S1064827501387826
    • Xiu, D., and Karniadakis, G. E., "The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations," Journal of Scientific Computing, Vol. 24, No. 2, 2002, pp. 619-644. doi:10.1137/S1064827501387826
    • (2002) Journal of Scientific Computing , vol.24 , Issue.2 , pp. 619-644
    • Xiu, D.1    Karniadakis, G.E.2
  • 21
    • 0037184252 scopus 로고    scopus 로고
    • Modeling Uncertainty in Steady State Diffusion Problems via Generalized Polynomial Chaos
    • doi:10.1016/S0045-7825(02)00421-8
    • Xiu, D., and Karniadakis, G. E., "Modeling Uncertainty in Steady State Diffusion Problems via Generalized Polynomial Chaos," Computer Methods in Applied Mechanics and Engineering, Vol. 191, No. 43, 2002, pp. 4927-4948. doi:10.1016/S0045-7825(02)00421-8
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , Issue.43 , pp. 4927-4948
    • Xiu, D.1    Karniadakis, G.E.2
  • 22
    • 0037408312 scopus 로고    scopus 로고
    • Modeling Uncertainty in Flow Simulations via Generalized Polynomial Chaos
    • doi:10.1016/S0021-9991(03) 00092-5
    • Xiu, D., and Karniadakis, G. E., "Modeling Uncertainty in Flow Simulations via Generalized Polynomial Chaos," Journal of Computational Physics, Vol. 187, No. 1, 2003, pp. 137-167. doi:10.1016/S0021-9991(03) 00092-5
    • (2003) Journal of Computational Physics , vol.187 , Issue.1 , pp. 137-167
    • Xiu, D.1    Karniadakis, G.E.2
  • 23
    • 33746436285 scopus 로고    scopus 로고
    • Uncertainty Propagation in CFD Using Polynomial Chaos Decomposition
    • doi:10.1016/j.fluiddyn.2005.12.003
    • Knio, O., and Le Maître, O., "Uncertainty Propagation in CFD Using Polynomial Chaos Decomposition," Fluid Dynamics Research, Vol. 38, No. 9, 2006, pp. 616-640. doi:10.1016/j.fluiddyn.2005.12.003
    • (2006) Fluid Dynamics Research , vol.38 , Issue.9 , pp. 616-640
    • Knio, O.1    Le Maître, O.2
  • 24
    • 0035506770 scopus 로고    scopus 로고
    • A Stochastic Projection Method for Fluid Flow I: Basic Formulation
    • doi:10.1006/jcph.2001.6889
    • Le Maître, O. P., Knio, O. M., Najm, H. N., and Ghanem, R. G., "A Stochastic Projection Method for Fluid Flow I: Basic Formulation," Journal of Computational Physics, Vol. 173, No. 2, 2001, pp. 481-511. doi:10.1006/jcph.2001.6889
    • (2001) Journal of Computational Physics , vol.173 , Issue.2 , pp. 481-511
    • Le Maître, O.P.1    Knio, O.M.2    Najm, H.N.3    Ghanem, R.G.4
  • 25
    • 4344610300 scopus 로고    scopus 로고
    • Mathelin, L., Hussaini, M. Y., Zang, T. A., and Bataille, F., Uncertainty Propagation for a Turbulent, Compressible Nozzle Flow Using Stochastic Methods, AIAA Journal, 42, No. 8, 2004, pp. 1669-1.675. doi:10.2514/1.5674
    • Mathelin, L., Hussaini, M. Y., Zang, T. A., and Bataille, F., "Uncertainty Propagation for a Turbulent, Compressible Nozzle Flow Using Stochastic Methods," AIAA Journal, Vol. 42, No. 8, 2004, pp. 1669-1.675. doi:10.2514/1.5674
  • 27
    • 30744443956 scopus 로고    scopus 로고
    • An Implicit Compact Polynomial Chaos Formulation for the Euler Equations
    • AIAA Paper 2005-1406, Jan
    • Perez, R., and Walters, R. W., "An Implicit Compact Polynomial Chaos Formulation for the Euler Equations," AIAA Paper 2005-1406, Jan. 2005.
    • (2005)
    • Perez, R.1    Walters, R.W.2
  • 28
    • 77952830193 scopus 로고    scopus 로고
    • Generating Simulated Responses for Stochastic Systems Using Polynomial Chaos and Wick Products
    • CD-ROM, Federal Univ. of Rio de Janeiro, Rio de Janeiro, Brazil
    • Emery, A., "Generating Simulated Responses for Stochastic Systems Using Polynomial Chaos and Wick Products," Inverse Problems, Design and Optimization Symposium [CD-ROM], Federal Univ. of Rio de Janeiro, Rio de Janeiro, Brazil, 2004.
    • (2004) Inverse Problems, Design and Optimization Symposium
    • Emery, A.1
  • 30
    • 16244411330 scopus 로고    scopus 로고
    • Adaptive Generalized Polynomial Chaos for Nonlinear Random Oscillators
    • doi:10.1137/S1064827503427984
    • Lucor, D., and Karniadakis, G. E., "Adaptive Generalized Polynomial Chaos for Nonlinear Random Oscillators," Journal of Scientific Computing, Vol. 26, No. 2, 2004, pp. 720-735. doi:10.1137/S1064827503427984
    • (2004) Journal of Scientific Computing , vol.26 , Issue.2 , pp. 720-735
    • Lucor, D.1    Karniadakis, G.E.2
  • 31
    • 33646577797 scopus 로고    scopus 로고
    • High-Order Collocation Methods for Differential Equations with Random Inputs
    • doi:10.1137/040615201
    • Xiu, D., and Hesthaven, J. S., "High-Order Collocation Methods for Differential Equations with Random Inputs," SIAM Journal on Scientific Computing, Vol. 27, No. 3, 2005, pp. 1118-1139. doi:10.1137/040615201
    • (2005) SIAM Journal on Scientific Computing , vol.27 , Issue.3 , pp. 1118-1139
    • Xiu, D.1    Hesthaven, J.S.2
  • 32
    • 84950303594 scopus 로고    scopus 로고
    • Efficient Uncertainty Quantification Using a Two-Step Approach with Chaos Collocation
    • Egmond aan Zee, The Netherlands, retrieved 8 November 2008
    • Loeven, A., Witteveen, J., and Bijl, H., "Efficient Uncertainty Quantification Using a Two-Step Approach with Chaos Collocation," European Conference on Computational Fluid Dynamics, Egmond aan Zee, The Netherlands, 2006, http://proceedings.fyper.com/eccomascfd2006/ [retrieved 8 November 2008].
    • (2006) European Conference on Computational Fluid Dynamics
    • Loeven, A.1    Witteveen, J.2    Bijl, H.3
  • 34
    • 33745346803 scopus 로고    scopus 로고
    • Long-Term Behavior of Polynomial Chaos in Stochastic Flow Simulations
    • doi:10.1016/j.cma.2005.10.016
    • Wan, X., and Karniadakis, G. E., "Long-Term Behavior of Polynomial Chaos in Stochastic Flow Simulations," Computer Methods in Applied Mechanics and Engineering, Vol. 195, Nos. 41-43, 2006, pp. 5582-5596. doi:10.1016/j.cma.2005.10.016
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , Issue.41-43 , pp. 5582-5596
    • Wan, X.1    Karniadakis, G.E.2
  • 35
    • 16244382554 scopus 로고    scopus 로고
    • Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes
    • doi:10.1137/S1064827503427741
    • Debusschere, B. J., Najm, H. N., Pebay, P. P., Knio, O. M., Ghanem, R. G., and Le Maître, O. P., "Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes," Journal of Scientific Computing, Vol. 26, No. 2, 2004, pp. 698-719. doi:10.1137/S1064827503427741
    • (2004) Journal of Scientific Computing , vol.26 , Issue.2 , pp. 698-719
    • Debusschere, B.J.1    Najm, H.N.2    Pebay, P.P.3    Knio, O.M.4    Ghanem, R.G.5    Le Maître, O.P.6
  • 36
    • 0036742814 scopus 로고    scopus 로고
    • A Stochastic Projection Method for Fluid Flow 2: Random Processes
    • doi:10.1006/jcph.2002.7104
    • Le Maître, O. P., Reagan, M. T., Najm, H. N., Ghanem, R. G., and Knio, O. M., "A Stochastic Projection Method for Fluid Flow 2: Random Processes," Journal of Computational Physics, Vol. 181, No. 1, 2002, pp. 9-44. doi:10.1006/jcph.2002.7104
    • (2002) Journal of Computational Physics , vol.181 , Issue.1 , pp. 9-44
    • Le Maître, O.P.1    Reagan, M.T.2    Najm, H.N.3    Ghanem, R.G.4    Knio, O.M.5
  • 38
    • 0024552399 scopus 로고
    • XFOIL: An Analysis andDesign System for Low Reynolds Number Airfoils
    • Low Reynolds Number Aerodynamics, edited by T. J. Mueller, Springer-Verlag, New York
    • Drela, M., "XFOIL: An Analysis andDesign System for Low Reynolds Number Airfoils," Low Reynolds Number Aerodynamics, edited by T. J. Mueller, Lecture Notes in Engineering, Vol. 54, Springer-Verlag, New York, 1989, pp. 1-12.
    • (1989) Lecture Notes in Engineering , vol.54 , pp. 1-12
    • Drela, M.1
  • 41
    • 0003054892 scopus 로고    scopus 로고
    • Differential Evolution - A Simple Evolution Strategy for Fast Optimization
    • Price, K., and Stom, R., "Differential Evolution - A Simple Evolution Strategy for Fast Optimization," Dr. Dobb's Journal, Vol. 22, No. 4, 1997, pp. 18-24.
    • (1997) Dr. Dobb's Journal , vol.22 , Issue.4 , pp. 18-24
    • Price, K.1    Stom, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.