ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2020, Vol. 41 ›› Issue (3): 123382-123382.doi: 10.7527/S1000-6893.2019.23382
• Fluid Mechanics and Flight Mechanics • Previous Articles Next Articles
CHEN Jiangtao, ZHANG Chao, LIU Xiao, ZHAO Hui, HU Xingzhi, WU Xiaojun
Received:
2019-08-14
Revised:
2019-11-08
Online:
2020-03-15
Published:
2019-11-07
Supported by:
CLC Number:
CHEN Jiangtao, ZHANG Chao, LIU Xiao, ZHAO Hui, HU Xingzhi, WU Xiaojun. Uncertainty quantification analysis with sparse polynomial chaos method[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(3): 123382-123382.
[1] | 王晓东, 康顺. 多项式混沌方法在随机方腔流动模拟中的应用[J]. 中国科学:技术科学, 2011,41(6):790-798. WANG X D, KANG S. Application of polynomial chaos on numerical simulation of stochastic cavity flow[J]. Sci China Tech Sci, 2011,41(6):790-798 (in Chinese). |
[2] | 刘智益, 王晓东, 康顺. 多元多项式混沌法在随机方腔流动模拟中的应用[J]. 工程热物理学报, 2012, 33(3):419-422. LIU Z Y, WANG X D, KANG S. Application of multidimensional polynomial chaos on numerical simulations of stochastic cavity flow[J]. Journal of Engineering Thermophysics, 2012, 33(3):419-422 (in Chinese). |
[3] | FISHMAN G. Monte Carlo:Concepts, algorithms and applications[M]. New York:Springer, 1996. |
[4] | GHANEM R, SPANOS P. Stochastic finite elements:A spectral approach[M]. New York:Springer, 1938. |
[5] | XIU D, KARNIADAKIS G. The Wiener-Askey polynomial chaos for stochastic differential equations[J]. SIAM Journal of Science Computer, 2002, 24(2):619-644. |
[6] | NAJM H N. Uncertainty quantification and polynomial chaos techniques in computational fluid dynamics[J]. Annual Review of Fluid Mechanics, 2009, 41:35-52. |
[7] | WIENER N. The homogeneous chaos[J]. American Journal of Mathematics, 1938, 60:897-936. |
[8] | GHANEM R G, SPANOS P D. Stochastic finite elements:A spectral approach[M]. Revised edition. New York:Dover Publications, 2003. |
[9] | XIU D, KARNIADAKIS G E. Modeling uncertainty in flow simulations via generalized polynomial chaos[J]. Journal of Computational Physics, 2003, 187:137-167. |
[10] | LE MAITRE O P, KNIO O, HABIB N N, et al. A stochastic projection method for fluid flow I. Basic formulation[J]. Journal of Computational Physics, 2001, 173:481-511. |
[11] | LACOR C, SMIRNOV S. Uncertainty propagation in the solution of compressible Navier-Stokes equations using polynomial chaos decomposition[C]//NATO RTO AVF-147 Symposium on Computational Uncertainty in Military Vehide Design, 2007. |
[12] | 王晓东, 康顺. 多项式混沌法求解随机Burgers 方程[J]. 工程热物理学报, 2010, 31(6):393-398. WANG X D, KANG S. Solving sochastic Burgers equation using polynomial chaos decomposition[J]. Journal of Engineering Thermophysics, 2010, 31(6):393-398 (in Chinese). |
[13] | ELDRED M S. Recent advances in non-intrusive polynomial chaos and stochastic collocation methods for uncertainty analysis and design:AIAA-2009-2274[R]. Reston, VA:AIAA, 2009. |
[14] | HOSDER S, WALTERS R W, BALCH M. Point-collocation nonintrusive polynomial chaos method for stochastic computational fluid dynamics[J]. AIAA Journal, 2010, 48(12):2721-2730. |
[15] | 张伟, 王小永, 于剑, 等. 来流导致的高超声速气动热不确定性量化分析[J]. 北京航空航天大学学报, 2018, 44(5):1102-1109. ZHANG W, WANG X Y, YU J, et al. Uncertainty quantification analysis in hypersonic aerothermodynamics due to freestream[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(5):1102-1109 (in Chinese). |
[16] | 刘全, 王瑞利, 林忠, 等. 爆轰计算JWL状态方程参数不确定性研究[J]. 爆炸与冲击, 2013,33(6):647-654. LIU Q, WANG R L, LIN Z, et al. Uncertainty quantification for JWL EOS parameters in explosive numerical simulation[J]. Explosion and Shock Waves, 2013, 33(6):647-654 (in Chinese). |
[17] | LUCOR D, KARNIADAKIS G E. Adaptive generalized polynomial chaos for nonlinear random oscillators[J]. SIAM Journal on Scientific Computing, 2004, 26(2):720-735. |
[18] | WAN X, KARNIADAKIS G E. An adaptive multi-element generalized polynomial chaos method for stochastic differential equations[J]. Journal of Computational Physicss, 2005, 209(2):617-642. |
[19] | BLATMAN G, SUDRET B. An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis[J]. Probability Engineering Mechanics, 2010, 25(2):183-97. |
[20] | BLATMAN G, SUDRET B. Adaptive sparse polynomial chaos expansion based on least angle regression[J]. Journal of Computational Physics, 2011, 230(6):2345-2367. |
[21] | BLATMAN G, SUDRET B. Efficient computation of global sensitivity indices using sparse polynomial chaos expansions[J]. Reliability Engineering & System Safety, 2010, 95(11):1216-1229. |
[22] | NAIR P B, KEANE A J. Stochastic reduced basis methods[J]. AIAA Journal, 2002, 40(8):1653-1664. |
[23] | RAISEE M, KUMAR D, LACOR C. A non-intrusive model reduction approach for polynomial chaos expansion using proper orthogonal decomposition[J]. International Journal for Numerical Methods in Engineering, 2015, 103(4):293-312. |
[24] | TODOR R A, SCHWAB C. Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients[J]. IMA Journal of Numerical Analysis, 2007, 27(2):232. |
[25] | BIERI M, SCHWAB C. Sparse high order FEM for elliptic spdes[J]. Computer Methods in Applied Mechanics and Engineering, 2009, 198(1314):1149-1170. |
[26] | DOOSTAN A, OWHADI H. A non-adapted sparse approximation of PDEs with stochastic inputs[J]. Journal of Computational Physics, 2011, 230(8):3015-3034. |
[27] | MATHELIN L, GALLIVAN K. A compressed sensing approach for partial differential equations with random input data[J]. Communications in Computational Physics, 2012, 12(4):919-954. |
[28] | YANG X, KARNIADAKIS G E. Reweighted 1 minimization method for stochastic elliptic differential equations[J]. Journal of Computational Physics, 2013, 248:87-108. |
[29] | PENG J, HAMPTON J, DOOSTAN A. A weighted 1-minimization approach for sparse polynomial chaos expansions[J]. Journal of Computational Physics, 2014, 267:92-111. |
[30] | SARGSYAN K, SAFTA C, NAJM H N, et al. Dimensionality reduction for complex models via bayesian compressive sensing[J]. International Journal of Uncertainty Quantify, 2014, 4(1):63-93. |
[31] | HAMPTON J, DOOSTAN A. Compressive sampling of polynomial chaos expansions:Convergence analysis and sampling strategies[J]. Journal of Computational Physics, 2015, 280:363-386. |
[32] | JAKEMAN J D, ELDRED M S, SARGSYAN K. Enhancing 1-minimization estimates of polynomial chaos expansions using basis selection[J]. Journal of Computational Physics, 2015, 289:18-34. |
[33] | SAEED S, MEHRDAD R, MICHEL J C, et al. Efficient uncertainty quantification of stochastic CFD problems using sparse polynomial chaos and compressed sensing[J]. Computers and Fluids, 2017, 157:296-321. |
[34] | CHEN J T, ZHANG Y B, ZHOU N C, et al. Numerical investigations of the high-lift configuration with Mflow solver[J]. Journal of Aircraft, 2015, 52(4):1051-1062. |
[35] | COOK P H, MCDONALD M A, FIRMIN M C P. Aerofoil RAE2822 pressure distributions, and boundary layer and wake measurements, experimental data base for computer program assessment:AGARD-1979-0138[R]. Paris:AGARD, 1979. |
[36] | SPALART P R, ALLMARAS S R. A one-equation turbulence model for aerodynamic flowst:AIAA-1992-0439[R]. Reston, VA:AIAA, 1992. |
[37] | 赵辉,胡星志,张健,等. 湍流模型系数的不确定度对翼型绕流模拟的影响[J].航空学报, 2019, 40 (6):122581. ZHAO H, HU X Z, ZHANG J, et al. Effects of the uncertainty in turbulence model closure coefficients on the simulation of flow over airfoil[J]. Acta Aeronautica et Astronautica Sinica, 2019, 40(6):122581(in Chinese). |
[38] | SOBOL I. Sensitivity estimates for nonlinear mathematical models[J]. Mathematical Modeling and Computational, Experiment,1993(1):407-414. |
[39] | 胡军,张树道,基于多项式混沌的全局敏感度分析[J]. 计算物理,2016, 33(1):1-13. HU J, ZHANG S D. Global sensitivity analysis based on polynomial chaos[J]. Chinese Journal of Computational Phsics, 2016, 33(1):1-13 (in Chinese). |
[40] | LACHAUD J, LAUB B. Ablation workshop test case[C]//4th Ablation Workshop, 2011:1-3. |
[41] | 刘骁, 国义军. 碳化材料三维烧蚀热响应有限元计算研究[J]. 宇航学报, 2016, 37(9):1150-1156. LIU X, GUO Y J. Numerical simulation research on three-dimensional ablative thermal response of charring ablators[J]. Journal of Astronautics, 2016, 37(9):1150-1156 (in Chinese). |
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