Bi-fidelity approximation for uncertainty quantification and sensitivity analysis of irradiated particle-laden turbulence

Fairbanks, Hillary R.; Jofre, Lluís; Geraci, Gianluca; Iaccarino, Gianluca; Doostan, Alireza

doi:10.1016/j.jcp.2019.108996

Bi-fidelity approximation for uncertainty quantification and sensitivity analysis of irradiated particle-laden turbulence

Journal Article · Wed Oct 02 00:00:00 EDT 2019 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2019.108996· OSTI ID:1574442

Fairbanks, Hillary R. ^[1]; ^[2]; Geraci, Gianluca ^[3]; Iaccarino, Gianluca ^[2]; Doostan, Alireza ^[4]

Univ. of Colorado, Boulder, CO (United States). Applied Mathematics and Statistics; Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Center for Applied Scientific Computing
Stanford Univ., Stanford, CA (United States). Center for Turbulence Research
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Center for Computing Research
Univ. of Colorado, Boulder, CO (United States). Smead Aerospace Engineering Sciences

Particle-laden turbulent flows subject to radiative heating are relevant in many applications, for example concentrated solar power receivers. Efficient and accurate simulations provide valuable insights and enable optimization of such systems. However, as there are many uncertainties inherent in such flows, uncertainty quantification is fundamental to improve the predictive capabilities of the numerical simulations. For large-scale, multi-physics problems exhibiting high-dimensional uncertainty, characterizing the stochastic solution presents a significant computational challenge as most strategies require a large number of high-fidelity solves. This requirement might result in an infeasible number of simulations when a typical converged high-fidelity simulation requires intensive computational resources. To reduce the cost of quantifying high-dimensional uncertainties, we investigate the application of a non-intrusive, bi-fidelity approximation to estimate statistics of quantities of interest associated with an irradiated particle-laden turbulent flow. This method exploits the low-rank structure of the solution to accelerate the stochastic sampling and approximation processes by means of cheaper-to-run, lower fidelity representations. Here, the application of this bi-fidelity approximation results in accurate estimates of the quantities of interest statistics, while requiring a small number of high-fidelity model evaluations.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1574442

Alternate ID(s):: OSTI ID: 1826461
OSTI ID: 1580007

Report Number(s):: SAND--2019-12147J; 680173

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 402; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (52)

Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients Barth, Andrea; Schwab, Christoph; Zollinger, Nathaniel Numerische Mathematik, Vol. 119, Issue 1 https://doi.org/10.1007/s00211-011-0377-0	journal	April 2011
Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients Teckentrup, A. L.; Scheichl, R.; Giles, M. B. Numerische Mathematik, Vol. 125, Issue 3 https://doi.org/10.1007/s00211-013-0546-4	journal	March 2013
Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients Cliffe, K. A.; Giles, M. B.; Scheichl, R. Computing and Visualization in Science, Vol. 14, Issue 1 https://doi.org/10.1007/s00791-011-0160-x	journal	January 2011
A Framework for Characterizing Structural Uncertainty in Large-Eddy Simulation Closures Jofre, Lluís; Domino, Stefan P.; Iaccarino, Gianluca Flow, Turbulence and Combustion, Vol. 100, Issue 2 https://doi.org/10.1007/s10494-017-9844-8	journal	August 2017
Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates Sobol′, I. M. Mathematics and Computers in Simulation, Vol. 55, Issue 1-3 https://doi.org/10.1016/S0378-4754(00)00270-6	journal	February 2001
A randomized algorithm for the decomposition of matrices Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark Applied and Computational Harmonic Analysis, Vol. 30, Issue 1 https://doi.org/10.1016/j.acha.2010.02.003	journal	January 2011
Multifidelity importance sampling Peherstorfer, Benjamin; Cui, Tiangang; Marzouk, Youssef Computer Methods in Applied Mechanics and Engineering, Vol. 300 https://doi.org/10.1016/j.cma.2015.12.002	journal	March 2016
Eigensensitivity analysis of subgrid-scale stresses in large-eddy simulation of a turbulent axisymmetric jet Jofre, Lluís; Domino, Stefan P.; Iaccarino, Gianluca International Journal of Heat and Fluid Flow, Vol. 77 https://doi.org/10.1016/j.ijheatfluidflow.2019.04.014	journal	June 2019
Effects of particle polydispersity on radiative heat transfer in particle-laden turbulent flows Rahmani, M.; Geraci, G.; Iaccarino, G. International Journal of Multiphase Flow, Vol. 104 https://doi.org/10.1016/j.ijmultiphaseflow.2018.03.011	journal	July 2018
A non-adapted sparse approximation of PDEs with stochastic inputs Doostan, Alireza; Owhadi, Houman Journal of Computational Physics, Vol. 230, Issue 8 https://doi.org/10.1016/j.jcp.2011.01.002	journal	April 2011
Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies Hampton, Jerrad; Doostan, Alireza Journal of Computational Physics, Vol. 280 https://doi.org/10.1016/j.jcp.2014.09.019	journal	January 2015
A model and variance reduction method for computing statistical outputs of stochastic elliptic partial differential equations Vidal-Codina, F.; Nguyen, N. C.; Giles, M. B. Journal of Computational Physics, Vol. 297 https://doi.org/10.1016/j.jcp.2015.05.041	journal	September 2015
A low-rank control variate for multilevel Monte Carlo simulation of high-dimensional uncertain systems Fairbanks, Hillary R.; Doostan, Alireza; Ketelsen, Christian Journal of Computational Physics, Vol. 341 https://doi.org/10.1016/j.jcp.2017.03.060	journal	July 2017
A scalable geometric multigrid solver for nonsymmetric elliptic systems with application to variable-density flows Esmaily, M.; Jofre, L.; Mani, A. Journal of Computational Physics, Vol. 357 https://doi.org/10.1016/j.jcp.2017.12.024	journal	March 2018
Practical error bounds for a non-intrusive bi-fidelity approach to parametric/stochastic model reduction Hampton, Jerrad; Fairbanks, Hillary R.; Narayan, Akil Journal of Computational Physics, Vol. 368 https://doi.org/10.1016/j.jcp.2018.04.015	journal	September 2018
Monte Carlo modeling of radiative heat transfer in particle-laden flow Farbar, Erin; Boyd, Iain D.; Esmaily-Moghadam, Mahdi Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 184 https://doi.org/10.1016/j.jqsrt.2016.07.007	journal	November 2016
Efficient control variates for uncertainty quantification of radiation transport Frankel, A.; Iaccarino, G. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 189 https://doi.org/10.1016/j.jqsrt.2016.12.033	journal	March 2017
Lagrangian–Eulerian methods for multiphase flows Subramaniam, Shankar Progress in Energy and Combustion Science, Vol. 39, Issue 2-3 https://doi.org/10.1016/j.pecs.2012.10.003	journal	April 2013
Global sensitivity analysis using polynomial chaos expansions Sudret, Bruno Reliability Engineering & System Safety, Vol. 93, Issue 7 https://doi.org/10.1016/j.ress.2007.04.002	journal	July 2008
Advances in central receivers for concentrating solar applications Ho, Clifford K. Solar Energy, Vol. 152 https://doi.org/10.1016/j.solener.2017.03.048	journal	August 2017
Effect of finite boundaries on the Stokes resistance of an arbitrary particle Brenner, Howard Journal of Fluid Mechanics, Vol. 12, Issue 1 https://doi.org/10.1017/S0022112062000026	journal	January 1962
Wall accumulation and spatial localization in particle-laden wall flows Sardina, G.; Schlatter, P.; Brandt, L. Journal of Fluid Mechanics, Vol. 699 https://doi.org/10.1017/jfm.2012.65	journal	April 2012
Settling of heated particles in homogeneous turbulence Frankel, Ari; Pouransari, H.; Coletti, F. Journal of Fluid Mechanics, Vol. 792 https://doi.org/10.1017/jfm.2016.102	journal	March 2016
Drag of a heated sphere at low Reynolds numbers in the absence of buoyancy Ganguli, Swetava; Lele, Sanjiva K. Journal of Fluid Mechanics, Vol. 869 https://doi.org/10.1017/jfm.2019.187	journal	April 2019
Dynamics of particle-particle collisions in a viscous liquid Yang, F. -L.; Hunt, M. L. Physics of Fluids, Vol. 18, Issue 12 https://doi.org/10.1063/1.2396925	journal	December 2006
Radiation induces turbulence in particle-laden fluids Zamansky, Rémi; Coletti, Filippo; Massot, Marc Physics of Fluids, Vol. 26, Issue 7 https://doi.org/10.1063/1.4890296	journal	July 2014
Preferential concentration of particles by turbulence Squires, Kyle D.; Eaton, John K. Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 5 https://doi.org/10.1063/1.858045	journal	May 1991
Equation of motion for a small rigid sphere in a nonuniform flow Maxey, Martin R. Physics of Fluids, Vol. 26, Issue 4 https://doi.org/10.1063/1.864230	journal	January 1983
Large eddy simulation of particle‐laden turbulent channel flow Wang, Qunzhen; Squires, Kyle D. Physics of Fluids, Vol. 8, Issue 5 https://doi.org/10.1063/1.868911	journal	May 1996
LII. The viscosity of gases and molecular force Sutherland, William The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 36, Issue 223 https://doi.org/10.1080/14786449308620508	journal	December 1893
Multi-level adaptive solutions to boundary-value problems Brandt, Achi Mathematics of Computation, Vol. 31, Issue 138 https://doi.org/10.1090/S0025-5718-1977-0431719-X	journal	May 1977
Predicting the output from a complex computer code when fast approximations are available Kennedy, M. Biometrika, Vol. 87, Issue 1 https://doi.org/10.1093/biomet/87.1.1	journal	March 2000
Building Surrogate Models Based on Detailed and Approximate Simulations Qian, Zhiguang; Seepersad, Carolyn Conner; Joseph, V. Roshan Journal of Mechanical Design, Vol. 128, Issue 4 https://doi.org/10.1115/1.2179459	journal	June 2005
Effects of Preferential Concentration on Heat Transfer in Particle-Based Solar Receivers Pouransari, Hadi; Mani, Ali Journal of Solar Energy Engineering, Vol. 139, Issue 2 https://doi.org/10.1115/1.4035163	journal	November 2016
On the Compression of Low Rank Matrices Cheng, H.; Gimbutas, Z.; Martinsson, P. G. SIAM Journal on Scientific Computing, Vol. 26, Issue 4 https://doi.org/10.1137/030602678	journal	January 2005
High-Order Collocation Methods for Differential Equations with Random Inputs Xiu, Dongbin; Hesthaven, Jan S. SIAM Journal on Scientific Computing, Vol. 27, Issue 3 https://doi.org/10.1137/040615201	journal	January 2005
Efficient Algorithms for Computing a Strong Rank-Revealing QR Factorization Gu, Ming; Eisenstat, Stanley C. SIAM Journal on Scientific Computing, Vol. 17, Issue 4 https://doi.org/10.1137/0917055	journal	July 1996
A Stochastic Collocation Algorithm with Multifidelity Models Narayan, Akil; Gittelson, Claude; Xiu, Dongbin SIAM Journal on Scientific Computing, Vol. 36, Issue 2 https://doi.org/10.1137/130929461	journal	January 2014
Computational Aspects of Stochastic Collocation with Multifidelity Models Zhu, Xueyu; Narayan, Akil; Xiu, Dongbin SIAM/ASA Journal on Uncertainty Quantification, Vol. 2, Issue 1 https://doi.org/10.1137/130949154	journal	January 2014
Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max SIAM Review, Vol. 60, Issue 3 https://doi.org/10.1137/16M1082469	journal	January 2018
The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations Xiu, Dongbin; Karniadakis, George Em SIAM Journal on Scientific Computing, Vol. 24, Issue 2 https://doi.org/10.1137/S1064827501387826	journal	January 2002
Ocean Spray Veron, Fabrice Annual Review of Fluid Mechanics, Vol. 47, Issue 1 https://doi.org/10.1146/annurev-fluid-010814-014651	journal	January 2015
Modeling of Fine-Particle Formation in Turbulent Flames Raman, Venkat; Fox, Rodney O. Annual Review of Fluid Mechanics, Vol. 48, Issue 1 https://doi.org/10.1146/annurev-fluid-122414-034306	journal	January 2016
Turbulent Dispersed Multiphase Flow Balachandar, S.; Eaton, John K. Annual Review of Fluid Mechanics, Vol. 42, Issue 1 https://doi.org/10.1146/annurev.fluid.010908.165243	journal	January 2010
Liquid Jet Instability and Atomization in a Coaxial Gas Stream Lasheras, J. C.; Hopfinger, E. J. Annual Review of Fluid Mechanics, Vol. 32, Issue 1 https://doi.org/10.1146/annurev.fluid.32.1.275	journal	January 2000
O N THE F LUID M ECHANICS OF F IRES Tieszen, Sheldon R. Annual Review of Fluid Mechanics, Vol. 33, Issue 1 https://doi.org/10.1146/annurev.fluid.33.1.67	journal	January 2001
W ALL -L AYER M ODELS FOR L ARGE -E DDY S IMULATIONS Piomelli, Ugo; Balaras, Elias Annual Review of Fluid Mechanics, Vol. 34, Issue 1 https://doi.org/10.1146/annurev.fluid.34.082901.144919	journal	January 2002
P ARTICLE -T URBULENCE I NTERACTIONS IN A TMOSPHERIC C LOUDS Shaw, Raymond A. Annual Review of Fluid Mechanics, Vol. 35, Issue 1 https://doi.org/10.1146/annurev.fluid.35.101101.161125	journal	January 2003
Transfer of Particles in Nonisotropic Air Turbulence Caporaloni, M.; Tampieri, F.; Trombetti, F. Journal of the Atmospheric Sciences, Vol. 32, Issue 3 https://doi.org/10.1175/1520-0469(1975)032<0565:TOPINA>2.0.CO;2	journal	March 1975
Multilevel Monte Carlo Path Simulation Giles, Michael B. Operations Research, Vol. 56, Issue 3 https://doi.org/10.1287/opre.1070.0496	journal	June 2008
A multilevel approach to control variates Speight, Adam The Journal of Computational Finance, Vol. 12, Issue 4 https://doi.org/10.21314/JCF.2009.201	journal	June 2009
Building Efficient Response Surfaces of Aerodynamic Functions with Kriging and Cokriging Laurenceau, J.; Sagaut, P. AIAA Journal, Vol. 46, Issue 2 https://doi.org/10.2514/1.32308	journal	February 2008

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Bi-fidelity approximation
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Bi-fidelity approximation for uncertainty quantification and sensitivity analysis of irradiated particle-laden turbulence

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