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:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

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

Grant/Contract Number:: AC04-94AL85000; AC52-07NA27344

OSTI ID:: 1574442

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

Report Number(s):: LLNL-JRNL--776297; 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

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
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Bi-fidelity approximation
Irradiated particle-laden turbulence
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Bi-fidelity approximation for uncertainty quantification and sensitivity analysis of irradiated particle-laden turbulence

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