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Title: Validation and uncertainty quantification of multiphase-CFD solvers: A data-driven Bayesian framework supported by high-resolution experiments

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Nuclear Engineering and Design
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Journal Name: Nuclear Engineering and Design Journal Volume: 354 Journal Issue: C; Journal ID: ISSN 0029-5493
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Liu, Yang, Sun, Xiaodong, and Dinh, Nam T. Validation and uncertainty quantification of multiphase-CFD solvers: A data-driven Bayesian framework supported by high-resolution experiments. Netherlands: N. p., 2019. Web. doi:10.1016/j.nucengdes.2019.110200.
Liu, Yang, Sun, Xiaodong, & Dinh, Nam T. Validation and uncertainty quantification of multiphase-CFD solvers: A data-driven Bayesian framework supported by high-resolution experiments. Netherlands.
Liu, Yang, Sun, Xiaodong, and Dinh, Nam T. Sun . "Validation and uncertainty quantification of multiphase-CFD solvers: A data-driven Bayesian framework supported by high-resolution experiments". Netherlands.
title = {Validation and uncertainty quantification of multiphase-CFD solvers: A data-driven Bayesian framework supported by high-resolution experiments},
author = {Liu, Yang and Sun, Xiaodong and Dinh, Nam T.},
abstractNote = {},
doi = {10.1016/j.nucengdes.2019.110200},
journal = {Nuclear Engineering and Design},
number = C,
volume = 354,
place = {Netherlands},
year = {2019},
month = {12}

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Works referenced in this record:

A new method for model validation with multivariate output
journal, January 2018

Integration of conductivity probe with optical and x-ray imaging systems for local air–water two-phase flow measurement
journal, August 2018

  • Wang, Dewei; Song, Kyle; Fu, Yucheng
  • Measurement Science and Technology, Vol. 29, Issue 10
  • DOI: 10.1088/1361-6501/aad640

Liquid-phase turbulence measurements in air-water two-phase flows over a wide range of void fractions
journal, December 2016

CFD modelling of subcooled boiling—Concept, validation and application to fuel assembly design
journal, April 2007

A comprehensive framework for verification, validation, and uncertainty quantification in scientific computing
journal, June 2011

  • Roy, Christopher J.; Oberkampf, William L.
  • Computer Methods in Applied Mechanics and Engineering, Vol. 200, Issue 25-28
  • DOI: 10.1016/j.cma.2011.03.016

A method for the analysis of hot-film anemometer signals in two-phase flows
journal, December 1978

Comparison and uncertainty quantification of two-fluid models for bubbly flows with NEPTUNE_CFD and STAR-CCM+
journal, October 2018

Experimental study of bubbly flow using image processing techniques
journal, December 2016

Measures of agreement between computation and experiment: Validation metrics
journal, September 2006

  • Oberkampf, William L.; Barone, Matthew F.
  • Journal of Computational Physics, Vol. 217, Issue 1
  • DOI: 10.1016/

Factorial Sampling Plans for Preliminary Computational Experiments
journal, May 1991

PTV experiments of subcooled boiling flow through a vertical rectangular channel
journal, September 2010

A two-equation turbulence model of turbulent bubbly flows
journal, November 2001

Bubble size measurement using wire-mesh sensors
journal, August 2001

Air-water two-phase bubbly flow across 90° vertical elbows. Part I: Experiment
journal, August 2018

The boiling crisis phenomenon
journal, August 2002

Measurements of liquid-phase turbulence in gas–liquid two-phase flows using particle image velocimetry
journal, October 2013

Drag coefficient and relative velocity in bubbly, droplet or particulate flows
journal, September 1979

New validation metrics for models with multiple correlated responses
journal, July 2014

Estimation of probability Density Functions for model input parameters using inverse uncertainty quantification with bias terms
journal, November 2019

Active Subspace Methods in Theory and Practice: Applications to Kriging Surfaces
journal, January 2014

  • Constantine, Paul G.; Dow, Eric; Wang, Qiqi
  • SIAM Journal on Scientific Computing, Vol. 36, Issue 4
  • DOI: 10.1137/130916138

DNS–Assisted Modeling of Bubbly Flows in Vertical Channels
journal, November 2016

  • Tryggvason, Gretar; Ma, Ming; Lu, Jiacai
  • Nuclear Science and Engineering, Vol. 184, Issue 3
  • DOI: 10.13182/NSE16-10

Validation of imprecise probability models
journal, January 2009

  • Ferson, Scott; Oberkampf, William L.
  • International Journal of Reliability and Safety, Vol. 3, Issue 1/2/3
  • DOI: 10.1504/IJRS.2009.026832

Measurement of subcooled flow boiling using Particle Tracking Velocimetry and infrared thermographic technique
journal, March 2014

High fidelity numerical simulations of an infinite wire-wrapped fuel assembly
journal, August 2018

Extension of cfd Codes Application to Two-Phase flow Safety Problems
journal, August 2010

The force exerted on a body in inviscid unsteady non-uniform rotational flow
journal, December 1988

Drag Coefficients of Single Bubbles under Normal and Micro Gravity Conditions.
journal, January 1998

  • Tomiyama, Akio; Kataoka, Isao; Zun, Iztok
  • JSME International Journal Series B, Vol. 41, Issue 2
  • DOI: 10.1299/jsmeb.41.472

Multidimensional modeling of turbulent two-phase flows in stirred vessels
journal, December 1992

Uncertainty quantification of two-phase flow and boiling heat transfer simulations through a data-driven modular Bayesian approach
journal, August 2019

Development of the miniaturized four-sensor conductivity probe and the signal processing scheme
journal, November 2000

The numerical computation of turbulent flows
journal, March 1974

Validation and Uncertainty Quantification for Wall Boiling Closure Relations in Multiphase-CFD Solver
journal, September 2018

Assessment of a simplified set of momentum closure relations for low volume fraction regimes in STAR-CCM+ and OpenFOAM
journal, December 2017

Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates
journal, February 2001

Prioritization of nuclear thermal-hydraulics researches
journal, December 2018

Axial development of interfacial area and void concentration profiles measured by double-sensor probe method
journal, February 1995

  • Leung, W. H.; Revankar, S. T.; Ishii, Y.
  • International Journal of Heat and Mass Transfer, Vol. 38, Issue 3
  • DOI: 10.1016/0017-9310(94)00181-T

Data-driven modeling for boiling heat transfer: Using deep neural networks and high-fidelity simulation results
journal, November 2018

A sharp-interface phase change model for a mass-conservative interface tracking method
journal, September 2013

CFD for subcooled flow boiling: Simulation of DEBORA experiments
journal, September 2011

Inverse uncertainty quantification using the modular Bayesian approach based on Gaussian process, Part 1: Theory
journal, August 2018

A strategy for the qualification of multi-fluid approaches for nuclear reactor safety
journal, April 2016

Accuracy of Eulerian–Eulerian, two-fluid CFD boiling models of subcooled boiling flows
journal, December 2016

The boiling crisis phenomenon
journal, August 2002

Toward a Better Understanding of Model Validation Metrics
journal, July 2011

  • Liu, Yu; Chen, Wei; Arendt, Paul
  • Journal of Mechanical Design, Vol. 133, Issue 7
  • DOI: 10.1115/1.4004223

Analysis of phase distribution in fully developed laminar bubbly two-phase flow
journal, September 1991

Model validation and predictive capability for the thermal challenge problem
journal, May 2008

  • Ferson, Scott; Oberkampf, William L.; Ginzburg, Lev
  • Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issue 29-32
  • DOI: 10.1016/j.cma.2007.07.030

Direct numerical simulation of reactor two-phase flows enabled by high-performance computing
journal, April 2018

Bayesian calibration of computer models
journal, August 2001

  • Kennedy, Marc C.; O'Hagan, Anthony
  • Journal of the Royal Statistical Society: Series B (Statistical Methodology), Vol. 63, Issue 3
  • DOI: 10.1111/1467-9868.00294

Model validation and calibration based on component functions of model output
journal, August 2015

Analysis of heat transfer under high heat flux nucleate boiling conditions
journal, June 2016

Physics-informed machine learning approach for reconstructing Reynolds stress modeling discrepancies based on DNS data
journal, March 2017

Kriging-based inverse uncertainty quantification of nuclear fuel performance code BISON fission gas release model using time series measurement data
journal, January 2018

Validation metric based on Mahalanobis distance for models with multiple correlated responses
journal, March 2017

Comparison between wire-mesh sensors and conductive needle-probes for measurements of two-phase flow parameters
journal, September 2009

Computational multi-fluid dynamics predictions of critical heat flux in boiling flow
journal, April 2016

Drag coefficient in one-dimensional two-group two-fluid model
journal, October 2008

A data-driven framework for error estimation and mesh-model optimization in system-level thermal-hydraulic simulation
journal, August 2019

A Comparative Review of Sensitivity and Uncertainty Analysis of Large-Scale Systems—II: Statistical Methods
journal, July 2004

  • Cacuci, Dan G.; Ionescu-Bujor, Mihaela
  • Nuclear Science and Engineering, Vol. 147, Issue 3
  • DOI: 10.13182/04-54CR

Feasibility investigation of experimental visualization techniques to study subcooled boiling flow
journal, July 2015

Evaluation of bubble-induced turbulence using direct numerical simulation
journal, July 2017

Liquid velocity distribution in two-phase bubble flow
journal, June 1975

A Bayesian calibration approach to the thermal problem
journal, May 2008

  • Higdon, Dave; Nakhleh, Charles; Gattiker, James
  • Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issue 29-32
  • DOI: 10.1016/j.cma.2007.05.031

Investigation of subcooled flow boiling and CHF using high-resolution diagnostics
journal, December 2018