Turbulence modeling in the age of data K Duraisamy, G Iaccarino, H Xiao Annual Review of Fluid Mechanics 51, 357-377, 2019 | 1242 | 2019 |

Physics-informed machine learning approach for reconstructing Reynolds stress modeling discrepancies based on DNS data JX Wang, JL Wu, H Xiao Physical Review Fluids 2 (3), 034603, 2017 | 703 | 2017 |

Physics-informed machine learning approach for augmenting turbulence models: A comprehensive framework JL Wu, H Xiao, E Paterson Physical Review Fluids 3 (7), 074602, 2018 | 587 | 2018 |

Physics-informed machine learning: case studies for weather and climate modelling K Kashinath, M Mustafa, A Albert, JL Wu, C Jiang, S Esmaeilzadeh, ... Philosophical Transactions of the Royal Society A 379 (2194), 20200093, 2021 | 375 | 2021 |

Quantification of model uncertainty in RANS simulations: A review H Xiao, P Cinnella Progress in Aerospace Sciences 108, 1-31, 2019 | 367 | 2019 |

Quantifying and Reducing Model-Form Uncertainties in Reynolds-Averaged Navier-Stokes Equations: A Data-Driven, Physics-Informed Bayesian Approach H Xiao, JL Wu, JX Wang, R Sun, CJ Roy Journal of Computational Physics 324, 115-136, 2016 | 347 | 2016 |

Predictive large-eddy-simulation wall modeling via physics-informed neural networks XIA Yang, S Zafar, JX Wang, H Xiao Physical Review Fluids 4 (3), 034602, 2019 | 240 | 2019 |

Seeing permeability from images: fast prediction with convolutional neural networks J Wu, X Yin, H Xiao Science bulletin 63 (18), 1215-1222, 2018 | 199 | 2018 |

SediFoam: A general-purpose, open-source CFD–DEM solver for particle-laden flow with emphasis on sediment transport R Sun, H Xiao Computers & Geosciences 89, 207-219, 2016 | 173 | 2016 |

Reynolds-averaged Navier–Stokes equations with explicit data-driven Reynolds stress closure can be ill-conditioned J Wu, H Xiao, R Sun, Q Wang Journal of Fluid Mechanics 869, 553-586, 2019 | 169 | 2019 |

Enforcing statistical constraints in generative adversarial networks for modeling chaotic dynamical systems JL Wu, K Kashinath, A Albert, D Chirila, H Xiao Journal of Computational Physics 406, 109209, 2020 | 151 | 2020 |

Diffusion-based coarse graining in hybrid continuum–discrete solvers: Theoretical formulation and a priori tests R Sun, H Xiao International Journal of Multiphase Flow 77, 142-157, 2015 | 123 | 2015 |

Algorithms in a robust hybrid CFD-DEM solver for particle-laden flows H Xiao, J Sun Communications in Computational Physics 9 (2), 297-323, 2011 | 114 | 2011 |

Flows over periodic hills of parameterized geometries: A dataset for data-driven turbulence modeling from direct simulations H Xiao, JL Wu, S Laizet, L Duan Computers & Fluids 200, 104431, 2020 | 107 | 2020 |

A priori assessment of prediction confidence for data-driven turbulence modeling JL Wu, JX Wang, H Xiao, J Ling Flow, Turbulence and Combustion 99, 25-46, 2017 | 107* | 2017 |

Diffusion-based coarse graining in hybrid continuum–discrete solvers: Applications in CFD–DEM R Sun, H Xiao International Journal of Multiphase Flow 72, 233-247, 2015 | 102 | 2015 |

A comprehensive physics-informed machine learning framework for predictive turbulence modeling JX Wang, J Wu, J Ling, G Iaccarino, H Xiao arXiv preprint arXiv:1701.07102, 2017 | 92 | 2017 |

A consistent dual-mesh framework for hybrid LES/RANS modeling H Xiao, P Jenny Journal of Computational Physics 231 (4), 1848-1865, 2012 | 87 | 2012 |

Hydro-and morpho-dynamic modeling of breaking solitary waves over a fine sand beach. Part I: Experimental study YL Young, H Xiao, T Maddux Marine Geology 269 (3-4), 107-118, 2010 | 80 | 2010 |

A Bayesian calibration–prediction method for reducing model-form uncertainties with application in RANS simulations JL Wu, JX Wang, H Xiao Flow, Turbulence and Combustion 97, 761-786, 2016 | 77 | 2016 |