Parameter estimation for complex thermal-fluid flows using approximate Bayesian computation

[1]  Heng Xiao,et al.  Quantifying and reducing model-form uncertainties in Reynolds-averaged Navier-Stokes simulations: A data-driven, physics-informed Bayesian approach , 2015, J. Comput. Phys..

[2]  Hrvoje Jasak,et al.  A tensorial approach to computational continuum mechanics using object-oriented techniques , 1998 .

[3]  T. Trucano,et al.  Verification, Validation, and Predictive Capability in Computational Engineering and Physics , 2004 .

[4]  Henrik Madsen,et al.  Parameter estimation in distributed hydrological catchment modelling using automatic calibration with multiple objectives , 2003 .

[5]  M. Feldman,et al.  Population growth of human Y chromosomes: a study of Y chromosome microsatellites. , 1999, Molecular biology and evolution.

[6]  D. Thomson,et al.  Spectrum estimation and harmonic analysis , 1982, Proceedings of the IEEE.

[7]  Elisabeth Ngo Nyobe,et al.  Genetic Algorithm Approach and Experimental Confirmation of a Laser-Based Diagnostic Technique for the Local Thermal Turbulence in a Hot Wind Tunnel Jet , 2011 .

[8]  P. Donnelly,et al.  Inferring coalescence times from DNA sequence data. , 1997, Genetics.

[9]  David J. Nott,et al.  Generalized likelihood uncertainty estimation (GLUE) and approximate Bayesian computation: What's the connection? , 2012 .

[10]  C. Gorlé,et al.  Improving urban flow predictions through data assimilation , 2018 .

[11]  Andreas Huth,et al.  Statistical inference for stochastic simulation models--theory and application. , 2011, Ecology letters.

[12]  K. Duraisamy,et al.  Using field inversion to quantify functional errors in turbulence closures , 2016 .

[13]  Dongxiao Zhang,et al.  A sparse grid based Bayesian method for contaminant source identification , 2012 .

[14]  J. Vrugt,et al.  Toward diagnostic model calibration and evaluation: Approximate Bayesian computation , 2013 .

[15]  Mingjing Tong,et al.  An OSSE Framework Based on the Ensemble Square Root Kalman Filter for Evaluating the Impact of Data from Radar Networks on Thunderstorm Analysis and Forecasting , 2006 .

[16]  P. Bournot,et al.  Numerical study of momentum and heat transfer in a pulsed plane laminar jet , 2003 .

[17]  Numerical study of free pulsed jet flow with variable density , 2008 .

[18]  David J. Wagg,et al.  Model selection and parameter estimation in structural dynamics using approximate Bayesian computation , 2018 .

[19]  D. Balding,et al.  Approximate Bayesian computation in population genetics. , 2002, Genetics.

[20]  D. W. Scott.  On optimal and data based histograms , 1979 .

[21]  M. Beaumont.  Approximate Bayesian Computation in Evolution and Ecology , 2010 .

[22]  A. Patera,et al.  ICASE Report No . 93-50 191510 IC S 2 O Years ofExcellence SURROGATES FOR NUMERICAL SIMULATIONS ; OPTIMIZATION OF EDDY-PROMOTER HEAT EXCHANGERS , 1993 .

[23]  O. François,et al.  Approximate Bayesian Computation (ABC) in practice. , 2010, Trends in ecology & evolution.

[24]  Guillermo Rein,et al.  Forecasting fire dynamics using inverse computational fluid dynamics and tangent linearisation , 2012, Adv. Eng. Softw..

[25]  Robert B. Farrington,et al.  Infrared imaging of large-amplitude, low-frequency disturbances on a planar jet , 1994 .

[26]  E. Somersalo,et al.  Statistical inverse problems: discretization, model reduction and inverse crimes , 2007 .

[27]  John N. Shadid,et al.  Computational Analysis and Optimization of a Chemical Vapor Deposition Reactor with Large-Scale Computing , 2004 .

[28]  Paul Marjoram,et al.  Markov chain Monte Carlo without likelihoods , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[29]  Rob Deardon,et al.  Using Individual-Level Models for Infectious Disease Spread to Model Spatio-Temporal Combustion Dynamics , 2012 .

[30]  Donald D. Lucas,et al.  Impact of meteorological inflow uncertainty on tracer transport and source estimation in urban atmospheres , 2016 .

[31]  David Welch,et al.  Approximate Bayesian computation scheme for parameter inference and model selection in dynamical systems , 2009, Journal of The Royal Society Interface.

[32]  Jean-Michel Marin,et al.  Approximate Bayesian computational methods , 2011, Statistics and Computing.

[33]  D. Rubin.  Bayesianly Justifiable and Relevant Frequency Calculations for the Applied Statistician , 1984 .

[34]  Sai Hung Cheung,et al.  Bayesian uncertainty analysis with applications to turbulence modeling , 2011, Reliab. Eng. Syst. Saf..

[35]  A. Yoshizawa.  Statistical theory for compressible turbulent shear flows, with the application to subgrid modeling , 1986 .

[36]  Jasper A. Vrugt,et al.  Bridging the gap between GLUE and formal statistical approaches: approximate Bayesian computation , 2013 .

[37]  S. Crow,et al.  Orderly structure in jet turbulence , 1971, Journal of Fluid Mechanics.

[38]  Paola Cinnella,et al.  Bayesian Predictions of Reynolds-Averaged Navier-Stokes Uncertainties Using Maximum a Posteriori Estimates , 2018 .

[39]  Shengwei Wang,et al.  Parameter estimation of internal thermal mass of building dynamic models using genetic algorithm , 2006 .

[40]  Hiroshi Kato,et al.  A data assimilation methodology for reconstructing turbulent flows around aircraft , 2015, J. Comput. Phys..

[41]  Clifford H. Dey,et al.  Observing-Systems Simulation Experiments: Past, Present, and Future , 1986 .

[42]  Habib N. Najm,et al.  Probabilistic inference of reaction rate parameters from summary statistics , 2018, Combustion Theory and Modelling.

[43]  Jukka Corander,et al.  Approximate Bayesian Computation , 2013, PLoS Comput. Biol..

[44]  Ad Stoffelen,et al.  ADM‐Aeolus Doppler wind lidar Observing System Simulation Experiment , 2006 .

[45]  Y. Wang,et al.  Data-assimilated computational fluid dynamics modeling of convection-diffusion-reaction problems , 2017, J. Comput. Sci..

[46]  Timothy G. Trucano,et al.  Verification and Validation in Computational Fluid Dynamics , 2002 .

[47]  S. Turns,et al.  Experiments on axisymmetrically pulsed turbulent jet flames , 1990 .

[48]  Mary F. Wheeler,et al.  Efficient Bayesian inference of subsurface flow models using nested sampling and sparse polynomial chaos surrogates , 2014 .

[49]  B. Cetegen,et al.  Experiments on stability and oscillatory behavior of planar buoyant plumes , 1998 .

[50]  Yi Wang,et al.  Large eddy simulation of fire plumes , 2011 .

[51]  L. Excoffier,et al.  Statistical evaluation of alternative models of human evolution , 2007, Proceedings of the National Academy of Sciences.

[52]  Sebastian Mosbach,et al.  Iterative improvement of Bayesian parameter estimates for an engine model by means of experimental design , 2012 .

[53]  W. Sutherland,et al.  LXXV. A dynamical theory of diffusion for non-electrolytes and the molecular mass of albumin , 1905 .

[54]  Christopher K. Wikle,et al.  A Bayesian Adaptive Ensemble Kalman Filter for Sequential State and Parameter Estimation , 2016, 1611.03835.

[55]  W. Kleiber,et al.  Approximate Bayesian computation methods for daily spatiotemporal precipitation occurrence simulation , 2017 .