Meta-modelling for fast analysis of CFD-simulated vapour cloud dispersion processes

Abstract Released flammable chemicals can form an explosible vapour cloud, posing safety threat in both industrial and civilian environments. Due to the difficulty in conducting physical experiments, computational fluid dynamic (CFD) simulation is an important tool in this area. However, such simulation is computationally too slow for routine analysis. To address this issue, a meta-modelling approach is developed in this study; it uses a small number of simulations to build an empirical model, which can be used to predict the concentration field and the potential explosion region. The dimension of the concentration field is reduced from around 43,421,400 to 20 to allow meta-modelling, by using the segmented principal component transform-principal component analysis. Moreover, meta-modelling-based uncertainty analysis is explored to quantify the prediction variance, which is important for risk assessment. The effectiveness of the methodology has been demonstrated on CFD simulation of the dispersion of liquefied natural gas.

[1]  Edward Bullister,et al.  Application of CFD (Fluent) to LNG spills into geometrically complex environments. , 2008, Journal of hazardous materials.

[2]  Sonja Kuhnt,et al.  Design and analysis of computer experiments , 2010 .

[3]  H.W.M. Witlox,et al.  Interfacing dispersion models in the HGSYSTEM hazard-assessment package , 1994 .

[4]  Douglas C. Montgomery,et al.  Response Surface Methodology: Process and Product Optimization Using Designed Experiments , 1995 .

[5]  Guoyi Chi,et al.  Multivariate Calibration of Near Infrared Spectroscopy in the Presence of Light Scattering Effect: A Comparative Study , 2011 .

[6]  Tao Chen,et al.  Efficient meta-modelling of complex process simulations with time-space-dependent outputs , 2011, Comput. Chem. Eng..

[7]  Ermak User's manual for SLAB: An atmospheric dispersion model for denser-than-air-releases , 1990 .

[8]  T. O. Spicer,et al.  DEGADIS (dense gas dispersion) model, Version 2. 1. User's guide , 1989 .

[9]  Yong Zhang,et al.  Uniform Design: Theory and Application , 2000, Technometrics.

[10]  Randhir Rawatlal,et al.  Response surface strategies in constructing statistical bubble flow models for the development of a novel bubble column simulation approach , 2012, Comput. Chem. Eng..

[11]  Douglas N. Rutledge,et al.  Segmented principal component transform–principal component analysis , 2005 .

[12]  Wenjin Yan,et al.  Development of high performance catalysts for CO oxidation using data-based modeling , 2011 .

[13]  Roderick Murray-Smith,et al.  Hierarchical Gaussian process mixtures for regression , 2005, Stat. Comput..

[14]  Thomas J. Santner,et al.  The Design and Analysis of Computer Experiments , 2003, Springer Series in Statistics.

[15]  Heng Tao Shen,et al.  Principal Component Analysis , 2009, Encyclopedia of Biometrics.

[16]  Omar H. Shemdin,et al.  WIND-GENERATED CURRENT AND PHASE SPEED OF WIND WAVES , 1972 .

[17]  Rémi Bardenet,et al.  Monte Carlo Methods , 2013, Encyclopedia of Social Network Analysis and Mining. 2nd Ed..

[18]  D. M. Titterington,et al.  Bayesian regression and classification using mixtures of Gaussian processes , 2003 .

[19]  Zheng O'Neill,et al.  A methodology for meta-model based optimization in building energy models , 2012 .

[20]  Matthew J. Realff,et al.  Metamodeling Approach to Optimization of Steady-State Flowsheet Simulations: Model Generation , 2002 .

[21]  Urmila M. Diwekar,et al.  An efficient sampling technique for off-line quality control , 1997 .

[22]  A. OHagan,et al.  Bayesian analysis of computer code outputs: A tutorial , 2006, Reliab. Eng. Syst. Saf..

[23]  C. Rasmussen,et al.  Gaussian Process Priors with Uncertain Inputs - Application to Multiple-Step Ahead Time Series Forecasting , 2002, NIPS.

[24]  Eric E. Smith,et al.  Uncertainty analysis , 2001 .

[25]  Anna Qiao,et al.  Advanced CFD modeling on vapor dispersion and vapor cloud explosion , 2010 .

[26]  Martin Guha,et al.  Encyclopedia of Statistics in Behavioral Science , 2006 .

[27]  B. Kowalski,et al.  Partial least-squares regression: a tutorial , 1986 .

[28]  Wei Shyy,et al.  Hydraulic Turbine Diffuser Shape Optimization by Multiple Surrogate Model Approximations of Pareto Fronts , 2007 .

[29]  Y. Ronen Uncertainty Analysis , 1988 .

[30]  S. M. Tauseef,et al.  CFD-based simulation of dense gas dispersion in presence of obstacles , 2011 .

[31]  Russell R. Barton,et al.  A review on design, modeling and applications of computer experiments , 2006 .

[32]  Prankul Middha,et al.  Validation of CFD-model for hydrogen dispersion , 2009 .

[33]  Massimiliano Manfren,et al.  Calibration and uncertainty analysis for computer models – A meta-model based approach for integrated building energy simulation , 2013 .

[34]  Carl E. Rasmussen,et al.  Gaussian processes for machine learning , 2005, Adaptive computation and machine learning.

[35]  Mathieu Ichard,et al.  CFD model simulation of dispersion from chlorine railcar releases in industrial and urban areas , 2009 .

[36]  Mathieu Ichard,et al.  Validation of FLACS against experimental data sets from the model evaluation database for LNG vapor dispersion , 2010 .

[37]  A. O'Hagan,et al.  Bayesian inference for the uncertainty distribution of computer model outputs , 2002 .

[38]  Rod Barratt,et al.  Atmospheric Dispersion Modelling: An Introduction to Practical Applications , 2001 .