Title : AN INTEGRATED METHODOLOGY FOR ASSESSING FIRE SIMULATION CODE UNCERTAINTY

Abstract Fire simulation codes are powerful tools for use in risk-informed and performance-based approaches for risk assessment. Following initial work performed in a joint effort between the U.S. Nuclear Regulatory Commission and the Electric Power Research Institute of a verification and validation of five popular fire simulation codes and research performed at the University of Maryland to quantify total code output uncertainty following a “black-box” approach, this research presents a “white-box” methodology with the goal of also accounting for uncertainties within a simulation code prediction. In this paper the white-box probabilistic approach is discussed to assess uncertainties associated with fire simulation codes. Uncertainties associated with the input variables to the codes as well as the uncertainties associated with the submodels and correlations used inside the code are accounted for. To validate code output calculations, experimental tests may also be available to compare against code calculations. These experimental results may also be used in the assessment of the code uncertainties. Building upon earlier research on model uncertainty performed at the University of Maryland, the methodology employed to estimate the uncertainties is based on a Bayesian estimation approach. This Bayesian estimation approach integrates all evidence available to arrive at an estimate of the uncertainties associated with a reality of interest being estimated by the simulation code. Examples of applications with results of the associated uncertainties are discussed in this paper.

[1]  B. Mccaffrey Purely buoyant diffusion flames :: some experimental results , 1979 .

[2]  Baki M. Cetegen,et al.  Entrainment and flame geometry of fire plumes , 1982 .

[3]  L.Pal,et al.  Statistical considerations on safety analysis , 2005 .

[4]  R. Barlow,et al.  Experiments on the scalar structure of turbulent CO/H2/N2 jet flames , 2000 .

[5]  Attila Guba,et al.  Statistical aspects of best estimate method - I , 2003, Reliab. Eng. Syst. Saf..

[6]  S. S. Wilks Determination of Sample Sizes for Setting Tolerance Limits , 1941 .

[7]  I. Catton,et al.  Quantifying reactor safety margins part 1: An overview of the code scaling, applicability, and uncertainty evaluation methodology , 1990 .

[8]  Steven P. Nowlen,et al.  A PHENOMENA IDENTIFICATION AND RANKING TABLE (PIRT) EXERCISE FOR NUCLEAR POWER PLANT FIRE MODEL APPLICATIONS. , 2008 .

[9]  Abraham Wald,et al.  Setting of Tolerance Limits When the Sample is Large , 1942 .

[10]  R. Fisher 001: On an Absolute Criterion for Fitting Frequency Curves. , 1912 .

[11]  R. Grimshaw Journal of Fluid Mechanics , 1956, Nature.

[12]  Enrique Andres Lopez Droguett Methodology for the treatment of model uncertainty , 1999 .

[13]  M. Holdren,et al.  Composition and photochemical reactivity of turbine-engine exhaust. Final report, March 1983-September 1984 , 1985 .

[14]  S. S. Wilks Statistical Prediction with Special Reference to the Problem of Tolerance Limits , 1942 .

[15]  Mohammad Modarres,et al.  A Bayesian Framework for Model Uncertainty Considerations in Fire Simulation Codes , 2009 .

[16]  Gunnar Heskestad,et al.  Luminous heights of turbulent diffusion flames , 1983 .

[17]  J. Wolfowitz,et al.  Tolerance Limits for a Normal Distribution , 1946 .

[18]  Mohammad Pourgol-Mohammad Integrated methodology for thermal-hydraulics uncertainty analysis (IMTHUA) , 2007 .

[19]  Abraham Wald,et al.  An Extension of Wilks' Method for Setting Tolerance Limits , 1943 .

[20]  G. Cox,et al.  Combustion fundamentals of fire , 1995 .

[21]  G. E. Wilson,et al.  The role of the PIRT process in experiments, code development and code applications associated with Reactor Safety analysis , 1998 .

[22]  William D. Davis,et al.  Analysis of High Bay Hangar Facilities for Fire Detector Sensitivity and Placement. , 1997 .

[23]  Mary Kathryn Cowles,et al.  Review of WinBUGS 1.4 , 2004 .

[24]  Mohammad Modarres,et al.  A Novel Bayesian Framework for Uncertainty Management in Physics-Based Reliability Models , 2007 .

[25]  M. S. De Wit,et al.  Uncertainty in predictions of thermal comfort in buildings , 2001 .

[26]  B. Mccaffrey Momentum implications for buoyant diffusion flames , 1983 .

[27]  Calvin Homayoon Shirazi,et al.  Data-informed calibration and aggregation of expert opinion in a Bayesian framework , 2009 .

[28]  Graham B. Wallis Contribution to the paper 'Statistical aspects of best estimate method-1' by Attila Guba, Mihakly Makai, Lenard Pal , 2003, Reliab. Eng. Syst. Saf..

[29]  Gunnar Heskestad,et al.  Peak gas velocities and flame heights of buoyancy-controlled turbulent diffusion flames , 1981 .

[30]  Thomas L. Saaty,et al.  Decision making for leaders , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[31]  E. E. Zukoski,et al.  Properties of fire plumes , 1995 .

[32]  M. Makai,et al.  Remarks on statistical aspects of safety analysis of complex systems , 2003, physics/0308086.