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An Evaluation Method for Tornado Missile Strike Probability with Stochastic Correlation

  • Eguchi, Yuzuru (Nuclear Risk Research Center (External Natural Event Research Team), Central Research Institute of Electric Power Industry) ;
  • Murakami, Takahiro (Nuclear Risk Research Center (External Natural Event Research Team), Central Research Institute of Electric Power Industry) ;
  • Hirakuchi, Hiromaru (Nuclear Risk Research Center (External Natural Event Research Team), Central Research Institute of Electric Power Industry) ;
  • Sugimoto, Soichiro (Nuclear Risk Research Center (External Natural Event Research Team), Central Research Institute of Electric Power Industry) ;
  • Hattori, Yasuo (Nuclear Risk Research Center (External Natural Event Research Team), Central Research Institute of Electric Power Industry)
  • Received : 2016.12.05
  • Accepted : 2016.12.11
  • Published : 2017.04.25

Abstract

An efficient evaluation method for the probability of a tornado missile strike without using the Monte Carlo method is proposed in this paper. A major part of the proposed probability evaluation is based on numerical results computed using an in-house code, Tornado-borne missile analysis code, which enables us to evaluate the liftoff and flight behaviors of unconstrained objects on the ground driven by a tornado. Using the Tornado-borne missile analysis code, we can obtain a stochastic correlation between local wind speed and flight distance of each object, and this stochastic correlation is used to evaluate the conditional strike probability, $Q_V(r)$, of a missile located at position r, where the local wind speed is V. In contrast, the annual exceedance probability of local wind speed, which can be computed using a tornado hazard analysis code, is used to derive the probability density function, p(V). Then, we finally obtain the annual probability of tornado missile strike on a structure with the convolutional integration of product of $Q_V(r)$ and p(V) over V. The evaluation method is applied to a simple problem to qualitatively confirm the validity, and to quantitatively verify the results for two extreme cases in which an object is located just in the vicinity of or far away from the structure.

Keywords

References

  1. L.A. Twisdale, W.L. Dunn, T.L. Davis, Tornado missile transport analysis, Nucl. Eng. Des. 51 (1979) 295-308. https://doi.org/10.1016/0029-5493(79)90096-7
  2. EPRI, Tornado Missile Simulation and Design Methodology, Volume 1: Simulation Methodology, Design Applications, and TORMIS Computer Code, NP-2005-V1, 1981.
  3. EPRI, Tornado Missile Simulation and Design Methodology, Volume 2: Model Verification and Database Updates, NP-2005-V2, 1981.
  4. K.D. Hope, N. Povroznyk, R. Schneider, Tornado Missile Strike Calculator: an Excel-based stochastic model of tornado-driven missile behavior for use in high winds PRA, International Topical Meeting on Probabilistic Safety Assessment and Analysis (PSA 2015), Sun Valley, Idaho, USA, 2015, p. 12086.
  5. Y. Eguchi, S. Sugimoto, Y. Hattori, H. Hirakuchi, Development of TONBOS for simulation of liftoff and flight of objects driven by a tornado, Central Research Institute of Electric Power Industry, Civil Engineering Research Laboratory Report, No. N14002, 2014 (in Japanese).
  6. Y. Eguchi, S. Sugimoto, Y. Hattori, H. Hirakuchi, A rational method to evaluate tornado-borne missile speed in nuclear power plants (validation of a numerical code based on Fujita's tornado model), Trans. JSME 81 (2015) 823 (in Japanese).
  7. Y. Eguchi, T. Murakami, M. Kuramasu, H. Hirakuchi, S. Sugimoto, Y. Hattori, Annual probability of tornado missile strike on structure using Fujita model, 2016 Spring Meeting of the Atomic Energy Society of Japan, 2016, p. 2P10 (in Japanese).
  8. H. Hirakuchi, D. Nohara, S. Sugimoto, Y. Eguchi, Tornado wind hazard evaluation method for nuclear power plants, Proc. Annual Meeting 2015, Japan Association for Wind Engineering, 2015, pp. 133-134 (in Japanese).
  9. T.T. Fujita, Workbook of Tornadoes and High Winds for Engineering Applications, University of Chicago, 1978.
  10. E. Simiu, M. Cordes, Tornado-Borne Missile Speeds, NBSIR 76-1050, 1976.
  11. E. Simiu, R.H. Scanlan, Wind Effects on Structures: Fundamentals and Applications to Design, third ed., John Wiley & Sons, Hoboken, NJ, 1996.
  12. EPRI, Wind Field and Trajectory Models for Tornado Propelled Objects, NP-748, 1978.
  13. K. Hayashi, K. Ooi, M. Maeda, R. Saitou, Fluid forces acting on a cube and a strip roughness submerged in open channel flow, J. Jpn. Soc. Civil Eng. B1 (Hydraul. Eng.) 67 (2011) I_1141-I_1146 (in Japanese).
  14. H. Matsumiya, K. Nakaoka, T. Nishihara, K. Kimura, Wind tunnel test for the ground effect of aerodynamic force on a photovoltaic panel, J. Struct. Eng. A 60 (2014) 446-454 (in Japanese).
  15. K. Yamamoto, K. Hayasi, M. Senkine, K. Fujita, M. Tamura, S. Nisimura, K. Hamaguchi, Measuring method of drag coefficient, lift coefficient and equivalent roughness of revetment block, Annu. J. Hydraul. Eng. 44 (2000) 1053-1058 (in Japanese). https://doi.org/10.2208/prohe.44.1053
  16. T. Schmidlin, B. Hammer, P. King, Y. Ono, L.S. Miller, G. Thumann, Unsafe at any (wind) speed? Testing the stability of motor vehicles in severe winds, Bull. Am. Meteorol. Soc. 83 (2002) 1821-1830. https://doi.org/10.1175/BAMS-83-12-1821
  17. M.R. Ahmed, S.D. Sharma, An investigation on the aerodynamics of a symmetrical airfoil in ground effect, Exp. Thermal Fluid Sci. 29 (2005) 633-647. https://doi.org/10.1016/j.expthermflusci.2004.09.001
  18. Y. Eguchi, S. Sugimoto, H. Hattori, H. Hirakuchi, Tornado pressure retrieval from Fujita's engineering model DBT-77, Proceedings of the 6th Int. Conf. on Vortex Flows and Vortex Models, 2014, Nagoya, Japan.