Optimal Mesh Size in Three-Dimensional Arbitrary Lagrangian-Eulerian Method of Free-air Explosions

Yena Lee; Tae Hee Lee; Dawon Park; Youngjun Choi; Jung-Wuk Hong

doi:10.7734/COSEIK.2023.36.6.355

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2023 Vol.36, Issue 6 Next Page

Research Paper

Optimal Mesh Size in Three-Dimensional Arbitrary Lagrangian-Eulerian Method of Free-air Explosions 3차원 Arbitrary Lagrangian-Eulerian 기법을 사용한 자유 대기 중 폭발 해석의 최적 격자망 크기 산정

31 December 2023. pp. 355-364

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Abstract

The arbitrary Lagrangian-Eulerian (ALE) method has been extensively researched owing to its capability to accurately predict the propagation of blast shock waves. Although the use of the ALE method for dynamic analysis can produce unreliable results depending on the mesh size of the finite element, few studies have explored the relationship between the mesh size for the air domain and the accuracy of numerical analysis. In this study, we propose a procedure to calculate the optimal mesh size based on the mean squared error between the maximum blast pressure values obtained from numerical simulations and experiments. Furthermore, we analyze the relationship between the weight of explosive material (TNT) and the optimal mesh size of the air domain. The findings from this study can contribute to estimating the optimal mesh size in blast simulations with various explosion weights and promote the development of advanced blast numerical analysis models.

Keywords

three-dimensional ALE

numerical analysis

free-air blast

incident pressure

폭발 수치해석 기법 중 Arbitrary Lagrangian-Eulerian(ALE)는 구조물의 파괴뿐만 아니라 폭발 이후 충격파의 전파 과정까지 관찰할 수 있는 장점이 있다. 그러나 동적 해석 시 유한요소 모델의 격자망 크기가 일정 수준 이하로 감소하게 되면 해석 결과의 신뢰도가 부정확해진다. 본 연구에서는 ALE 수치해석 기법을 활용하여 대기의 격자망 크기가 해석의 정확도에 미치는 영향을 조사한다. 다양한 조건의 격자망 크기와 폭발 중량을 갖는 대기 중 폭발모델을 구축하고, 폭발 중심으로부터 거리에 따른 폭발압력을 관찰한다. 수치해석과 실험에서 얻은 최대 폭발압력 결과에 대해 평균 제곱 오차를 계산하여 최적의 격자망 크기를 제안하고, 제안된 크기를 바탕으로 폭발물 중량과 대기의 최적 격자망 크기에 대한 상관관계를 분석한다. 본 연구는 다양한 중량을 가진 폭발물 해석에서 최적의 격자망 크기를 제공함으로써 신뢰성이 향상된 폭발 수치해석 모델 개발에 도움이 될 것으로 기대한다.

키워드

3차원 ALE

폭발 수치해석

자유 대기 폭발

최대 입사압력

References

Børvik, T., Hanssen, A.G., Langseth, M., Olovsson, L. (2009) Response of Structures to Planar Blast Loads-A Finite Element Engineering Approach, Comput. & Struct., 87(9-10), pp.507~ 520. 10.1016/j.compstruc.2009.02.005

Bransford, J.W., Gayle, J.B. (1965) Size and Duration of Fireballs from Propellant Explosions, No.NASA-TM-X-53314, National Space and Aeronautics Administration, USA.

Brode, H.L. (1955) Numerical Solutions of Spherical Blast Waves, J. Appl. Phys., 26(6), pp.766~775. 10.1063/1.1722085

Cheng, D.S., Hung, C.W., Pi, S.J. (2013) Numerical Simulation of Near-Field Explosion, J. Appl. Sci. & Eng., 16(1), pp.61~ 67.

Choi, H., Shin, D.H., Kim, M.S., Kim, D.J., Kim, H., Lee, Y.H. (2013) A Study on the Proposal of Residual Strength Equation of Reinforced Concrete Columns under Blast Load, J. Korean Soc. Hazard Mitig., 13(1), pp.17~24. 10.9798/KOSHAM.2013.13.1.017

Choi, M., Sin, P. (2014) An Analysis on the Main Causes of Explosion in Industrial Settings and a Study on its Prevention, J. Korean Soc. Hazard Mitig., 14(2), pp.209~216. 10.9798/KOSHAM.2014.14.2.209

Cook, R.D. (2007) Concepts and Applications of Finite Element Analysis, John Wiley & Sons.

Dobratz, B.M., Crawford, P.C. (1985) LLNL ExplosivesHandbook: Properties of Chemical Explosives and Explosive Simulants, Report No. UCRL-52997-Chg.2, Lawrence Livermore National Laboratory, USA.

Donea, J., Huerta, A., Ponthot, J.P., Rodríguez‐Ferran, A. (2004) Arbitrary L Agrangian-E Ulerian Methods, Encyclopedia of Computational Mechanics.

Filice, A., Mynarz, M., Zinno, R. (2022) Experimental and Empirical Study for Prediction of Blast Loads, Appl. Sci., 12(5), p.2691. 10.3390/app12052691

Gang, H.G., Jeong, Y.U., Hong, J.U. (2012) Overview of Blast Load Analysis, Comput. Struct. Eng., 25(4), pp.57~62.

Gröger, B., Wang, J., Bätzel, T., Hornig, A., Gude, M. (2022) Modelling and Simulation Strategies for Fluid-Structure- Interactions of Highly Viscous Thermoplastic Melt and Single Fibres-A Numerical Study, Mater., 15(20), p.7241. 10.3390/ma1520724136295308PMC9609902

Henrych, J., Abrahamson, G.R. (1980) The Dynamics of Explosion and Its Use, J. Appl. Mech., 47(1), p.218. 10.1115/1.3153619

Jang, I.H. (2007) Sloshing Response Analysis of LNG Carrier Tank Using Fluid Structure Interaction Analysis Technique of LS-DYNA 3D, Doctoral Dissertation, Korea Maritime and Ocean University.

Jung, J.W., Hong, J.W. (2021) Blast Response Simulation of the Alfred Murrah Building Reinforced by Use of HPFRCC, Int. J. Concr. Struct. & Mater., 15(1), pp.1~16. 10.1186/s40069-020-00442-9

Kim, J.H. (2007) Shock Response Analysis under Underwater Explosion for Underwater Ship using ALE Technique, J. Korean Soc. Mar. Environ. & Energy,10(4), pp.218~226.

Kingery, C.N., Bulmash, G. (1984) Airblast Parameters from TNT Spherical Air Burst and Hemispherical Surface Burst, US Army Armament and Development Center, Ballistic Research Laboratory.

Kinney, G.F., Graham, K.J. (2013) Explosive Shocks in Air, Springer Science & Business Media. p.269.

Kwasniewski, L., Balcerzak, M., Wojciechowski, J. (2010) A Feasibility Study on Modeling Blast Loading using ALE Formulation, In Cost Action C, 26, pp.127~132.

Larcher, M. (2007) Simulation of the Effects of an Air Blast Wave, Luxemburg Office of Official Publications of the European Communities.

LSTC, L.D. (2013) Keyword User's Manual Volume II-Material Models, Livermore Software, 887.

Nassiri, A., Chini, G., Vivek, A., Daehn, G., Kinsey, B. (2015) Arbitrary Lagrangian-Eulerian Finite Element Simulation and Experimental Investigation of Wavy Interfacial Morphology during High Velocity Impact Welding, Mater. & Des., 88, pp.345~358. 10.1016/j.matdes.2015.09.005

Nassiri, A., Kinsey, B. (2016) Numerical Studies on High-Velocity Impact Welding: Smoothed Particle Hydrodynamics(SPH) and Arbitrary Lagrangian-Eulerian (ALE), J. Manuf. Processes, 24, pp.376~381. 10.1016/j.jmapro.2016.06.017

Mills, C.A. (1988) The Design of Concrete Structures to Resist Explosions and Weapon Effects, FIP Notes, 2, pp.11~15.

Shin, H.S., Kim, S.W., Moon, J.H. (2022) Applicability Analysis of the FE Analysis Method Based on the Empirical Equation for Near-field Explosions, J. Comput, Struct, Eng. Inst. Korea, 35(6), pp.333~342. 10.7734/COSEIK.2022.35.6.333

Shin, J., Kim, J. (2016) Effects of Near-Field Explosion of High Explosives on Blast Overpressures and Impulses, J. Korean Soc. Hazard Mitig., 16(6), pp.21~28. 10.9798/KOSHAM.2016.16.6.21

Sonntag, R.E., Borgnakke, C., Van Wylen, G.J., Van Wyk, S. (2003) Fundamentals of Thermodynamics, 6^thed., New York: Wiley.

US Department of Defense (2008) Structures to Resist the Effects of Accidental Explosions, UFC 3-340-02.

Wang, S., Islam, H., Soares, C.G. (2021) Uncertainty due to Discretization on the ALE Algorithm for Predicting Water Slamming Loads, Mar. Struct., 80, p.103086. 10.1016/j.marstruc.2021.103086

Wu, J., Liu, Z., Yu, J., Xu, S. (2022) Experimental and Numerical Investigation of Normal Reinforced Concrete Panel Strengthened with Polyurea under Near-Field Explosion, J. Build. Eng., 46, p.103763. 10.1016/j.jobe.2021.103763

Xu, Q.P., Su, J.J., Li, Z.R., Liu, Y., Jiang, H.Y., Huang, F.L. (2020) Air Blast Pressure Characteristics of Moving Charge, J. Phys.: Conf. Ser., 1507(3), p.032052. IOP Publishing. 10.1088/1742-6596/1507/3/032052

Information

Publisher :Computational Structural Engineering Institute of Korea
Publisher(Ko) :한국전산구조공학회
Journal Title :Journal of the Computational Structural Engineering Institute of Korea
Journal Title(Ko) :한국전산구조공학회 논문집
Volume : 36
No :6
Pages :355-364
Received Date : 2023-08-01
Revised Date : 2023-09-21
Accepted Date : 2023-10-05
DOI :https://doi.org/10.7734/COSEIK.2023.36.6.355

Journal of the Computational Structural Engineering Institute of Korea ISSN:1229-3059(Print) 2287-2302(Online) 한국전산구조공학회 논문집

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