Journal of computational fluids engineering (한국전산유체공학회지)

Korean Society of Computational Fluids Engineering (한국전산유체공학회)
권호 표지

NUMERICAL ANALYSIS ON A SPHERICALLY SYMMETRIC UNDERWATER EXPLOSION USING THE ALE GODUNOV SCHEME FOR TWO-PHASE FLOW

이상유동에 대한 ALE Godunov법을 이용한 구대칭 수중폭발 해석

  • 신상묵 (부경대학교 조선해양시스템공학과) ;
  • 김인철 (부경대학교 조선해양시스템공학과) ;
  • 김용직 (부경대학교 조선해양시스템공학과)
  • Published : 2006.03.01
Download PDF
⟨ Previous Next ⟩

Abstract

A code is developed to analyze a spherically symmetric underwater explosion. The arbitrary Lagrangian-Eulerian(ALE) Godunov scheme for two-phase flow is used to calculate numerical fluxes through moving control surfaces. For detonation gas of TNT and liquid water, the Jones-Wilkins-Lee(JWL) equation of states and the isentropic Tait relation are used respectively. It is suggested to use the Godunov variable to estimate the velocity of a material interface. The code is validated through comparisons with other results on the gas-water shock tube problem. It is shown that the code can handle generation of discontinuity and recovering of continuity in the normal velocity near the material interface during shock waves interact with the material interface. The developed code is applied to analyze a spherically symmetric underwater explosion. Repeated transmissions of shock waves are clearly captured. The calculated period and maximum radius of detonation gas bubble show good agreements with experimental and other numerical results.

Keywords

References

  1. Smith, R., 1999, 'AUSM(ALE): A Geometrically Conservative Arbitrary Lagrangian-Eulerian Flux Splitting Scheme,' J. Comput. Phys., VoI.150, p.268-286 https://doi.org/10.1006/jcph.1998.6180
  2. Luo, H., Baum J.D. and Lohner, R., 2004, 'On the computation of multi-material flows using ALE formulation,' J. Comput. Phys., Vol.194, p.304-328 https://doi.org/10.1016/j.jcp.2003.09.026
  3. 신상묵, 김인철, 김용직, 2005, 'ALE Godunov법을 이용한 1차원 압축성 이상유동 해석', 대한조선학회논문집, 제42권 4호, p.330-340 https://doi.org/10.3744/SNAK.2005.42.4.330
  4. Shyue, K.M., 1998, 'An efficient shock capturing algorithm for compressible multicomponent problems,' J. Comput. Phys., VoI.142, p.208-242 https://doi.org/10.1006/jcph.1998.5930
  5. Lesoinne, M. and Farhat, C., 1996, 'Geometric conservation laws for flow problems with moving boundaries and defonnable meshes and their impact on aeroelastic computations,' Comput. Methods Appl. Mech. Engrg., Vol.134, p.71-90 https://doi.org/10.1016/0045-7825(96)01028-6
  6. Swift, E. and Decius, J., 1946, 'Measurement of Bubble Pulse Phenomena,' Navord Report
  7. Wardlaw, A.B. and Mair, H., 1998, 'Spherical solution of an underwater explosion bubble,' Shock and Vibration, Vol.5, p.89-102 https://doi.org/10.1155/1998/690105