Skip to main content
Log in

Fuzzy interface treatment in Eulerian method

  • Published:
Science in China Series E: Technological Sciences Aims and scope Submit manuscript

Abstract

In this paper, we incorporate fuzzy mathematics approach into the Eulerian method to simulate three dimensional multi-material interfaces. In particular, we propose a fuzzy interface treatment for describing interfaces, designing transport plans, and computing transport quantities. Using a set of three-dimensional inviscid isothermal elastic-plastic hydrodynamic equations, we simulate shaped charge jet in different filled dynamite structures. Strain and stress have been under consideration in simulations. Numerical results demonstrate that the fuzzy interface treatment is correct and efficient for three-dimensional multi-material problems.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Youngs, D. L., Time-Dependent Multi-Material Flow with Large Fluid Distortion Numerical Methods for Fluid Dynamics (eds. Morton, K. W., Baines, M. J.), New York: Academic Press, 1982.

    Google Scholar 

  2. Liu Ruxun, Wang Zhifeng, Numerical Simulation Method and Tracking of Moving Interface, Hefei: University of Science and Technology Press, 2001, 1.

    Google Scholar 

  3. Li Deyuan, Xu Guorong, Numerical Methods for Unsteady Hydrodynamic in Two Dimensions, Beijing: Science Press, 1998, 9: 1–11.

    Google Scholar 

  4. Wu Kaiteng, Studies on three-dimension at numerical calculations of hydrodynamics in shocks, Ph. D thesis, Beijing Institute of Technology, 2002.

  5. von Neumann, J., Richtmyer, R. D., A method for the numerical calculations of hydrodynamics in shocks, J. Appl. Phys., 1950, 21: 232.

    Article  MATH  MathSciNet  Google Scholar 

  6. Courant, R., Friedrichs, K. O., Lewy, H., Uber die Partiellen Differenzengleichungen der Mathematischen Physik, Math. Ann., 1928, 100: 32.

    Article  MATH  MathSciNet  Google Scholar 

  7. Xu Shiliang, Package of widely-used algorithms in Fortran, Beijing: Tsinghua University Press, 1995, 12: 148–149.

    Google Scholar 

  8. Wen Wanzhi, Marker on Cell Line (MOCL) with Applications in Numerical Simulations, Doctoral dissertation, Beijing Institute of Technology, 1998.

  9. Zhang Wenyao, Ning Jianguo, Visualization of explosive field, Journal of Beijing Institute of Technology, 1999, 8(4): 424–429.

    Google Scholar 

  10. Editorial group of “explosion and its effects”, the Eighth Dept. of Beijing Institute of Technology, Explosion and Its Effects, Beijing: National Defence Industry Press, 1979, 240–241.

  11. Sui Shuyuan, Wang Shushang, Terminal Effects, Beijing: National Defence Industry Press, 2000, 196–278.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ning Jianguo.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ning, J., Chen, L. Fuzzy interface treatment in Eulerian method. Sci. China Ser. E-Technol. Sci. 47, 550–568 (2004). https://doi.org/10.1360/03ye0451

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1360/03ye0451

Keywords

Navigation