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.
Similar content being viewed by others
References
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.
Liu Ruxun, Wang Zhifeng, Numerical Simulation Method and Tracking of Moving Interface, Hefei: University of Science and Technology Press, 2001, 1.
Li Deyuan, Xu Guorong, Numerical Methods for Unsteady Hydrodynamic in Two Dimensions, Beijing: Science Press, 1998, 9: 1–11.
Wu Kaiteng, Studies on three-dimension at numerical calculations of hydrodynamics in shocks, Ph. D thesis, Beijing Institute of Technology, 2002.
von Neumann, J., Richtmyer, R. D., A method for the numerical calculations of hydrodynamics in shocks, J. Appl. Phys., 1950, 21: 232.
Courant, R., Friedrichs, K. O., Lewy, H., Uber die Partiellen Differenzengleichungen der Mathematischen Physik, Math. Ann., 1928, 100: 32.
Xu Shiliang, Package of widely-used algorithms in Fortran, Beijing: Tsinghua University Press, 1995, 12: 148–149.
Wen Wanzhi, Marker on Cell Line (MOCL) with Applications in Numerical Simulations, Doctoral dissertation, Beijing Institute of Technology, 1998.
Zhang Wenyao, Ning Jianguo, Visualization of explosive field, Journal of Beijing Institute of Technology, 1999, 8(4): 424–429.
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.
Sui Shuyuan, Wang Shushang, Terminal Effects, Beijing: National Defence Industry Press, 2000, 196–278.
Author information
Authors and Affiliations
Corresponding author
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1360/03ye0451