Application of the Level Set Method for Propagation of Small Curvature Bending Detonation Wave

Abstract:

Article Preview

Based on the detonation shock dynamics (DSD) theory, Level Set method for propagation of detonation wave was researched. In order to compute the propagation of small curvature bending detonation wave accurately, and according to characteristic of the Hamilton-Jacobi equation, the unstructured quadrilateral and Galerkin finite element difference scheme for solving Level Set function equation was studied.The finite-element code LS-DYNA was used to compute the experimental models about the propagation of detonation wave and the motion of flyers driven by explosive. The computation results are in good agreement with the experimental data. The results indicate that the difference scheme is of high accuracy and universal application.

Info:

Periodical:

Edited by:

Zhengyi Jiang, Yugui Li, Xiaoping Zhang, Jianmei Wang and Wenquan Sun

Pages:

3049-3053

Citation:

L. Zhang and K. T. Wu, "Application of the Level Set Method for Propagation of Small Curvature Bending Detonation Wave", Applied Mechanics and Materials, Vols. 220-223, pp. 3049-3053, 2012

Online since:

November 2012

Authors:

Export:

Price:

$38.00

[1] D S Stewart, J B Bdzil. The shock dynamics of stable dimensional detonation(University of Illinois l988).

[2] S Osher. J A Sethian. Journal of Comparative Physiology, Vol. 12-49 (1988), p.79.

[3] J Glimm, J. W. Grove, X. L. Li, K. M. Shyue, et al. SIAM J Sci. Comp, Vol. 703-727 (1998), p.19.

[4] W Mulder, S Osher, J. A. Sethian. J Comp. Phys, Vol. 209-228(1992), p.100.

[5] R P Fedkiw, et al. J Comp. Phys., Vol. 457-492(1999), p.152.

[6] C W Hirt., B D Nichols. J. Comp. Phys., Vol. 201-225(1981), p.39.

[7] R Saurel, R Abgrall. SIAM J Sci Comp., Vol. 1115-1145(1999), p.21.

[8] K M Shyue. J Comp. Phys, Vol. 678-707(2001), p.171.

[9] Hu X Y, Khoo B C, Adams N. A., et al. J. Comput. Phys, Vol. 553-578(2006), p.219.

[10] Yang Jiang, Zhing Min, Sun Cheng-wei, Li Ping, Bai Jin-song. Introducing Journal of China Ordnance, Vol. 896-901(2010), p.31. (In Chinses).

[11] Cheng Jun-xia. Chinese Journal of computational physics, Vol. 199-206(2011), p.28. (In Chinses).

[12] J A Sethian,A Vladimirsky.SIAM J Numer Anal, Vol. 325-363(2003), p.41.

[13] Folkmar Bornemann, Christian Rasch. Comput Visual Sci, Vol. 57-69(2006), p.9.

[14] J A Sethian: Level Set Methods and Fast Marching Methods(Cambridge University Publications 1999).

[15] Li Qing-zhong, Zhao Tong-hu, Gao Wen, et al. Explosion and Shock Wave, Vol. 169-172 (1999), p.19. (In Chinses).