ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
Prev
Next
|
|
|
A three-dimensional Eulerian method for the numerical simulation of high-velocity impact problems |
Wu Shi-Yu (吴士玉)a, Liu Kai-Xin (刘凯欣)a b, Chen Qian-Yi (陈千一)a |
a LTCS and Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, China;
b Center for Applied Physics and Technology, Peking University, Beijing 100871, China |
|
|
Abstract In the present paper, a three-dimensional (3D) Eulerian technique for the 3D numerical simulation of high-velocity impact problems is proposed. In the Eulerian framework, a complete 3D conservation element and solution element scheme for conservative hyperbolic governing equations with source terms is given. A modified ghost fluid method is proposed for the treatment of the boundary conditions. Numerical simulations of the Taylor bar problem and the ricochet phenomenon of a sphere impacting a plate target at an angle of 60° are carried out. The numerical results are in good agreement with the corresponding experimental observations. It is proved that our computational technique is feasible for analyzing 3D high-velocity impact problems.
|
Received: 12 September 2013
Revised: 23 July 2013
Accepted manuscript online:
|
PACS:
|
46.15.-x
|
(Computational methods in continuum mechanics)
|
|
62.20.mm
|
(Fracture)
|
|
64.30.Ef
|
(Equations of state of pure metals and alloys)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10732010, 10972010, and 11332002). |
Corresponding Authors:
Liu Kai-Xin
E-mail: kliu@pku.edu.cn
|
Cite this article:
Wu Shi-Yu (吴士玉), Liu Kai-Xin (刘凯欣), Chen Qian-Yi (陈千一) A three-dimensional Eulerian method for the numerical simulation of high-velocity impact problems 2014 Chin. Phys. B 23 034601
|
[1] |
Goldsmith W 1999 Int. J. Impact Eng. 22 95
|
[2] |
Anderson C E 1987 Int. J. Impact Eng. 5 33
|
[3] |
Ma S, Zhang X, Lian Y P and Zhou X 2009 Cmes. Comp. Model. Eng. 39 101
|
[4] |
Udaykumar H S, Tran L, Belk D M and Vanden K J 2003 J. Comput. Phys. 186 136
|
[5] |
Tran L B and Udaykumar H S 2004 J. Comput. Phys. 193 469
|
[6] |
Enright D, Fedkiw R, Ferziger J and Mitchell I 2002 J. Comput. Phys. 183 83
|
[7] |
Kapahi A, Sambasivan S and Udaykumar H S 2013 J. Comput. Phys. 241 308
|
[8] |
Sambasivan S, Kapahi A and Udaykumar H S 2013 J. Comput. Phys. 235 334
|
[9] |
Barton P T, Deiterding R, Meiron D and Pullin D 2013 J. Comput. Phys. 240 76
|
[10] |
Wang J T, Liu K X and Zhang D L 2009 Comput. Fluids 38 544
|
[11] |
Chang S C 1995 J. Comput. Phys. 119 295
|
[12] |
Chang S C, Wang X Y and Chow C Y 1999 J. Comput. Phys. 156 89
|
[13] |
Chen Q Y, Wang J T and Liu K X 2010 J. Comput. Phys. 229 7503
|
[14] |
Chen Q Y and Liu K X 2011 Chin. Phys. Lett. 28 064602
|
[15] |
Fedkiw R P, Aslam T, Merriman B and Osher S 1999 J. Comput. Phys. 152 457
|
[16] |
Sambasivan S and Udaykumar H S 2009 AIAA 47 2907
|
[17] |
Sambasivan S and Udaykumar H S 2009 AIAA 47 2923
|
[18] |
Liu T G, Khoo B C and Yeo K S 2003 J. Comput. Phys. 190 651
|
[19] |
Barton P T and Drikakis D 2010 J. Comput. Phys. 229 5518
|
[20] |
Chen Q Y and Liu K X 2012 Comput. Fluids 56 92
|
[21] |
Backman M E and Finnegan S A 1976 Naval Weapons Center
|
[22] |
Johnson G R and Cook W H 1983 7th Int. Symp. on Ballistics (Hague, Netherlands)
|
[23] |
Shen H, Liu K X and Zhang D L 2011 Chin. Phys. Lett. 28 124705
|
[24] |
Osher S and Fedkiw R P 2001 J. Comput. Phys. 169 463
|
[25] |
Paik S H, Moon J, Kim S J and Lee M 2006 Computers & Structures 84 732
|
[26] |
Hu W, Yao L G and Hua Z Z 2007 Engineering Analysis with Boundary Elements 31 326
|
[27] |
Yue C X, Liu X L, Jia D K, Ji S Y and Zhai Y S 2009 Advanced Materials Research 69–70 11
|
[28] |
Lesuer D R 2000 FAA report DOT/FAA/AR-00/25
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|