碎片云问题的三维欧拉数值模拟

王言金; 刘军; 冯其京; 王政; 郝鹏程

doi:10.11858/gywlxb.2014.03.006

碎片云问题的三维欧拉数值模拟

doi: 10.11858/gywlxb.2014.03.006

王言金^1,,
刘军¹,
冯其京¹,
王政¹,
郝鹏程^{1, 2}

1.
北京应用物理与计算数学研究所，北京 100094
2.
中国工程物理研究院北京研究生部，北京 100088

基金项目: 国家自然科学基金(11371069)；国防科工局项目(K020110-1/3/6)；中国工程物理研究院科学技术基金(2012B0202029)

详细信息

作者简介:
王言金(1976—), 男, 博士, 副研究员, 主要从事流体力学计算方法研究.E-mail:wang_yanjin@iapcm.ac.cn

中图分类号: O344.3
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出版历程
- 收稿日期: 2012-08-23
- 修回日期: 2012-12-03

3D Eulerian Numerical Method for Debris Clouds

1.
Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
2.
Graduate School of China Academy of Engineering Physics, Beijing 100088, China

摘要

摘要: 针对材料超高速碰撞产生碎片云问题进行了多介质弹塑性流体力学欧拉方法数值模拟，介绍了所采用的数学模型、材料模型及相应的计算方法，模拟了铝球超高速碰撞铝板和斜铜柱高速撞击铝板形成碎片云的实验现象。进行了不同碰撞速度下模拟的碎片云形状和实验结果比较，利用经验公式对数值模拟的板靶开孔尺寸进行了分析。数值结果与实验结果、经验公式结果比较，说明多介质弹塑性流体力学欧拉方法能够较好地模拟超高速碰撞产生的碎片云问题，验证了数值方法的有效性。
- 超高速碰撞 /
- 碎片云 /
- 弹塑性流体力学 /
- 欧拉方法 /
- 数值模拟
Abstract: This paper studied the 3D Euler method of elastic-plastic hydrodynamics with the ideal elastic-plastic constructive model for debris clouds produced by hypervelocity impacts.Two cases were simulated that sphere and oblique cylinder impacting single plates.The simulation results were compared with experimental results.The numerical simulating cloud shapes agreed very well with experimental results.The hole diameter of hypervelocity impact of projectile was also studied.It shows that the Eulerian numerical method is validate for simulating debris clouds produced by hypervelocity impacts.
- hypervelocity impact /
- debris clouds /
- elastic-plastic dynamics /
- Euler method /
- numerical simulation

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图 1 碰撞后8.1和23.2 μs的计算结果和实验结果

Figure 1. Simulated and experimental debris clouds from an Al sphere impacting an Al palte at 6.15 km/s

下载: 全尺寸图片幻灯片

图 2 碰撞后8.1 μs计算结果三维图像

Figure 2. 3D numerical simulating images at 8.1 μs after impact

下载: 全尺寸图片幻灯片

图 3 碰撞后8.1 μs的内能计算结果

Figure 3. Numerical results of internal energy at 8.1 μs after impact

Grey: Internal energy being larger than melting internal energy
Black: Internal energy being less than melting internal energy

下载: 全尺寸图片幻灯片

图 4 8.1 μs时不同撞击速度碎片云的数值模拟结果

Figure 4. Simulating results of debris cloud with different impacting velocities at 8.1 μs

下载: 全尺寸图片幻灯片

图 5 不同撞击速度铝球在铝板上的开孔尺寸

Figure 5. Hole diameters on Al plate impacted by Al sphere with different velocities

下载: 全尺寸图片幻灯片

图 6 斜铜柱撞击铝板的实验结果和数值模拟结果

Figure 6. Experimental and numerical results of oblique cylinder impacting Al plate

Experimental result Numerical result

下载: 全尺寸图片幻灯片

图 7 斜铜柱撞击铝板数值模拟碎片云形成过程

Figure 7. Numerical result of debris clouds formation of oblique cylinder impacting Al plate

下载: 全尺寸图片幻灯片

表 1 铝板开孔尺寸数值结果与经验公式比较

Table 1. Comparison of numerical result of hole diameters on Al plate and empirical formula

Result	Hole diameter with 4 km/s /(cm)	Hole diameter with 8 km/s /(cm)	Hole diameter with 11 km/s /(cm)
This paper	2.04	2.28	2.38
Formulation	1.80	2.19	2.47

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