可压缩多介质问题的高精度数值模拟

赵海涛; 王成; 宁建国

doi:10.11858/gywlxb.2013.02.014

可压缩多介质问题的高精度数值模拟

doi: 10.11858/gywlxb.2013.02.014

北京理工大学爆炸科学与技术国家重点实验室，北京 100081

详细信息

通讯作者:
王成 E－mail:wangcheng@bit.edu.cn

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出版历程
- 收稿日期: 2012-03-05
- 修回日期: 2012-05-27
- 发布日期: 2013-04-15

High Resolution Numerical Simulation of Compressible Multi-Medium Flow

State Key Laboratory of Explosion Science and Technology, Beijing Insititute of Technology, Beijing 100081, China

摘要

摘要: 采用高精度五阶加权本质无振荡（Weighted Essentially Non-Oscillatory，WENO）格式，结合多物质流体界面追踪方法（Level Set方法），以及RGFM（Real Ghost Fluid Method）界面处理方法，对可压缩多介质动力学问题中高密度比和高压力比的强间断问题进行了高精度数值模拟。对一维气-水相互作用问题进行了数值模拟，验证了该计算方法的准确性和可靠性，并将其推广到二维深水爆炸和近水面爆炸问题中。通过对二维深水爆炸及近水面爆炸问题的数值模拟，可以看出该计算方法能够很好地模拟出水下爆炸时，冲击波的产生、传播、遇到界面后的反射和透射等现象，充分显示出该计算方法在处理高密度比和高压力比的强间断问题的优势。
- 加权本质无振荡（WENO） /
- RGFM /
- 数值模拟 /
- 多介质 /
- 高精度
Abstract: We used high resolution 5th-order WENO (Weighted Essentially Non-Oscillatory) scheme, Level Set method and interface treatment method-RGFM (Real Ghost Fluid Method) in simulating compressible multi-medium flow with high density and high pressure ratio. Simulation of one-dimensional gas-water interaction problem was performed, and the accuracy and reliability of the method was verified. This method is applied to two-dimensional deep water and near free surface explosion simulation. From the simulation results of underwater explosion, it indicates that this method can simulate the shock wave generation, propagation, reflection and transmission after interaction with the interface in underwater explosion. This method is strongly advantageous in simulating compressible multi-medium flow with high density ratio, high pressure ratio and strong discontinuity.
- Weighted Essentially Non-Oscillatory (WENO) /
- Real Ghost Fluid Method (RGFM) /
- numerical simulation /
- multi-medium /
- high resolution

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参考文献(11)

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