Rayleigh-Taylor不稳定性的Runge-Kutta间断有限元模拟

陈二云; 乐贵高; 马大为; 赵改平; 赵继永

doi:10.11858/gywlxb.2008.03.008

Rayleigh-Taylor不稳定性的Runge-Kutta间断有限元模拟

doi: 10.11858/gywlxb.2008.03.008

1.
南京理工大学机械工程学院，江苏南京 210094；
2.
上海理工大学医疗器械学院，上海 200093；
3.
常州轻工职业技术学院，江苏常州 213000

详细信息

通讯作者:
陈二云

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出版历程
- 收稿日期: 2007-08-12
- 修回日期: 2007-12-23
- 发布日期: 2008-09-05

Numerical Simulation for Rayleigh-Taylor Instability Using Runge-Kutta Discontinuous Finite Element Method

1.
School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;
2.
School of Medical Instrument, Shanghai University of Science and Technology, Shanghai 200093, China;
3.
Changzhou Institute of Light Industry, Changzhou 213000, China

More Information

Corresponding author: CHEN Er-Yun

摘要

摘要: 采用发展后的间断有限元方法,对Rayleigh-Taylor不稳定性进行了数值模拟。在计算中采用Level-Set方法进行界面追踪，用虚拟流体方法（Ghost Fluid Method，GFM）对界面附近物理量进行等压装配。对两个典型的Rayleigh-Taylor不稳定性算例的数值研究结果表明，采用该方法计算含有接触间断的多介质流体力学问题是有效的，在交界面附近不出现伪振荡，具有较高的分辨率。
- Rayleigh-Taylor不稳定性 /
- 间断有限元 /
- Level-Set方法 /
- 虚拟流体方法
Abstract: Rayleigh-Taylor instability problem is simulated by using discontinuous finite element method which is developed for Euler equations with an additional body force corresponding to the gravity. Level set method for capturing moving interfaces and ghost fluid method with Isobaric fix for disposing the interfaces are used. Through two representative numerical examples of Rayleigh-Taylor instability, it can be concluded that this method has capability to solve multi-media fluid problems including contact discontinuous, without numerical oscillation near the interface and high resolution.
- Rayleigh-Taylor instability /
- discontinuous finite element /
- Level-Set method /
- ghost fluid method

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参考文献(15)

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