气液两相流问题的高精度数值模拟

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摘要采用加权三阶ENN格式离散Euler方程、LS运输方程及其重新初始化方程的空间导数，耦合三阶Runge-Kutta法离散它们的时间导数，LS法追踪运动界面和MGFM 法定义界面边界条件，探讨了气液两相流问题的高精度数值模拟。通过一维大密度大压力比实验的数值模拟，以及二维水下爆炸过程中冲击波的产生、传播、反射、透射和水面隆起等演化过程的数值模拟，验证了本文方法的可行性和稳定性，可实现气液两相流的高精度数值模拟及其运动界面的高分辨率追踪。

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	覃柏英 1　林贤坤2 　荣吉利3 　冯志伟3

关键词 ：气液两相流, ENN格式, WENN格式, Level Set法, MGFM 法, 界面追踪

Abstract：Coupling with third-order Runge-Kutta, LS and MGFM, the weighted ENN3 scheme (WENN3) was used to discuss the numerical simulation of gas-liquid two-phase flow. WENN3 is applied to discrete the spatial derivative of Euler equation, LS transport equation and its reinitialization equation. Third-order Runge-Kutta is applied to discrete their time derivative. LS method is applied to track the moving interface and MGFM method is applied to define interface boundary condition. Using one-dimensional experiments with high density and high pressure ratio, and two-dimensional underwater explosion experiments to discuss evolution process of shock wave generation, propagation, reflection, transmission and surface uplift, numerical calculation of gas-liquid two-phase flow problem was performed, and the accuracy and reliability of the method was verified. From the results of numerical simulation, it indicates that this method has high resolution, high precision, and strong advantage in suimulating gas-liquid two-phase flow with high density, high pressure ratio and strong discontinuity, and can achieve high resolution tracking of the moving interface.

Key words： Gas-liquid Two-phase Flow ENN3 WENN3 Level Set MGFM Moving Interface Tracking

收稿日期: 2014-12-16 出版日期: 2016-04-25

引用本文:

覃柏英 1　林贤坤2 　荣吉利3 　冯志伟3 . 气液两相流问题的高精度数值模拟[J]. 振动与冲击, 2016, 35(9): 79-85.
Qin Bo-ying1 　Lin Xian-kun2 　Rong Ji-li3 　Feng Zhi-wei 3. High Precision Numerical Simulation of Gas-liquid Two-phase Flow. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(9): 79-85.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2016/V35/I9/79

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