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首页> 外文期刊>Journal of Computational Physics >A numerical method for the simulation of low Mach number liquid-gas flows
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A numerical method for the simulation of low Mach number liquid-gas flows

机译：马赫数低的液-气流动模拟的数值方法

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This work is devoted to the numerical simulation of liquid-gas flows. The liquid phase is considered as incompressible, while the gas phase is treated as compressible in the low Mach number approximation. A single fluid two pressure model is developed and the front-tracking method is used to track the interface. Navier-Stokes equations coupled with that of temperature are solved in the whole computational domain. Velocity, pressure and temperature fields are computed yielding a complete description of the dynamics for both phases. We show that our method is much more efficient than the so-called all-Mach methods involving a single pressure, since large time steps can be used while retaining time accuracy. The model is first validated on a reference test problem solved using an accurate ALE technique to track the interface. Numerical examples in two space dimensions are next presented. They consist of air bubbles immersed in a closed cavity filled up with liquid water. The forced oscillations of the system consisting of the air bubbles and the liquid water are investigated. They are driven by a heat supply or a thermodynamic pressure difference between the bubbles.
机译：这项工作致力于液-气流动的数值模拟。液相被认为是不可压缩的，而气相以低马赫数近似被视为可压缩的。建立了单流体二压力模型，并采用前跟踪方法来跟踪界面。 Navier-Stokes方程和温度方程在整个计算域中求解。计算速度，压力和温度场，以完整描述两个阶段的动力学。我们证明了我们的方法比涉及单一压力的所谓全马赫方法要有效得多，因为可以使用较大的时间步长，同时又可以保持时间精度。该模型首先针对使用精确ALE技术跟踪界面解决的参考测试问题进行了验证。接下来给出二维空间中的数值示例。它们由浸泡在充满液态水的密闭空腔中的气泡组成。研究了由气泡和液态水组成的系统的强迫振荡。它们由气泡之间的热源或热力学压力差驱动。

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