Stabilized formulation for phase-transforming flows with special emphasis on cavitation inception
Stabilized formulation for phase-transforming flows with special emphasis on cavitation inception
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DOI：
10.1016/j.cma.2023.116228
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发表时间：
2023-10
影响因子：
7.2
通讯作者：
S. Mukherjee;Hector Gomez
中科院分区：
文献类型：
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作者：
S. Mukherjee;Hector Gomez
尽管空化领域取得了重大进展，但人们对纯液体产生汽泡的机理仍不甚了解。本文提出了一种求解Navier-Stokes-Korteweg方程的数值算法，该方程是控制多相可压缩流动动力学的相场方程。这些方程可以在没有关于传质的唯象假设的情况下预测空化的开始。我们提出了对流体体积自由能的修正，它可以帮助我们模拟比以前可能的更大长度尺度的空化。我们提出了一种基于Taylor-Galerkin离散化的数值格式、基于残差的不连续捕捉算子和空间滤波格式。我们的数值方法可以用于具有大压力梯度的高速流动，这是我们观察到空化开始的流动的显著特征。我们给出的数值例子表明了我们方案的准确性、稳定性和稳健性。最后，我们使用所提出的数值格式来研究空化起始领域中的基准问题，如绕过楔形流动和绕过钝体流动。拟议的数值格式为更详细地了解空化的不同方面，特别是初始空化提供了机会。
Despite significant advancement in the field of cavitation, the inception of vapor bubbles from pure liquid is still not well understood. In this paper, we propose a numerical algorithm to solve the Navier–Stokes–Korteweg equations, which are phase-field equations that govern the dynamics of multiphase compressible flows. These equations can predict cavitation inception without phenomenological assumptions about mass transfer. We present a modification to the bulk free energy of the fluid that can help us simulate cavitation at much larger length scales than previously possible. We propose a numerical scheme based on a Taylor–Galerkin discretization, a residual-based discontinuity capturing operator and a spatial filtering scheme. Our numerical method can be used for high speed flows with large pressure gradients, which are distinctive features of flows where we observe cavitation inception. We present numerical examples that show the accuracy, stability and robustness of our scheme. Finally, we use the proposed numerical scheme to study benchmark problems in the field of cavitation inception such as flow past a wedge and flow past a bluff body. The proposed numerical scheme opens opportunities to understand different aspects of cavitation in general and inception in particular, in much more detail.