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首页> 外文期刊>Journal of Computational Physics >A Quadratic Spline based Interface (QUASI) reconstruction algorithm for accurate tracking of two-phase flows
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A Quadratic Spline based Interface (QUASI) reconstruction algorithm for accurate tracking of two-phase flows

机译：基于二次样条的接口（QUASI）重构算法，用于精确跟踪两相流

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A new Quadratic Spline based Interface (QUASI) reconstruction algorithm is presented which provides an accurate and continuous representation of the interface in a multiphase domain and facilitates the direct estimation of local interfacial curvature. The fluid interface in each of the mixed cells is represented by piecewise parabolic curves and an initial discontinuous PLIC approximation of the interface is progressively converted into a smooth quadratic spline made of these parabolic curves. The conversion is achieved by a sequence of predictor-corrector operations enforcing function (C~0) and derivative (C~1) continuity at the cell boundaries using simple analytical expressions for the continuity requirements. The efficacy and accuracy of the current algorithm has been demonstrated using standard test cases involving reconstruction of known static interface shapes and dynamically evolving interfaces in prescribed flow situations. These benchmark studies illustrate that the present algorithm performs excellently as compared to the other interface reconstruction methods available in literature. Quadratic rate of error reduction with respect to grid size has been observed in all the cases with curved interface shapes; only in situations where the interface geometry is primarily flat, the rate of convergence becomes linear with the mesh size. The flow algorithm implemented in the current work is designed to accurately balance the pressure gradients with the surface tension force at any location. As a consequence, it is able to minimize spurious flow currents arising from imperfect normal stress balance at the interface. This has been demonstrated through the standard test problem of an inviscid droplet placed in a quiescent medium. Finally, the direct curvature estimation ability of the current algorithm is illustrated through the coupled multiphase flow problem of a deformable air bubble rising through a column of water.
机译：提出了一种新的基于二次样条的接口（QUASI）重建算法，该算法可在多相域中提供连续，准确的接口表示，并有助于直接估计局部界面曲率。每个混合单元中的流体界面由分段抛物线曲线表示，并且界面的初始不连续PLIC逼近逐渐转换为由这些抛物线曲线构成的平滑二次样条。转换是通过一系列预测器-校正器操作在单元边界处执行函数（C〜0）和导数（C〜1）连续性来实现的，使用连续性要求的简单分析表达式即可。使用标准测试案例已经证明了当前算法的有效性和准确性，这些标准测试案例涉及在已知的流量情况下重构已知的静态界面形状和动态演变的界面。这些基准研究表明，与文献中可用的其他接口重建方法相比，本算法性能出色。在所有具有弯曲界面形状的情况下，都可以观察到相对于网格尺寸的二次误差降低率;仅在界面几何基本平坦的情况下，收敛速度才与网格尺寸成线性关系。当前工作中实现的流量算法旨在精确平衡压力梯度与任何位置的表面张力。结果，它能够使由于界面处不正常的法向应力平衡而引起的杂散电流最小化。这已通过将不粘液滴放置在静态介质中的标准测试问题得到了证明。最后，通过可变形气泡通过水柱上升的耦合多相流问题说明了当前算法的直接曲率估计能力。

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