This paper introduces a two-phase interfacial fluid model based on the impulse variable to capture complex vorticity-interface interactions. Our key idea is to leverage bidirectional flow map theory to enhance the transport accuracy of both vorticity and interfaces simultaneously and address their coupling within a unified Eulerian framework. At the heart of our framework is an impulse ghost fluid method to solve the two-phase incompressible fluid characterized by its interfacial dynamics. To deal with the history-dependent jump of gauge variables across a dynamic interface, we develop a novel path integral formula empowered by spatiotemporal buffers to convert the history-dependent jump condition into a geometry-dependent jump condition when projecting impulse to velocity. We demonstrate the efficacy of our approach in simulating and visualizing several interface-vorticity interaction problems with cross-phase vortical evolution, including interfacial whirlpool, vortex ring reflection, and leapfrogging bubble rings.

中文翻译：

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一种模拟两相流的脉冲幽灵流体方法


本文介绍了一种基于脉冲变量的两相界面流体模型，用于捕获复杂的涡度-界面相互作用。我们的关键思想是利用双向流图理论同时提高涡度和界面的传输精度，并在统一的欧拉框架内解决它们的耦合问题。我们框架的核心是一种脉冲幽灵流体方法，用于求解以界面动力学为特征的两相不可压缩流体。为了处理动力学接口上规范变量的历史相关跳跃，我们开发了一种由时空缓冲区授权的新型路径积分公式，在将脉冲投影到速度时，将历史相关跳跃条件转换为几何相关跳跃条件。我们展示了我们的方法在模拟和可视化跨相涡旋演化的几个界面-涡度相互作用问题方面的功效，包括界面漩涡、涡环反射和跳跃气泡环。