论文标题
一种级别的浸入边界方法，用于与移动界面的复杂拓扑中的反应性传输
A Level-Set Immersed Boundary Method for Reactive Transport in Complex Topologies with Moving Interfaces
论文作者
论文摘要
基于级别集和浸没边界方法（LS-IBM）的仿真框架已开发出用于涉及移动固体流体界面的多孔介质中的反应性传输问题。通过级别的方法跟踪表面反应引起的界面运动，而浸入边界方法捕获了界面处的动量和质量传输。所提出的方法能够准确地对笛卡尔网格中不断发展的边界附近的传输进行准确建模。框架配方保证了太空的二阶准确度。由于仅在移动边界处定义界面速度，因此还提出了接口速度传播方法。该方法可以应用于``Stefan''类型的其他移动接口问题。在这里，我们验证了所提出的LS-IBM用于流动和运输，接近具有反应性边界和晶体生长的浸入式物体。提出的方法提供了一种强大的工具，可以模拟更现实的问题，该问题涉及复杂域中的反应性接口。
A simulation framework based on the level-set and the immersed boundary methods (LS-IBM) has been developed for reactive transport problems in porous media involving a moving solid-fluid interface. The interface movement due to surface reactions is tracked by the level-set method, while the immersed boundary method captures the momentum and mass transport at the interface. The proposed method is capable of accurately modeling transport near evolving boundaries in Cartesian grids. The framework formulation guarantees second order accuracy in space. Since the interface velocity is only defined at the moving boundary, an interface velocity propagation method is also proposed. The method can be applied to other moving interface problems of the ``Stefan'' type. Here, we validate the proposed LS-IBM both for flow and transport close to an immersed object with reactive boundaries as well as for crystal growth. The proposed method provides a powerful tool to model more realistic problems involving moving reactive interfaces in complex domains.
