一种用于复杂拓扑中具有移动界面的反应输运的水平集浸没边界方法
A Level-Set Immersed Boundary Method for Reactive Transport in Complex Topologies with Moving Interfaces
AI总结：
本文提出一种结合水平集与浸没边界方法的LS-IBM模拟框架，用于处理复杂拓扑中具有移动反应界面的反应输运问题，并通过流动、输运及晶体生长算例验证了其空间二阶精度与有效性。
摘要：
针对多孔介质中涉及移动固-流界面的反应输运问题，开发了一种基于水平集方法和浸没边界方法（LS-IBM）的模拟框架。由表面反应引起的界面运动通过水平集方法进行追踪，而浸没边界方法则捕获界面处的动量和质量输运。所提出的方法能够在笛卡尔网格中准确模拟演化边界附近的输运。该框架的公式保证了空间上的二阶精度。由于界面速度仅在移动边界处定义，因此还提出了一种界面速度传播方法。该方法可应用于其他“Stefan”类型的移动界面问题。在此，我们针对具有反应边界的浸没物体附近的流动和输运以及晶体生长两种情况，对所提出的LS-IBM进行了验证。所提出的方法为模拟复杂域中涉及移动反应界面的更真实问题提供了有力工具。
英文摘要：
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.
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