arXiv 2201.118752022-01-28physics.flu-dynphysics.comp-ph

全欧拉流固耦合问题的保界面保几何相场法

An interface and geometry preserving phase-field method for fully Eulerian fluid-structure interaction

Xiaoyu Mao, Rajeev Jaiman

DOI：: 10.1016/j.jcp.2022.111903

摘要：

本文提出了一种基于相场法的完全欧拉流固耦合的界面和几何保持（IGP）方法。虽然双曲正切界面轮廓保留的时间相关的迁移率模型，所提出的方法保持了固体-流体界面的几何形状，通过减少体积守恒的平均曲率流。为了实现曲率流的减少，我们构造了一个梯度最小化的速度场（GMV）的对流的序参量。所构造的速度场使得能够保持固体域中的固体速度，同时在整个扩散界面区域中沿法线方向延伸速度。通过这种处理，GMV减小了序参量水平集的法向速度差，从而消除了由于对流而导致的扩散界面区域的不期望的增厚或变薄。在此过程中，随时间变化的迁移率系数大大降低，并有一个较小的曲率流。GMV确保扩散界面区域与固体块体一起移动，使得流体-固体界面符合固体的几何形状。利用统一的动量方程和相位相关的插值，我们集成的IGP方法到一个完全欧拉变分流固耦合求解器的不可压缩粘性流体和neo-Hookean固体。我们首先证明了基于相场的IGP方法的能力，圆形和方形界面的对流与规定的速度场。变分FSI框架与IGP方法，然后检查通过一个固定的可变形块在通道域中的流。最后，一个固定的圆柱受到来流后面的板的振动被用来评估一个大的长宽比和尖角的完全欧拉框架。

英文摘要：

We present an interface and geometry preserving (IGP) method for the modeling of fully Eulerian fluid-structure interaction via phase-field formulation. While the hyperbolic tangent interface profile is preserved by the time-dependent mobility model, the proposed method maintains the geometry of the solid-fluid interface by reducing the volume-conserved mean curvature flow. To achieve the reduction in the curvature flow, we construct a gradient-minimizing velocity field (GMV) for the convection of the order parameter. The constructed velocity field enables the preservation of the solid velocity in the solid domain while extending the velocity in the normal direction throughout the diffuse interface region. With this treatment, the GMV reduces the normal velocity difference of the level sets of the order parameter which alleviates the undesired thickening or thinning of the diffuse interface region due to the convection. During this process, the time-dependent mobility coefficient is substantially reduced and there is a lesser curvature flow. The GMV ensures that the diffuse interface region moves with the solid bulk such that the fluid-solid interface conforms to the geometry of the solid. Using the unified momentum equation and the phase-dependent interpolation, we integrate the IGP method into a fully Eulerian variational FSI solver based on the incompressible viscous fluid and the neo-Hookean solid. We first demonstrate the ability of the phase-field-based IGP method for the convection of circular and square interfaces with a prescribed velocity field. The variational FSI framework with the IGP method is then examined for the flow passing a fixed deformable block in a channel domain. Finally, the vibration of a plate attached behind a stationary cylinder subjected to incoming flow is employed to assess the fully Eulerian framework for a large aspect ratio and sharp corners.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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英文摘要：

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