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A differentially interpolated direct forcing immersed boundary method for predicting incompressible Navier-Stokes equations in time-varying complex geometries

机译:时变复杂几何中不可压缩的Navier-Stokes方程的差分插值直接强迫沉浸边界方法

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摘要

A dispersion-relation-preserving dual-compact scheme developed in Cartesian grids is applied together with the immersed boundary method to solve the flow equations in irregular and time-varying domains. The artificial momentum forcing term applied at certain points in cells containing fluid and solid allows an imposition of velocity condition to account for the motion of solid body. We develop in this study a differential-based interpolation scheme which can be easily extended to three-dimensional simulation. The results simulated from the proposed immersed boundary method agree well with other numerical and experimental results for the chosen benchmark problems. The accuracy and fidelity of the IB flow solver developed to predict flows with irregular boundaries are therefore demonstrated.
机译:将笛卡尔网格中开发的保持色散关系的双紧凑方案与沉浸边界方法一起应用,以求解不规则和时变域中的流动方程。在包含流体和固体的单元中的某些点上应用的人工动量强迫项可以施加速度条件以说明固体的运动。在这项研究中,我们开发了一种基于差分的插值方案,该方案可以轻松扩展到三维仿真。拟议的浸入边界方法模拟的结果与所选基准问题的其他数值和实验结果非常吻合。因此,证明了开发用于预测具有不规则边界的流量的IB流量求解器的准确性和逼真度。

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