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An improved immersed moving boundary for hydrodynamic force calculation in lattice Boltzmann method
International Journal for Numerical Methods in Engineering ( IF 2.9 ) Pub Date : 2020-05-28 , DOI: 10.1002/nme.6444
Zhiqiang Chen 1 , Moran Wang 1
Affiliation  

Particles suspension is considerably prevalent in petroleum industry and chemical engineering. The efficient and accurate simulation of such a process is always a challenge for both the traditional computational fluid dynamics and lattice Boltzmann method. Immersed moving boundary (IMB) method is promising to resolve this issue by introducing a particle‐fluid interaction term in the standard lattice Boltzmann equation, which allows for the smooth hydrodynamic force calculation even for a large grid size relative to the solid particle. Although the IMB method was proved good for stationary particles, the deviation of hydrodynamic force on moving particles exists. In this work, we reveal the physical origin of this problem first and figure out that the internal fluid effect on the hydrodynamic force calculation is not counted in the previous IMB. An improved immersed moving boundary method is therefore proposed by considering the internal fluid correction, which is easy to implement with the little extra computation cost. A 2D single elliptical particle and a 3D sphere sedimentation in Newtonian fluid is simulated directly for the validation of the corrected model by excellent agreements with the standard data.

中文翻译:

格子Boltzmann方法中用于水动力计算的改进的浸入式运动边界

颗粒悬浮液在石油工业和化学工程中相当普遍。对于传统的计算流体动力学和格子Boltzmann方法而言,这种过程的有效和准确的模拟始终是一个挑战。浸入移动边界(IMB)方法有望通过在标准晶格Boltzmann方程中引入粒子-流体相互作用项来解决此问题,即使相对于固体粒子的大网格尺寸,也可以进行平滑的流体动力计算。尽管IMB方法已被证明对固定颗粒有很好的效果,但存在流体动力对运动颗粒的偏离。在这项工作中,我们首先揭示了该问题的物理根源,并指出在以前的IMB中未考虑内部流体对流体动力的影响。因此,考虑到内部流体的校正,提出了一种改进的浸入式移动边界方法,该方法易于实现,只需很少的额外计算成本。直接与牛顿流体中的2D单个椭圆形颗粒和3D球体沉降进行模拟,以通过与标准数据的良好一致性来验证校正后的模型。
更新日期:2020-05-28
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