微通道振荡脉动流中液滴迁移动力学及其横向平衡位置的多保真度高斯过程预测和不确定性量化
Dynamics of a droplet migration in oscillatory and pulsating microchannel flows and prediction and uncertainty quantification of its lateral equilibrium position using Multi Fidelity Gaussian processes
摘要：
对微通道内牛顿流体振荡流和脉动流中液滴的动力学行为进行了数值研究。振荡频率，表面张力，和通道流速的影响已被探索通过模拟微通道内的液滴。与具有类似条件的稳定流相比，这些类型的流为液滴引入了新的平衡位置。由于底流的非定常特性，模拟结果对网格分辨率非常敏感。因此，在这项研究中使用了一组精细的网格，以更准确地捕捉这个问题的物理过程。然而，这些精细的网格使得计算非常昂贵。因此，具有两个保真度水平的多保真度高斯过程方法已被用于预测剩余的细网格模拟的结果以及它们的不确定性，其基础上的相关性与粗网格的情况下，在广泛的输入参数。
英文摘要：
Dynamics of a droplet in oscillatory and pulsating flows of a Newtonian fluid in a microchannel has been studied numerically. The effects of oscillation frequency, surface tension, and channel flow rate have been explored by simulating the drop within a microchannel. These types of flows introduce new equilibrium positions for the drop compared to steady flows with similar conditions. The simulation results are very sensitive to the grid resolution due to the unsteady behavior of the base flow. Therefore, a set of fine grids have been used in this study to capture the physics of this problem more accurately. However, these fine grids make the computations significantly expensive. Therefore, a Multi Fidelity Gaussian processes method with two levels of fidelity has been used to predict the results of the remaining fine-grid simulations along with their uncertainties based on their correlations with those of the coarse-grid cases over a wide range of input parameters.
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