Simulation and validation of surfactant-laden drops in two-dimensional Stokes flow
Simulation and validation of surfactant-laden drops in two-dimensional Stokes flow
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DOI：
10.1016/j.jcp.2018.12.044
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发表时间：
2018-06
期刊：
影响因子：
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通讯作者：
S. Pålsson;M. Siegel;A. Tornberg
中科院分区：
文献类型：
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作者：
S. Pålsson;M. Siegel;A. Tornberg
对液滴系统进行高度精确的模拟是一个具有挑战性的问题。这主要是由于界面动力学，而界面动力学由于表面活性剂的加入而进一步复杂化。本文提出了一种计算表面活性剂覆盖液滴在二维Stokes流中演化的边界积分方法。该方法在空间上具有光谱精度，自适应时间步进方案可以控制时间误差。以前可用的半解析解决方案（基于共形映射技术）扩展到包括表面活性剂，并介绍了一套算法来详细评估它们。利用这些半解析解对边界积分法的精度进行了验证和评价，结果表明，即使液滴距离较近，边界积分法也能保持较高的精度。
Performing highly accurate simulations of droplet systems is a challenging problem. This is primarily due to the interface dynamics which is complicated further by the addition of surfactants. This paper presents a boundary integral method for computing the evolution of surfactant-covered droplets in 2D Stokes flow. The method has spectral accuracy in space and the adaptive time-stepping scheme allows for control of the temporal errors. Previously available semi-analytical solutions (based on conformal-mapping techniques) are extended to include surfactants, and a set of algorithms is introduced to detail their evaluation. These semi-analytical solutions are used to validate and assess the accuracy of the boundary integral method, and it is demonstrated that the presented method maintains its high accuracy even when droplets are in close proximity.