The accurate representation of surface tension driven flows in multiphase systems is considered a challenging problem to resolve numerically. Although there have been extensive works in the past that have presented approaches to resolve these so called Marangoni flows at the phase boundaries, the question of how to efficiently resolve the interface in a universal and conservative manner remains largely open in comparison. Such problems are of high practical relevance in many manufacturing processes, especially in the microfluidic regime where capillary effects dominate the local force equilibria. In this work, we present a freely available numerical solver based on the Finite Volume Method that is able to resolve arbitrarily complex, incompressible multiphase systems with the mentioned physics at phase boundaries. An efficient solution with respect to the number of degrees of freedom can be obtained by either using high order WENO stencils or by employing adaptive cell refinement. We demonstrate the capabilities of the solver by investigating a model benchmark case as well as a single track laser melting process that is highly relevant within laser additive manufacturing.
翻译:尽管过去曾开展大量工作,提出在阶段边界上解决这些所谓的马兰戈尼流的方法,但如何以普遍和保守的方式有效解决界面问题仍大体未解决,这些问题在许多制造工艺中具有高度实际意义,特别是在微氟化系统,在微氟化系统中,毛虫效应主宰着当地力量平衡。在这项工作中,我们提出了一个基于 " 精液量法 " 的可自由获取的数字解答器,该解答器能够解决任意复杂、不可压缩的多相位系统,而上述物理系则处于阶段边界。通过使用高压WENO电极速或适应性细胞改进,可以取得关于自由程度的有效解决办法。我们通过调查一个示范基准案例以及一个在激光添加剂制造中高度相关的单一轨道激光熔化过程,来证明解答器的能力。