论文标题
使用有限体积方法对高级制造过程中复杂毛细管效应的有效模拟
Efficient Simulation of Complex Capillary Effects in Advanced Manufacturing Processes using the Finite Volume Method
论文作者
论文摘要
在多相系统中，表面张力驱动的流的准确表示被认为是一个具有挑战性的问题。尽管过去曾有广泛的作品提出了解决这些所谓的Marangoni在相边界处的方法，但相比之下，如何以通用和保守的方式有效地解决界面的问题仍然很大程度上开放。这些问题在许多制造过程中具有很高的实际相关性，尤其是在毛细血管影响占据当地力量平衡的微流体状态下。在这项工作中，我们基于有限体积方法提供了一个免费的数值求解器，该方法能够与相时边界上提到的物理学解决任意复杂，不可压缩的多相系统。关于自由度数量的有效解决方案可以通过使用高级WENO模板或采用自适应细胞的细化来获得。我们通过研究模型基准案例以及在激光添加剂制造中高度相关的单个轨道激光熔化过程来证明求解器的功能。
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.
