先进制造过程中复杂毛细效应的有限体积法高效模拟
Efficient Simulation of Complex Capillary Effects in Advanced Manufacturing Processes using the Finite Volume Method
摘要：
多相系统中表面张力驱动流动的精确表示被认为是一个具有挑战性的问题，以解决数值。虽然已经有大量的工作，在过去提出的方法来解决这些所谓的马兰戈尼流在相边界，如何有效地解决接口的问题，在一个普遍的和保守的方式仍然在很大程度上是开放的比较。这样的问题在许多制造过程中具有高度的实际相关性，特别是在毛细效应主导局部力平衡的微流体体系中。在这项工作中，我们提出了一个免费提供的数值求解器的基础上，有限体积法，能够解决任意复杂的，不可压缩的多相系统与上述物理在相边界。通过使用高阶WENO格式或采用自适应单元细化，可以获得关于自由度数目的有效解。我们通过研究模型基准案例以及与激光增材制造高度相关的单轨激光熔化过程来展示求解器的功能。
英文摘要：
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.
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