论文标题

富含通量的Godunov方法,用于界面滑动和空隙开口的多物质问题

A Flux-enriched Godunov Method for Multi-material Problems with Interface Slide and Void Opening

论文作者

Wallis, Tim, Barton, Philip T., Nikiforakis, Nikolaos

论文摘要

这项工作概述了一种新的三维扩散界面有限体积方法,用于模拟多个固体和流体成分,这些固体和流体成分具有较大的变形,滑动和空隙开口。这是通过通过许多新型的磁通模型和界面播种程序来扩展现有的降低方程弥散界面方法来实现的,从而实现了不同材料边界条件的应用。该方法允许跨固体接口,材料空间相互作用和界面分离的滑动边界条件。该方法旨在直接实施,便宜且高度平行。这使其适合在大型多维模拟中使用,这些模拟具有许多复杂的材料和物理过程,这些材料和物理过程在多个自适应网格的细化中相互作用。此外,这种新方法允许以保守的方式生成新界面,因此自然促进了高晶率骨折的模拟。因此,加强了管理模型,以包括延性损伤,以允许对该方法进行验证,以防止进行苛刻的物理实验。该方法显示出与采用尖锐界面方法的实验和现有的Eulerian界面跟踪算法具有极好的一致性。

This work outlines a new three-dimensional diffuse interface finite volume method for the simulation of multiple solid and fluid components featuring large deformations, sliding and void opening. This is achieved by extending an existing reduced-equation diffuse interface method by means of a number of novel flux-modifiers and interface seeding routines that enable the application of different material boundary conditions. The method allows for slip boundary conditions across solid interfaces, material-void interaction, and interface separation. The method is designed to be straightforward to implement, inexpensive and highly parallelisable. This makes it suitable for use in large, multi-dimensional simulations that feature many complex materials and physical processes interacting over multiple levels of adaptive mesh refinement. Furthermore, the new method allows for the generation of new interfaces in a conservative fashion and therefore naturally facilitates the simulation of high-strain rate fracture. Hence, the governing model is augmented to include ductile damage to allow for validation of the method against demanding physical experiments. The method is shown to give excellent agreement with both experiment and existing Eulerian interface tracking algorithms that employ sharp interface methods.

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