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A Flux-enriched Godunov Method for Multi-material Problems with Interface Slide and Void Opening
Journal of Computational Physics ( IF 3.8 ) Pub Date : 2021-06-09 , DOI: 10.1016/j.jcp.2021.110499
Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

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 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 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.



中文翻译:

一种用于多材料界面滑动和空隙开口问题的富通量 Godunov 方法

这项工作概述了一种新的三维漫反射界面有限体积方法,用于模拟具有大变形、滑动和空隙开口的多个固体和流体成分。这是通过扩展现有的简化方程漫反射界面方法来实现的,这些方法可以通过许多新颖的通量修改器和界面种子程序来实现,这些程序能够应用不同的材料边界条件。该方法允许跨固体界面、材料-空隙相互作用和界面分离的滑动边界条件。该方法被设计为易于实现、成本低廉且高度可并行化。这使其适用于大型多维模拟,这些模拟具有许多复杂的材料和物理过程,它们在多个自适应网格细化级别上相互作用。此外,该方法允许以保守的方式生成新的界面,因此自然有利于高应变率断裂的模拟。因此,模型被增强以包括延性损伤,以允许针对苛刻的物理实验验证该方法。该方法显示出与采用锐界面方法的实验和现有欧拉界面跟踪算法非常一致。

更新日期:2021-06-09
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