High-order hybrid DG-FV framework for compressible multi-fluid problems on unstructured meshes
High-order hybrid DG-FV framework for compressible multi-fluid problems on unstructured meshes
复制标题
非结构化网格上可压缩多流体问题的高阶混合 DG-FV 框架
DOI：
10.1016/j.jcp.2024.112819
复制
发表时间：
2024
影响因子：
4.1
通讯作者：
Maltsev V
中科院分区：
文献类型：
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作者：
Maltsev V
在这项工作中，我们扩展了混合间断Galerkin/有限体积框架，介绍了在V. Maltsev，D。Yuan，K. W. Jenkins，M. Skote，P. Tsoutsanis，“Hybrid discontinuous Galerkin-finite volume techniques for compressable flows on nonstructured mesh，Journal of Computational Physics 473（2023）”[1]，to multi-species problems involving gas-gas and gas-liquid systems.由于DG离散化，数值方案在光滑流动区域实现了高阶精度，但由于FV型重建，避免了材料界面处的振荡和冲击。这种策略，通常在文献中所表示的，利用所谓的麻烦的细胞指标的检测产生的数值振荡的无限高阶计划在存在的不连续性，并使更多的耗散计划在麻烦的细胞，只有为了抑制寄生振荡。正如将显示在一系列越来越具有挑战性的测试情况下，当应用到多物种流的扩散界面模型的上下文中，混合框架是能够限制过多的材料界面耗散，这些界面捕捉方法的特性，允许在同一时间控制的耗散量，必要的解决更严格的问题。
In this work we extend the hybrid Discontinuous Galerkin/ Finite Volume framework, introduced in V. Maltsev, D. Yuan, K. W. Jenkins, M. Skote, P. Tsoutsanis, “Hybrid discontinuous Galerkin-finite volume techniques for compressible flows on unstructured meshes, Journal of Computational Physics 473 (2023)” [1], to multi-species problems involving gas-gas and gas-liquid systems. The numerical scheme achieves high order accuracy in smooth flow regions thanks to the DG discretisation, yet avoiding oscillations at material interfaces and shocks thanks to a FV type reconstruction. This strategy, as typically represented in literature, makes use of the so-called troubled cell indicators for the detection of numerical oscillations generated by an unlimited high-order scheme in presence of discontinuities, and enables a more dissipative scheme in the troubled cells only in order to suppress the spurious oscillations. As will be shown in a series of increasingly challenging test-cases, when applied to multi-species flows in the context of diffuse-interface models, the hybrid framework is able to limit the excessive material interface dissipation, characteristic of these interface-capturing methods, allowing at the same time a control over the amount of dissipation necessary to solve stiffer problems.