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A relaxed a posteriori MOOD algorithm for multicomponent compressible flows using high-order finite-volume methods on unstructured meshes
Applied Mathematics and Computation ( IF 4 ) Pub Date : 2022-09-20 , DOI: 10.1016/j.amc.2022.127544
Panagiotis Tsoutsanis , Machavolu Sai Santosh Pavan Kumar , Pericles S. Farmakis

In this paper the relaxed, high-order, Multidimensional Optimal Order Detection (MOOD) framework is extended to the simulation of compressible multicomponent flows on unstructured meshes. The diffuse interface methods (DIM) paradigm is used that employs a five-equation model. The implementation is performed in the open-source high-order unstructured compressible flow solver UCNS3D. The high-order CWENO spatial discretisation is selected due to its reduced computational footprint and improved non-oscillatory behaviour compared to the original WENO variant. Fortifying the CWENO method with the relaxed MOOD technique has been necessary to further improve the robustness of the CWENO method. A series of challenging 2-D and 3-D compressible multicomponent flow problems have been investigated, such as the interaction of a shock with a helium bubble, and a water droplet, and the shock-induced collapse of 2-D and 3-D bubbles arrays. Such problems are generally very stiff due to the strong gradients present, and it has been possible to tackle them using the extended MOOD-CWENO numerical framework.



中文翻译:

一种在非结构化网格上使用高阶有限体积方法的多分量可压缩流的后验 MOOD 算法

在本文中,将宽松的高阶多维最优阶检测 (MOOD) 框架扩展到模拟非结构化网格上的可压缩多分量流。使用采用五方程模型的扩散界面方法 (DIM) 范例。在开源高阶非结构化可压缩流求解器UCNS3D中执行实现. 选择高阶 CWENO 空间离散化是因为与原始 WENO 变体相比,它减少了计算占用空间并改进了非振荡行为。为了进一步提高 CWENO 方法的鲁棒性,有必要使用宽松的 MOOD 技术来强化 CWENO 方法。研究了一系列具有挑战性的 2-D 和 3-D 可压缩多分量流动问题,例如冲击与氦泡和水滴的相互作用,以及冲击引起的 2-D 和 3-D 坍缩气泡数组。由于存在强梯度,此类问题通常非常棘手,并且可以使用扩展的 MOOD-CWENO 数值框架来解决它们。

更新日期:2022-09-20
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