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首页> 外文期刊>Computer physics communications >Implicit high-order flux reconstruction solver for high-speed compressible flows
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Implicit high-order flux reconstruction solver for high-speed compressible flows

机译：用于高速可压缩流的隐式高阶磁通重建求解器

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The present paper addresses the development and implementation of the first high-order Flux Reconstruction (FR) solver for high-speed flows within the open-source COOLFluiD (Computational Object-Oriented Libraries for Fluid Dynamics) platform. The resulting solver is fully implicit and able to simulate compressible flow problems governed by either the Euler or the Navier-Stokes equations in two and three dimensions. Furthermore, it can run in parallel on multiple CPU-cores and is designed to handle unstructured grids consisting of both straight and curved edged quadrilateral or hexahedral elements. While most of the implementation relies on state-of-the-art FR algorithms, an improved and more case-independent shock capturing scheme has been developed in order to tackle the first viscous hypersonic simulations using the FR method. Extensive verification of the FR solver has been performed through the use of reproducible benchmark test cases with flow speeds ranging from subsonic to hypersonic, up to Mach 17.6. The obtained results have been favorably compared to those available in literature. Furthermore, so-called "super-accuracy" is retrieved for certain cases when solving the Euler equations. The strengths of the FR solver in terms of computational accuracy per degree of freedom are also illustrated and its computation cost per degree of freedom is assessed for different orders. Finally, the influence of the characterizing parameters of the FR method as well as the influence of the novel shock capturing scheme on the accuracy of the developed solver is discussed. (C) 2019 Elsevier B.V. All rights reserved.
机译：本文介绍了开放源CoolFluID（用于流体动力学的计算面向对象的库）平台内的高速流动的第一高级磁通重建（FR）求解器的开发和实施。得到的求解器是完全隐含的，能够模拟由欧拉或海军 - 斯托克斯方程式控制的可压缩流量问题，在两个和三维中。此外，它可以在多个CPU-芯上并行运行，并且设计用于处理由直线和弯曲的四边形或六面对元素组成的非结构化网格。虽然大多数实施方式依赖于最先进的FR算法，但是已经开发了一种改进的和更差别的冲击捕获方案，以便使用FR方法解决第一粘性超声波模拟。通过使用可重复的基准测试用例进行了广泛验证，通过使用可重复的基准测试用例，其流速范围从子系统到超声波的流速，直到Mach 17.6。与文学中可用的那些相比，获得的结果已经有利。此外，在求解欧拉方程时，某些情况下可以检索所谓的“超级精度”。还说明了每自由度计算精度的FR求解器的优势，并且每自由度的计算成本被评估为不同的订单。最后，讨论了FR方法表征参数的影响以及新的冲击捕获方案对开发解器的准确性的影响。 （c）2019年Elsevier B.V.保留所有权利。

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