A Comprehensive Study About Implicit/Explicit Large-Eddy Simulations with Implicit/Explicit Filtering

IF 2 3区 工程技术 Q3 MECHANICS Flow, Turbulence and Combustion Pub Date : 2024-08-12 DOI:10.1007/s10494-024-00577-9
Pedro Stefanin Volpiani
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Abstract

A high-order computational fluid dynamics code was developed to simulate the compressible Taylor–Green vortex problem by means of large-eddy (LES) and direct numerical simulations. The code, BASIC, uses explicit central-differencing to compute the spatial derivatives and explicit low storage Runge–Kutta methods for the temporal discretization. Central-differencing schemes were combined with relaxation filtering or with splitting formulas to discretize convective derivative operators. The application of split forms to convective derivatives generally guarantees good stability properties with marginal dissipation. However, these types of schemes were found to be unsuited to perform implicit large-eddy simulations (ILES). The minimally dissipative schemes showed acceptance performance, only when combined with a sub-grid scale model. The relaxation-filtering strategy, on the other hand, although more dissipative, was proven to be more adequate to perform ILES. We showed that reducing the filter dissipation, by optimizing its damping function, has a positive impact in the flow solution. When performing ILES, the utilization of split formulas in conjunction with relaxation filtering has equally yielded promising results. This combined approach enhances numerical stability while preserving low levels of numerical dissipation.

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关于带有隐式/显式过滤功能的隐式/显式大型埃迪模拟的综合研究
开发了一种高阶计算流体动力学代码,通过大涡流(LES)和直接数值模拟来模拟可压缩泰勒-格林涡流问题。该代码(BASIC)使用显式中心差法计算空间导数,并使用显式低存储 Runge-Kutta 方法进行时间离散化。中心差分方案与松弛滤波或分裂公式相结合,对对流导数算子进行离散化。在对流导数中应用分裂形式通常能保证在边际耗散的情况下具有良好的稳定性。然而,人们发现这些类型的方案不适合进行隐式大涡度模拟(ILES)。最小耗散方案只有在与子网格尺度模型相结合时才显示出良好的性能。另一方面,松弛滤波策略虽然耗散更大,但被证明更适合执行隐式大涡度模拟。我们的研究表明,通过优化滤波器的阻尼函数来减少滤波器的耗散,会对流量求解产生积极影响。在进行 ILES 时,结合松弛滤波使用拆分公式同样取得了可喜的成果。这种组合方法增强了数值稳定性,同时保持了较低的数值耗散水平。
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来源期刊
Flow, Turbulence and Combustion
Flow, Turbulence and Combustion 工程技术-力学
CiteScore
5.70
自引率
8.30%
发文量
72
审稿时长
2 months
期刊介绍: Flow, Turbulence and Combustion provides a global forum for the publication of original and innovative research results that contribute to the solution of fundamental and applied problems encountered in single-phase, multi-phase and reacting flows, in both idealized and real systems. The scope of coverage encompasses topics in fluid dynamics, scalar transport, multi-physics interactions and flow control. From time to time the journal publishes Special or Theme Issues featuring invited articles. Contributions may report research that falls within the broad spectrum of analytical, computational and experimental methods. This includes research conducted in academia, industry and a variety of environmental and geophysical sectors. Turbulence, transition and associated phenomena are expected to play a significant role in the majority of studies reported, although non-turbulent flows, typical of those in micro-devices, would be regarded as falling within the scope covered. The emphasis is on originality, timeliness, quality and thematic fit, as exemplified by the title of the journal and the qualifications described above. Relevance to real-world problems and industrial applications are regarded as strengths.
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