不可压缩流模拟的标准保能和保动能时间积分方法的性能研究

IF 2 3区 工程技术 Q3 MECHANICS
Marco Artiano, Carlo De Michele, Francesco Capuano, Gennaro Coppola
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引用次数: 0

摘要

针对不可压缩湍流通道流动的大涡模拟,分析了龙格-库塔(RK)时间积分器引起的动能守恒误差的影响。利用开源求解器Xcompact3D,采用隐式谱消失黏度模型和多种时序龙格-库塔积分器进行了仿真。与标准RK方法相比,显式伪辛方案具有改进的能量保存特性。结果表明,高阶伪辛方法的时间误差明显减小;另一方面,对能谱的分析表明,常用的三级RK方案所引入的耗散会导致惯性范围内能量分布的明显畸变。成本对精度的分析表明,伪辛方案可以在减少计算成本的情况下获得与传统方法相当的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the Performances of Standard and Kinetic Energy Preserving Time-Integration Methods for Incompressible-Flow Simulations

The effects of kinetic-energy preservation errors due to Runge–Kutta (RK) temporal integrators have been analyzed for the case of large-eddy simulations of incompressible turbulent channel flow. Simulations have been run using the open-source solver Xcompact3D with an implicit spectral vanishing viscosity model and a variety of temporal Runge–Kutta integrators. Explicit pseudo-symplectic schemes, with improved energy preservation properties, have been compared to standard RK methods. The results show a marked decrease in the temporal error for higher-order pseudo-symplectic methods; on the other hand, an analysis of the energy spectra indicates that the dissipation introduced by the commonly used three-stage RK scheme can lead to significant distortion of the energy distribution within the inertial range. A cost-vs-accuracy analysis suggests that pseudo-symplectic schemes could be used to attain results comparable to traditional methods at a reduced computational cost.

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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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