A parallel finite volume algorithm for large-eddy simulation of turbulent flows
A parallel finite volume algorithm for large-eddy simulation of turbulent flows
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DOI：
10.2514/6.1999-789
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发表时间：
1998-11
期刊：
影响因子：
--
通讯作者：
T. Bui
中科院分区：
文献类型：
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作者：
T. Bui
摘要发展了一种可压缩湍流大涡模拟的并行有限体积算法。该算法包括分段线性最小二乘重建、三线性有限元插值、Roe通量差分裂（FDS）和二阶MacCormack时间推进。一个系统的和一致的方法来评价控制体积的表面和体积积分。并行实现使用消息传递编程模型。为了验证湍流模拟的数值方法，LES充分发展的湍流在一个方形管道进行雷诺数为320的基础上的平均摩擦速度和管道的水力直径。直接数值模拟（DNS）结果可用于此测试情况下，该算法的湍流模拟的准确性可以通过比较LES解决方案与DNS结果来确定。本文首次采用Roe FDS有限体积法模拟了方管湍流大涡模拟，考察了网格分辨率、迎风数值耗散和亚网格尺度耗散对大涡模拟精度的影响。与DNS结果的比较表明，标准Roe FDS不利地影响湍流模拟的准确性。对于精确的湍流模拟，仅需要标准Roe FDS耗散的3-5%。
Abstract A parallel, finite-volume algorithm has been developed for large-eddy simulation (LES) of compressible turbulent flows. This algorithm includes piecewise linear least-square reconstruction, trilinear finite-element interpolation, Roe flux-difference splitting (FDS), and second-order MacCormack time marching. A systematic and consistent means of evaluating the surface and volume integrals of the control volume is described. Parallel implementation is done using the message-passing programming model. To validate the numerical method for turbulence simulation, LES of fully developed turbulent flow in a square duct is performed for a Reynolds number of 320 based on the average friction velocity and the hydraulic diameter of the duct. Direct numerical simulation (DNS) results are available for this test case, and the accuracy of this algorithm for turbulence simulations can be ascertained by comparing the LES solutions with the DNS results. For the first time, a finite volume method with Roe FDS was used for LES of turbulent flow in a square duct, and the effects of grid resolution, upwind numerical dissipation, and subgrid-scale dissipation on the accuracy of the LES are examined. Comparison with DNS results shows that the standard Roe FDS adversely affects the accuracy of the turbulence simulation. For accurate turbulence simulations, only 3–5% of the standard Roe FDS dissipation is needed.