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首页> 外文期刊>Computational Mechanics >An algebraic variational multiscale-multigrid method for large-eddy simulation: generalized-α time integration, Fourier analysis and application to turbulent flow past a square-section cylinder
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An algebraic variational multiscale-multigrid method for large-eddy simulation: generalized-α time integration, Fourier analysis and application to turbulent flow past a square-section cylinder

机译：大涡模拟的代数变分多尺度多重网格方法：广义α时间积分，傅立叶分析及在流经方形圆柱的湍流中的应用

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摘要

This article studies three aspects of the recently proposed algebraic variational multiscale-multigrid method for large-eddy simulation of turbulent flow. First, the method is integrated into a second-order-accurate generalized-α time-stepping scheme. Second, a Fourier analysis of a simplified model problem is performed to assess the impact of scale separation on the overall performance of the method. The analysis reveals that scale separation implemented by projective operators provides modeling effects very close to an ideal small-scale subgrid viscosity, that is, it preserves low frequencies, in contrast to non-projective scale separations. Third, the algebraic variational multiscale-multigrid method is applied to turbulent flow past a square-section cylinder. The computational results obtained with the method reveal, on the one hand, the good accuracy achievable for this challenging test case already at a rather coarse discretization and, on the other hand, the superior computing efficiency, e.g., compared to a traditional dynamic Smagorinsky modeling approach.
机译：本文研究了最近提出的代数变分多尺度多网格方法的三个方面，用于湍流的大涡模拟。首先，将该方法集成到一个二阶精确的广义α时间步长方案中。其次，对简化模型问题进行傅立叶分析，以评估水垢分离对方法总体性能的影响。分析表明，由投影算子执行的水垢分离提供的建模效果非常接近理想的小规模子网格粘度，即与非投影水垢分离相比，它保留了低频。第三，将代数变分多尺度多重网格方法应用于流经方形截面圆柱体的湍流。通过该方法获得的计算结果，一方面表明，在相当粗略的离散化条件下，对于具有挑战性的测试案例而言，可以实现良好的精度；另一方面，例如，与传统的动态Smagorinsky建模相比，其计算效率更高。方法。

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