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On discretization errors and subgrid scale model implementations in large eddy simulations

机译:大涡模拟中离散化误差和子网格规模模型的实现

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We analyze the impact of discretization errors on the performance of the Smagorinsky model in large eddy simulations (LES). To avoid difficulties related to solid boundaries, we focus on decaying homogeneous turbulence. It is shown that two numerical implementations of the model in the same finite volume code lead to significantly different results in terms of kinetic energy decay, time evolutions of the viscous dissipation and kinetic energy spectra. In comparison with spectral LES results, excellent predictions are however obtained with a novel formulation of the model derived from the discrete Navier-Stokes equations. We also highlight the effect of discretization errors on the measurement of physical quantities that involve scales close to the grid resolution.
机译:我们分析了离散误差对大涡模拟(LES)中Smagorinsky模型性能的影响。为了避免与固体边界有关的困难,我们集中于衰减均匀湍流。结果表明,在相同的有限体积代码中,模型的两个数值实现方式导致动能衰减,粘性耗散的时间演化和动能谱方面的结果明显不同。与频谱LES结果相比,通过离散Navier-Stokes方程派生的模型的新公式可得到出色的预测。我们还强调了离散误差对涉及接近网格分辨率的比例的物理量测量的影响。

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