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SPH-epsilon simulation of 2D turbulence driven by a moving cylinder

机译：移动缸驱动的2D湍流SPH-epsilon模拟

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摘要

The aim of this paper is to describe how effectively a turbulence model for the particle method SPH (Monaghan 2011 denoted by SPH-epsilon) simulates 2D turbulence driven by a moving cylinder inside a square box with no-slip walls. The model makes few assumptions, conserves linear and angular momentum, satisfies a discrete version of Kelvin's circulation theorem and is computationally efficient. Furthermore, the results from the model for decaying two dimensional turbulence are in good agreement with the experimental and computational results. The SPH turbulence model is based on a Lagrangian similar to that used for the Lagrangian averaged Navier-Stokes (LANS) turbulence model, but with a different smoothed velocity. The smoothed velocity preserves the shape of the spectrum of the unsmoothed velocity for short length scales, but reduces its magnitude by an amount which depends on a parameter epsilon, where 0 <= epsilon <= 1. When epsilon = 0, there is no smoothing, and when epsilon = 1 the smoothing is a maximum. We compare calculations with resolution given by the Reynolds length l(R) and those using SPH-epsilon with epsilon = 0.8, and a coarser resolution 2l(R). The second and fourth order velocity correlation functions, the energy spectrum and the mixing calculated using SPH-epsilon and the coarse resolution 2l(R), are in good agreement with those using the resolution l(R), but requires 8 times less work to integrate to the same time. The mixing induced by the turbulence is in good agreement with high resolution calculations. Crown Copyright (C) 2017 Published by Elsevier Masson SAS. All rights reserved.
机译：本文的目的是描述粒子方法SPH的湍流模型有效（由SPS-epsilon表示的Monaghan 2011）模拟由带防滑壁的方框内的移动气缸驱动的2D湍流。该模型的假设很少，节省线性和角动量，满足凯尔文循环定理的离散版本，并计算效率。此外，衰减二维湍流模型的结果与实验和计算结果吻合良好。 SPH湍流模型基于Lagrangian，类似于用于拉格朗日平均的Navier-Stokes（LAN）湍流模型，但具有不同的平滑速度。平滑的速度保留了短长度尺度的无精细速度范围的形状，但通过依赖于参数epsilon的量来降低其幅度，其中0 <= epsilon <= 1.当epsilon = 0时，没有平滑，当epsilon = 1时，平滑是最大的。我们将通过雷诺长度L（r）给出的分辨率和使用spsilon与epsilon = 0.8的分辨率进行比较，以及较粗糙的分辨率2l（r）。使用SPH-epsilon和粗略分辨率2L（R）计算的第二和第四阶速度相关函数，能量谱和混合与使用分辨率L（R）的人吻合良好，但需要少8倍整合到同时。湍流引起的混合与高分辨率计算良好。皇冠版权（c）2017由Elsevier Masson SA发表。版权所有。

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