How much eddy dissipation is needed to counterbalance the nonlinear production of small, unresolved scales in a large-eddy simulation of turbulence?
How much eddy dissipation is needed to counterbalance the nonlinear production of small, unresolved scales in a large-eddy simulation of turbulence?
复制标题
需要多少涡流耗散来平衡湍流大涡流模拟中未解决的小尺度的非线性产生？
DOI：
10.1016/j.compfluid.2016.12.016
复制
发表时间：
2016
影响因子：
2.8
通讯作者：
R. Verstappen
中科院分区：
文献类型：
--
作者：
R. Verstappen
这篇文章是关于湍流的大涡模拟模型，它通过确保不从大的、可分辨的涡流中获得能量来截断无法获得数值分辨率的小运动尺度。分辨率的比例是通过框过滤器来定义的。涡流耗散的确定方式是，抵消过小的盒装比例的产生。这种耗散-生产平衡是利用庞加莱的S不等式计算出来的，这导致了一个依赖于速度梯度不变量的条件。如果滤波器盒是各向异性的，则应按比例调整截断条件，以便以正确的方式说明各向异性。将定标截断条件应用于涡粘性模型。该模型是离散化的，并配备了舒曼过滤器。它成功地测试了均匀湍流和湍流槽道流动。
This paper is about models for large-eddy simulation of turbulent flow that truncate the small scales of motion for which numerical resolution is not available by making sure that they do not get energy from the larger, resolved, eddies. The resolved scales are defined with the help of a box filter. The eddy dissipation is determined in such a way that the production of too small, box-fitting, scales is counteracted. This dissipation-production balance is worked out with the help of Poincaré’s inequality, which results in a condition that depends on the invariants of the velocity gradient. If the filter box is anisotropic the truncation condition is to be scaled in order to account for the anisotropy in the right way. The scaled truncation condition is applied to an eddy-viscosity model. This model is discretized and equipped with a Schumann filter. It is successfully tested for homogeneous turbulence as well as for turbulent channel flow.