On the accuracy of high-order discretizations for underresolved turbulence simulations
On the accuracy of high-order discretizations for underresolved turbulence simulations
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DOI：
10.1007/s00162-011-0253-7
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发表时间：
2013-06-01
影响因子：
3.4
通讯作者：
Beck, Andrea D.
中科院分区：
文献类型：
--
作者：
Gassner, Gregor J.;Beck, Andrea D.
在本文中，我们研究了用于湍流粗分辨率模拟的高阶不连续伽辽金离散化的准确性。我们表明，低阶近似会表现出不可接受的数值离散化误差，而在这些情况下，高阶离散化的简单应用通常会由于混叠而不稳定。因此，对于未解决的湍流的高阶模拟，适当的稳定对于成功的计算是必要的。选择了两种不同的机制，并研究了它们对湍流欠解析高阶计算精度的影响。将泰勒-格林涡问题的这些近似结果与文献中的直接数值模拟结果进行比较。我们的研究结果表明，即使对于这些粗略解析的计算，高阶近似的优异离散化特性也得以保留。
In this paper, we investigate the accuracy of a high-order discontinuous Galerkin discretization for the coarse resolution simulation of turbulent flow. We show that a low-order approximation exhibits unacceptable numerical discretization errors, whereas a naive application of high-order discretizations in those situations is often unstable due to aliasing. Thus, for high-order simulations of underresolved turbulence, proper stabilization is necessary for a successful computation. Two different mechanisms are chosen, and their impact on the accuracy of underresolved high-order computations of turbulent flows is investigated. Results of these approximations for the Taylor-Green Vortex problem are compared to direct numerical simulation results from literature. Our findings show that the superior discretization properties of high-order approximations are retained even for these coarsely resolved computations.