On the performance of WENO/TENO schemes to resolve turbulence in DNS/LES of high‐speed compressible flows
On the performance of WENO/TENO schemes to resolve turbulence in DNS/LES of high‐speed compressible flows
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DOI：
10.1002/fld.4879
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发表时间：
2020-08
影响因子：
1.8
通讯作者：
A. Hamzehloo;D. J. Lusher;S. Laizet;N. Sandham
中科院分区：
文献类型：
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作者：
A. Hamzehloo;D. J. Lusher;S. Laizet;N. Sandham
高速可压缩湍流通常包含不连续性，并且由于其高阶精度和敏锐的冲击捕获能力，已广泛使用加权本质非振荡（WENO）方案进行建模。然而，此类方案可能会抑制小规模的湍流，并导致湍流解析模拟中的解不准确。在这方面，最近开发的目标本质上非振荡（TENO）方案，包括自适应变体，可能会带来显着的改进。本研究旨在量化这些新方案对于全湍流超音速流的潜力。具体来说，使用高阶有限差分计算流体动力学框架 OpenSBLI 对 M = 1.5 和 Reτ = 222 的可压缩湍流通道流进行 DNS 分析。选择这种流动配置是为了消除流动不连续性和湍流的影响，并重点关注上述高阶方案解决湍流结构的能力。还针对 WALE LES 模型评估了不同方向的空间分辨率和粗网格隐式 LES 的影响。研究发现 TENO 方案在统计精度和三维涡旋结构的分辨率方面比 WENO 方案表现出显着的性能改进。发现六阶自适应 TENO 方案产生的结果与非耗散四阶和六阶中心方案以及谱方法获得的参考数据相当。尽管是计算成本最高的方案，但事实证明，如果用作隐式 LES 模型，这种自适应方案可以产生令人满意的结果。
High‐speed compressible turbulent flows typically contain discontinuities and have been widely modeled using Weighted Essentially Non‐Oscillatory (WENO) schemes due to their high‐order accuracy and sharp shock capturing capability. However, such schemes may damp the small scales of turbulence and result in inaccurate solutions in the context of turbulence‐resolving simulations. In this connection, the recently developed Targeted Essentially Non‐Oscillatory (TENO) schemes, including adaptive variants, may offer significant improvements. The present study aims to quantify the potential of these new schemes for a fully turbulent supersonic flow. Specifically, DNS of a compressible turbulent channel flow with M = 1.5 and Reτ = 222 is conducted using OpenSBLI, a high‐order finite difference computational fluid dynamics framework. This flow configuration is chosen to decouple the effect of flow discontinuities and turbulence and focus on the capability of the aforementioned high‐order schemes to resolve turbulent structures. The effect of the spatial resolution in different directions and coarse grid implicit LES are also evaluated against the WALE LES model. The TENO schemes are found to exhibit significant performance improvements over the WENO schemes in terms of the accuracy of the statistics and the resolution of the three‐dimensional vortical structures. The sixth‐order adaptive TENO scheme is found to produce comparable results to those obtained with nondissipative fourth‐ and sixth‐order central schemes and reference data obtained with spectral methods. Although the most computationally expensive scheme, it is shown that this adaptive scheme can produce satisfactory results if used as an implicit LES model.