Under-resolved direct numerical simulations of turbulence in the wake of a single-square-grid (SSG) are conducted using the lattice-Boltzmann method (LBM), with varying degrees of partial moment entropic stabilisation. Turbulence statistics along the grid centreline show satisfactory agreement with literature, greatly outperforming a control study employing the single-relaxation-time Smagorinsky LES model with equivalent resolution. The coarse-resolution entropic LBM simulations are able to capture the qualitative behaviour of the anisotropic and non-homogeneous​ turbulence generated by the SSG, indicating possible extension of the capability of the entropic lattice-Boltzmann method to simulate more exotic forms of turbulence beyond those reported by the majority of current studies. However, in the extreme near field of the single-square-grid, pseudo-compressibility effects, even at a low lattice Mach number, undermine LBM predictions for turbulence which is generated by action of the pressure Hessian — this is found to be an issue for all models studied, and not a numerical artefact of the entropic stabilisation. With regard to the action of the entropic stabiliser, a comparison of models employing differing degrees of stabilisation on higher-order natural moments suggest that the trace of the stress tensor should not be subject to entropic control for better accuracy in turbulence prediction.

使用格-玻尔兹曼方法（LBM）进行了单方格网（SSG）尾流湍流的欠解析直接数值模拟，具有不同程度的部分矩熵稳定度。沿网格中心线的湍流统计数据与文献显示令人满意的一致性，大大优于采用单弛豫时间Smagorinsky LES模型且分辨率相同的对照研究。粗分辨率熵LBM模拟能够捕获SSG产生的各向异性湍流和非均匀湍流的定性行为，表明熵格-玻尔兹曼方法的能力可能得到扩展，以模拟除那些之外的更奇特的湍流形式目前大多数研究报道。但是，在单格网的极端近场中，伪可压缩性的影响，即使在低的马赫数下，也破坏了由压力Hessian作用产生的湍流的LBM预测-这对于所有研究的模型都是一个问题，而不是熵稳定的数值伪像。关于熵稳定器的作用，在高阶自然矩上采用不同稳定度的模型的比较表明，应力张量的迹线不应受熵控制，以提高湍流预测的准确性。