ABSTRACT The sensitivity of a large range of turbulence closures to the near-wall grid resolution is assessed through analytical and numerical techniques. We determine model boundedness, limiting behaviour, and solution dependence of channel flow simulations to the near-wall cell size . The sensitivity of present simulations to is strongly dependent on the choice of scale determining variable; and based models can lead to friction velocity errors of 1.5% and 4.74% at , the latter due to the singular behaviour of close to the wall. Here this is mitigated by adopting mathematically equivalent , or models, which reduce errors by an order of magnitude to at . The model is insensitive to motivating a new closure with updated coefficients and a cross diffusion term, with the aim to ensure its applicability to a wider range of flows.

中文翻译：

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壁上的数值误差：关于 RANS 模型对近壁单元尺寸的敏感性

摘要 通过分析和数值技术评估了大范围湍流闭合对​​近壁网格分辨率的敏感性。我们确定模型有界、限制行为和通道流动模拟对近壁单元尺寸的解决方案依赖性。当前模拟的敏感性很大程度上取决于尺度决定变量的选择；和基于模型的摩擦速度误差分别为 1.5% 和 4.74%，后者是由于靠近壁的奇异行为。在这里，这可以通过采用数学上等效的 或模型来缓解，这些模型将误差减少一个数量级到 at 。该模型对用更新的系数和交叉扩散项激励新的闭包不敏感，目的是确保其适用于更广泛的流量。