AI 中文总结
研究从波粒分解推导波粒湍流模拟（WPTS）完整模型方程，耦合壁面模型扩展其适用性，在粗网格上准确预测平板转捩，计算结果与直接数值模拟数据吻合良好，优于气体动力学格式，凸显WPTS在转捩流模拟中的潜力。
AI 中文摘要
最近，波粒湍流模拟（WPTS）作为一种用于非平衡湍流建模和模拟的新框架被提出。在这项工作中，首次从波粒分解的角度明确推导了WPTS的完整模型方程，并清楚地解释了每个项的物理机制。为将其应用扩展到壁面流动，开发了与壁面模型耦合的WPTS，引入壁面模型大大减轻了近壁网格分辨率约束。在主体区域，波分量解析大尺度结构，粒子分量通过非平衡传输机制进行亚网格尺度建模。结果，该耦合方法能在粗网格上准确预测平板转捩。特别是，完全湍流区域计算的皮肤摩擦系数和平均速度剖面与直接数值模拟的参考数据吻合良好，精度明显优于相同网格下的气体动力学格式（GKS）。这些发现凸显了多尺度WPTS方法在转捩流模拟中的巨大潜力。
英文摘要
Recently, the wave-particle turbulence simulation (WPTS) has been proposed as a novel framework for non-equilibrium turbulence modeling and simulation. In this work, for the first time the complete model equations of WPTS are explicitly derived from the perspective of wave-particle decomposition, and the physical mechanism of each term is clearly interpreted. To extend its applicability to wall-bounded flows, the WPTS coupled with wall model is developed, and the introduction of wall model substantially alleviates the near-wall grid-resolution constraint. In the bulk region, the wave component resolves the large-scale structures, whereas the particle component accounts for subgrid-scale modeling through the non-equilibrium transport mechanism. As a result, the coupled method enables accurate predictions of the flat-plate transition on coarse-grid. In particular, the computed skin-friction coefficient and mean velocity profiles in the fully turbulent region agree well with the reference data from direct numerical simulation, and the accuracy is markedly superior to that of the gas-kinetic scheme (GKS) under the identical grid. These findings underscore the considerable promise of the multi-scale WPTS method for transitional flow simulations.
