The energy transfer and dissipation as well as the turbulent structures in a lid-driven cavity flow with porous walls are investigated via the lattice Boltzmann method, with direct numerical simulation (DNS) for an isothermal incompressible flow for which the Reynolds number (Re) is 50 000. A generalized Navier-Stokes equation with the Brinkman-Forchheimer-extended Darcy model is implemented, in which the presence of permeable walls is taken into account. This study focuses on the modulations of the flow field due to porous walls, by comparing with the results from the cavity flow bounded with smooth walls. Firstly, we derived the exact expression of the kinetic energy dissipation rate in a cavity to study the budget balance of the induced and dissipated kinetic energy. By decomposing the total kinetic energy dissipation into the componential contributions of the viscous and porous medium layer, we found that the kinetic energy dissipated in the thin porous layer occupies 37% of the total driven lid-induced kinetic energy in the present parameters. Then we found that the time-averaged kinetic energy, turbulent kinetic energy (TKE), as well as the strength of the large-scale energy-containing eddy, and secondary eddies are significantly attenuated. Furthermore, it is found that the momentum and kinetic energy transfer near the corners are vastly decreased. Finally, the space-time velocity correlation functions are also provided to examine the decorrelation property of small eddies by means of convection and distortion motions in the cavity turbulent field.

通过格子玻尔兹曼方法研究了具有多孔壁的盖驱动腔流中的能量传递和耗散以及湍流结构，对等温不可压缩流的直接数值模拟 (DNS) 的雷诺数 ( Re) 是 50 000。使用 Brinkman-Forchheimer-extended Darcy 模型实现了广义 Navier-Stokes 方程，其中考虑了渗透壁的存在。通过与以光滑壁为边界的空腔流的结果进行比较，本研究侧重于由多孔壁引起的流场调制。首先，我们推导了腔内动能耗散率的精确表达式，以研究诱导动能和耗散动能的收支平衡。通过将总动能耗散分解为粘性多孔介质层的分量贡献，我们发现在当前参数中，薄多孔层中耗散的动能占总驱动盖诱导动能的 37%。然后我们发现时间平均动能，湍动能 (TKE) 以及大尺度含能涡流的强度和二次涡流显着衰减。此外，发现拐角附近的动量和动能传递大大减少。最后，还提供了时空速度相关函数，通过腔湍流场中的对流和畸变运动来检验小涡流的去相关特性。