A novel implementation route of the wall-function method to the lattice Boltzmann method (LBM) is proposed to extend the applicability of the LBM for high Reynolds number turbulent heat transfer in complex geometries. The proposed immersed virtual wall method assumes the virtual wall layer beneath the wall which satisfies the slip wall conditions allowing the subsurface heat and fluid flows within the solid wall. For the validation tests, the D3Q27 multiple-relaxation-time LBM and D3Q19 regularized LBM are used to simulate flow and scaler fields, respectively, and the standard log-law based wall-function method is used. Validation tests against turbulent flows in a two-dimensional channel, circular pipe, channel with two-dimensional constraints confirm that the developed method can deal with complex curvilinear walls and yield grid independent solution with satisfactory accuracy. In addition, the developed method can be applied from partially to highly underresolved conditions, and has a great potential in predicting high Prandtl number flows.

提出了壁函数法到格子玻尔兹曼法（LBM）的一种新的实现途径，以扩展LBM在复杂几何中用于高雷诺数湍流传热的适用性。拟议的沉浸式虚拟墙方法假设墙下的虚拟墙层满足滑移墙条件，从而允许地下热量和流体在固体墙内流动。对于验证测试，分别使用D3Q27多重松弛时间LBM和D3Q19正则化LBM来模拟流场和缩放器场，并使用基于标准对数律的墙函数法。对二维通道，圆形管道中的湍流进行验证测试，具有二维约束的河道证实了该方法能够处理复杂的曲线墙并产生网格独立的解，具有令人满意的精度。另外，所开发的方法可以从部分应用到高度未解决的条件，并且在预测高普朗特数流量方面具有巨大潜力。