本文以晶格波茲曼法結合局部網格加密模擬紊流平板流。局部網格加密以
動黏滯係數與剪應力在不同系統的網格間應該連續為原則並探討不同網格大小
間的外力項轉換。為了加速模擬，使用訊息傳遞介面結合圖形顯示卡叢集進行
平行運算，可大幅節省時間。本文以D3Q19 多鬆弛模型與局部網格加密分別模
擬Reτ = 180, 395, 和640 的平板流來驗證本文所提出的方法。在主流場平均速
度、紊流強度、雷諾應力與紊流能量收支所得到的模擬結果與均與benchmark
有相匹配的結果。本文最後針對多張圖型顯示卡與平行效率進行討論。

In this study, the local grid refinement method is applied to tackle wall-bounded
channel flows. The local grid refinement method is based on the continuity of
kinematic viscosity and shear stress. The rescaling of the external force is also
considered between different mesh systems. The D3Q19 multi-relaxation-time LBM
with the local grid refinement model that was implemented on the graphics processing
units is found to be suitable for massive computation. To validate the method, the
turbulent channel flows are simulated with the friction Reynolds numbers set as
Re = 180; 395, and 640, respectively. The streamwise mean velocity, turbulent
intensity, Reynolds stress, and turbulent kinematic budget are revealed. The results
show strong agreement between the present model and the benchmark solutions. The
parallel performance for the strong scaling test is also discussed.

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