不同格子Boltzmann模型在毛细管流动模拟中的应用

格子Boltzmann方法(LBM)在孔隙尺度流动模拟方面具有模型简洁、易于并行计算的优势，对于不同类型的流动状态，相应的理论LBM模型被提出，但理论模型的适用性和准确性仍待研究。针对流体在孔隙尺度层面上的等温不可压缩流动，采用不同的LBM模型进行了建模、编程，计算了单相流体在毛细管中的流动，并将计算结果与对应解析解进行了对比，分析了不同LBM数值模型的数值精度和稳定性。结果表明，在模拟孔隙尺度层面，对于毛细管定常流动，Zou-Hou模型的模拟结果与解析解吻合度及稳定性最高；但在模拟非定常流动问题时，Zou-Hou模型无法求解，应优先考虑He-Luo模型。研究结果为多孔介质流动模拟技术的适用性评价和模型优选提供技术参考。

Application of different lattice Boltzmann models in the simulation of capillary flow

Lattice Boltzmann method (LBM) has the advantages of simple model, easy programming and parallel computation when it is used to simulate pore-scale flow. As for each type of flow, the corresponding theoretical LBM models are put forward, but the applicability and validity of LBM model is still to be further studied. In view of the isothermal incompressible flow of fluid in the pore scale, different LBM models were adopted for modeling and programming. Then, the flow of single-phase fluid in the capillary tube was calculated, and the calculation results were compared with the corresponding analytical solutions. Finally, the numerical accuracy and stability of different LBM numerical models were analyzed. It is indicated that to simulate the steady flow in the capillary tube in the pore scale, the simulation result of Zou-Hou model is the most stable and the best coincident to the analytical solution. To simulate the unsteady flow, however, the Zou-Hou model cannot get the solution, so the priority shall be given to the He-Luo model. The research results provide the reference for applicability evaluation and model selection of porous medium flow simulation technologies.