论文标题
大密度比两相流的熵多释放时间晶格玻尔兹曼模型
Entropic multi-relaxation-time lattice Boltzmann model for large density ratio two-phase flows
论文作者
论文摘要
我们提出了我们在早期作品Arxiv中引入的两相流量晶格玻尔兹曼模型的多个放松时间熵实现：2112.01975 S.A. Hosseini，B。Dorschner和I. V. Karlin，Arxiv Preprint，Arxiv，Arxiv，Arxiv：2112.01975（20221）。尽管具有单个松弛时间的原始模型使我们达到了较大的密度比，但相对于非量纲粘度和courant-friedrichs，它在稳定性方面受到限制。在这里，我们表明，熵多重放松时间模型大大扩展了模型的稳定性限制，这使我们能够达到给定的网格分辨率的较大雷诺数。首先使用简单的配置研究了使用状态的peng-robinson方程的求解器的热力学特性。界面厚度和表面张力的共存密度和温度缩放均与理论非常吻合。然后，该模型用于模拟液滴对与二-D和3-D中的水和空气相匹配的液体薄膜的影响。结果与理论上预测的缩放定律和实验数据非常吻合。
We propose a multiple relaxation time entropic realization of a two-phase flow lattice Boltzmann model we introduced in earlier works arXiv:2112.01975 S.A. Hosseini, B. Dorschner, and I. V. Karlin, arXiv preprint, arXiv:2112.01975 (2021). While the original model with a single relaxation time allows us to reach large density ratios, it is limited in terms of stability with respect to non-dimensional viscosity and Courant--Friedrichs--Lewy number. Here we show that the entropic multiple relaxation time model extends the stability limits of the model significantly, which allows us to reach larger Reynolds numbers for a given grid resolution. The thermodynamic properties of the solver, using the Peng--Robinson equation of state, are studied first using simple configurations. Co-existence densities and temperature scaling of both the interface thickness and the surface tension are shown to agree well with theory. The model is then used to simulate the impact of a drop onto a thin liquid film with density and viscosity ratios matching those of water and air both in 2-D and 3-D. The results are in very good agreement with theoretically predicted scaling laws and experimental data.
