标题： 一种新的液-汽相变热格子玻尔兹曼模型 显示英文标题

标题： A new thermal lattice Boltzmann model for liquid-vapor phase change

摘要： 本文采用格子玻尔兹曼方法求解液-汽相变问题。通过修改温度演化方程的碰撞项，构建了一个新的热格子玻尔兹曼模型。与先前的研究相比，本方法最显著的特点是可以避免计算温度的拉普拉斯项 [$\nabla \cdot \left( {\kappa \nabla T} \right)$] 和热容梯度项 [$\nabla \left( {\rho {{\rm{c}}_v}} \right)$]。此外，由于本方法采用了简单的线性平衡分布函数，可以使用二维情况下的D2Q5格子，这比以往通常限制在D2Q9格子的方法更为高效。该方法首先通过对开放空间中的液滴蒸发和加热表面上的液滴蒸发问题进行验证，数值结果与解析结果和有限差分法的结果吻合良好。然后将其用于模拟核沸腾问题，得到的脱离气泡直径与重力加速度之间的关系与已报道的工作吻合得很好。 显示英文摘要

摘要： The lattice Boltzmann method is adopted to solve the liquid-vapor phase change problems in this article. By modifying the collision term for the temperature evolution equation, a new thermal lattice Boltzmann model is constructed. As compared with previous studies, the most striking feature of the present approach is that it could avoid the calculations of both the Laplacian term of temperature [$\nabla \cdot \left( {\kappa \nabla T} \right)$] and the gradient term of heat capacitance [$\nabla \left( {\rho {{\rm{c}}_v}} \right)$]. In addition, since the present approach adopts a simple linear equilibrium distribution function, it is possible to use the D2Q5 lattice for the two dimensional cases consided here, making it is more efficiency than previous works in which the lattice is usually limited to the D2Q9. This approach is firstly validated by the problems of droplet evaporation in open space and adroplet evaporation on heated surface, and the numerical results show good agreement with the analytical results and the finite difference method. Then it is used to model nucleate boiling problem, and the relationship between detachment bubble diameter and gravity acceleration obtained with the present approach fits well with the reported works.