论文标题
一种有效的热晶格玻尔兹曼方法,用于模拟三维液相变化
An efficient thermal lattice Boltzmann method for simulating three-dimensional liquid-vapor phase change
论文作者
论文摘要
在本文中,开发了一种基于假势模型的三维(3D)液体蒸气相变变的多余时间晶格玻尔兹曼(LB)方法。与某些现有的液态蒸气相变变的现有3D热LB模型相反,目前的方法具有两个优点:一方面,当前方法不需要计算体积热容量的梯度[即$ \ nabla \ weft({p p {ρ{c_v}}}}}} \ right),以及在另一种方法上,三个dict在三个dicit中,该方法是构建的。 (D3Q7),使当前的热LB模型更加高效且易于实现。同样,基于周和他[物理流体9:1591-1598,1997]提出的方案,提出了D3Q19晶格的压力边界条件,以模拟开放系统中的多相流。然后,通过考虑3D饱和液体蒸气系统,$ d^2 $定律和加热表面上的液滴蒸发来验证当前方法。可以观察到数值结果非常符合分析溶液,有限差异方法的结果和实验数据。我们的数值结果表明,目前的方法在处理3D液相变化方面是可靠和有效的。
In this paper, a multiple-relaxation-time lattice Boltzmann (LB) approach is developed for the simulation of three-dimensional (3D) liquid-vapor phase change based on the pseudopotential model. In contrast to some existing 3D thermal LB models for liquid-vapor phase change, the present approach has two advantages: for one thing, the current approach does not require calculating the gradient of volumetric heat capacity [i.e., $\nabla \left( {ρ{c_v}} \right)$], and for another, the current approach is constructed based on the seven discrete velocities in three dimensions (D3Q7), making the current thermal LB model more efficient and easy to implement. Also, based on the scheme proposed by Zhou and He [Phys Fluids 9:1591-1598, 1997], a pressure boundary condition for the D3Q19 lattice is proposed to model the multiphase flow in open systems. The current method is then validated by considering the temperature distribution in a 3D saturated liquid-vapor system, the $d^2$ law and the droplet evaporation on a heated surface. It is observed that the numerical results fit well with the analytical solutions, the results of the finite difference method and the experimental data. Our numerical results indicate that the present approach is reliable and efficient in dealing with the 3D liquid-vapor phase change.