论文标题
精确的保守相位方法，用于模拟两相流
Accurate conservative phase-field method for simulation of two-phase flows
论文作者
论文摘要
在这项工作中，我们提出了一个新型的相位模型，以模拟两相流，该模型是准确，保守，有限和健壮的。所提出的模型可以保存每个阶段的质量，并导致体积分数的界限。我们介绍了降低对流和剪切流量下降的规范测试案例的结果，显示出与常用的保守相位场方法相比，准确性的显着提高。 此外，提出的模型施加了较小的限制性库兰德里奇（Courant-Friedrichs-Lewy）条件，因此，与其他保守的相位模型相比，它的限制性较低。我们还提出了对表面张力力计算的改进，并表明所提出的改进显着降低了界面处的虚假速度的幅度。 我们还为提出的相位场模型得出了一个一致且保守的动量传输方程，并表明，与一致的动量传输方程相结合时，所提出的模型会导致动能的离散保守，这是不可压缩流的数值稳定性的足够条件，在缺乏耗散机制的情况下。为了说明该方法在模拟高密度比率湍流两相流中的鲁棒性，我们介绍了在有限和无限雷诺数下的高密度比率液滴液滴的各向同性湍流的数值模拟。
In this work, we propose a novel phase-field model for the simulation of two-phase flows that is accurate, conservative, bounded, and robust. The proposed model conserves the mass of each of the phases, and results in bounded transport of the volume fraction. We present results from the canonical test cases of a drop advection and a drop in a shear flow, showing significant improvement in the accuracy over the commonly used conservative phase-field method. Moreover, the proposed model imposes a lesser restrictive Courant-Friedrichs-Lewy condition, and hence, is less expensive compared to other conservative phase-field models. We also propose improvements on computation of surface tension forces and show that the proposed improvement significantly reduces the magnitude of spurious velocities at the interface. We also derive a consistent and conservative momentum transport equation for the proposed phase-field model and show that the proposed model when coupled with the consistent momentum transport equation results in discrete conservation of kinetic energy, which is a sufficient condition for the numerical stability of incompressible flows, in the absence of dissipative mechanisms. To illustrate the robustness of the method in simulating high-density ratio turbulent two-phase flows, we present the numerical simulations of high-density ratio droplet-laden isotropic turbulence at finite and infinite Reynolds numbers.
