We present a novel methodology for accurate treatment of viscous terms in evaporation problems. The proposed scheme is an extension of the sharp viscous treatment of Kang et al. (2000) [7] to 3D phase change problems. To ensure accuracy and grid converging solutions, a new implicit approach to computing viscous fluxes across the phase interfaces is proposed, which was previously unavailable in fixed grid numerical schemes. Analytical relations were derived for the jump in velocity gradients across the 2D and 3D phase interfaces, an important constituent of the proposed scheme. The relations show a non-vanishing jump in the tangential gradients across the phase interface that are associated with evaporative flux and interfacial curvature. The proposed methodology demonstrated first order accuracy in canonical test cases. It is general and applicable to arbitrarily oriented interfaces, and can be readily implemented in existing evaporation flow solvers.

我们提出了一种新颖的方法来精确处理蒸发问题中的粘性项。所提出的方案是对Kang等人的急剧粘性治疗的扩展。（2000）[7]提出3D相变问题。为了确保精度和网格收敛解，提出了一种新的隐式方法来计算跨相界面的粘性通量，该方法以前在固定网格数值方案中不可用。推导了跨2D和3D相界面的速度梯度跃变的解析关系，这是所提出方案的重要组成部分。该关系式显示出与蒸发通量和界面曲率有关的相界面上的切线梯度不消失。所提出的方法论证了规范测试案例中的一阶准确性。