适用于多组分液-气质量传递的高分辨率守恒VOF方法：气泡溶解与液滴蒸发
A Sharp and Conservative VOF Method for Multicomponent Liquid--Gas Mass Transfer: Bubble Dissolution and Droplet Evaporation
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中文总结 AI 辅助
本文提出一种高分辨率守恒VOF-有限体积法，用于求解多组分液-气质量传递问题，经多类算例验证，该方法精度达二阶，可准确预测界面通量、保证质量能量守恒，还能捕捉复杂多组分效应。
中文摘要 AI 辅助
本文提出一种适用于可变形界面间多组分液-气质量传递的高分辨率几何VOF（Volume of Fluid）-有限体积法。该方法可求解多组分通过界面质量平衡、潜热交换及气液平衡耦合的问题。核心创新在于对输运量的全尖锐两相处理：在液相与气相中分别求解组分方程与温度方程，通过嵌入边界离散化将组分的单侧Robin条件与温度的双侧通量跃变直接施加于重构界面，避免了界面源项的体积正则化及基于前一时间步界面数据的显式耦合。该方法采用一致几何平流方案处理体积、动量、能量及组分输运，并开发了序贯耦合策略以确定部分界面质量通量、封闭温度方程及更新热力学平衡状态。通过单组分与多组分气泡溶解、单组分液滴蒸发、非理想乙醇-异辛烷液滴蒸发及悬垂水-甘油液滴蒸发对该方法进行验证，结果表明其具有二阶精度、准确的界面通量预测能力、良好的质量与能量守恒性，且能捕捉气体置换、共沸挥发性反转、组分驱动的马兰戈尼流等复杂多组分效应。
英文摘要
We present a sharp and conservative geometrical VOF--finite-volume method for multicomponent liquid--gas mass transfer across deformable interfaces. The method solves problems in which multiple species are coupled through interfacial mass balances, latent-heat exchange, and vapor--liquid equilibrium. The key novelty is a fully sharp two-field treatment of scalar transport: the species and temperature equations are solved separately in the liquid and gas phases, while the one-sided Robin conditions for species and the two-sided flux jump for temperature are imposed directly on the reconstructed interface through an embedded-boundary discretization. This avoids both volumetric regularization of interfacial source terms and explicit coupling based on previous-time-step interfacial data. A consistent geometrical advection scheme is used for volume, momentum, energy, and species transport, and a sequential coupling strategy is developed to determine the partial interfacial mass fluxes, close the temperature equation, and update the thermodynamic-equilibrium state. The method is validated through single- and multicomponent bubble dissolution, single-component droplet evaporation, non-ideal ethanol--isooctane droplet evaporation, and sessile water--glycerol droplet evaporation. The results demonstrate second-order accuracy, accurate interfacial flux prediction, good mass and energy conservation, and the ability to capture complex multicomponent effects such as gas replacement, azeotropic volatility reversal, and composition-driven Marangoni flow.
