Abstract We present a new compressive scheme to simulate species transfer across fluid interfaces using the Volume-Of-Fluid method. We show that at high Peclet numbers, the standard Continuous Species Transfer (CST) generates large numerical diffusion in the phase concentration that can lead to inaccurate simulation of interface exchanges in a two-phase system. To solve this issue, the derivation of the concentration advection flux is revisited. We obtain an additional compressive term in the species concentration equation. This novel approach is labelled Compressive CST approach (C-CST). The method and the input of the compressive term are validated by comparison with analytical solutions of two-phase flow and species transport in a 1D tube. The C-CST approach reduces significantly the numerical errors. Then, the approach is used to investigate and upscale species transfer during drainage in 2D porous media.

中文翻译：

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使用流体体积法模拟跨流体界面的物质传递的新压缩方案

摘要 我们提出了一种新的压缩方案，以使用流体体积法模拟跨流体界面的物质传递。我们表明，在高 Peclet 数下，标准连续物种转移 (CST) 会在相浓度中产生大量数值扩散，这可能导致两相系统中界面交换的模拟不准确。为了解决这个问题，重新考虑了浓度平流通量的推导。我们在物质浓度方程中获得了一个额外的压缩项。这种新颖的方法被称为压缩 CST 方法 (C-CST)。该方法和压缩项的输入通过与一维管中两相流和物质传输的解析解进行比较来验证。C-CST 方法显着减少了数值误差。然后，