论文标题
用弥漫性界面方法建模标量在两相流中的传输
Modeling transport of scalars in two-phase flows with a diffuse-interface method
论文作者
论文摘要
在本文中，我们提出了一个新型的标量传输模型，用于使用相位场方法（漫射界面方法）在两相流中模拟标量量的模拟。在两相流中，标量量通常在两个阶段中具有不同的特性，从而在其中一个阶段中有效地限制了标量的量表。标量的这种限制导致界面处的标量浓度值的尖锐梯度形成，这对其数值模拟构成了严重的挑战。 为了克服这一挑战，我们为标量运输的模型提出了一个模型。该模型使用中央差异方案离散化，该方案导致非截止性实现，这对于模拟湍流至关重要。此外，提出的模型的可证明的强度是：（a）该模型保持标量浓度场的积极性能，当满足提出的标准时，对标量的物理可实现性要求，（b）拟议的模型是，标量浓度场的运输与范围的范围内的运输相一致，该范围的运输范围是在范围内的运输，该范围是在范围内的运输，该范围是在范围内的范围范围的范围，该范围是在范围内的范围范围的范围，该范围是在范围内的运输，该范围是在范围内的运输，该范围是在范围内的运输，该范围是在范围内的运输，该范围是在范围内的运输，该范围是在有效的范围内的运输。 界面;因此，防止标量在界面上的人工数值扩散。 最后，我们使用所提出的模型以各种两相流动方式呈现数值模拟，跨越层流到湍流。和评估：模型的准确性和鲁棒性，标量浓度场的阳性特性的有效性以及界面处标量的零升边界条件的实施。
In this article, we propose a novel scalar-transport model for the simulation of scalar quantities in two-phase flows with a phase-field method (diffuse-interface method). In a two-phase flow, the scalar quantities typically have disparate properties in two phases, which results in effective confinement of the scalar quantities in one of the phases, in the time scales of interest. This confinement of the scalars lead to the formation of sharp gradients of the scalar concentration values at the interface, presenting a serious challenge for its numerical simulations. To overcome this challenge, we propose a model for the transport of scalars. The model is discretized using a central-difference scheme, which leads to a non-dissipative implementation that is crucial for the simulation of turbulent flows. Furthermore, the provable strengths of the proposed model are: (a) the model maintains the positivity property of the scalar concentration field, a physical realizability requirement for the simulation of scalars, when the proposed criterion is satisfied, (b) the proposed model is such that the transport of the scalar concentration field is consistent with the transport of the volume fraction field, which results in the enforcement of the effective zero-flux boundary condition for the scalar at the interface; and therefore, prevents the artificial numerical diffusion of the scalar across the interface. Finally, we present numerical simulations using the proposed model in a wide range of two-phase flow regimes, spanning laminar to turbulent flows; and assess: the accuracy and robustness of the model, the validity of the positivity property of the scalar concentration field, and the enforcement of the zero-flux boundary condition for the scalar at the interface.
