论文标题
用于建模薄膜流的离散液滴方法
A Discrete Droplet Method for Modelling Thin Film Flows
论文作者
论文摘要
在本文中，我们提出了一个新模型，以模拟流过弯曲表面的流体的薄膜的形成，进化和破裂。该模型称为离散液滴法（DDM），通过跟踪单个移动的流体液滴来捕获薄流体膜的演变。与现有的薄膜模型相反，该模型求解了PDE以确定膜高度，在这里，我们根据液滴的聚合来计算膜高度。这种方法在使用液滴方面的新颖性使其适合模拟流体膜的形成，并在部分湿润的表面上对薄膜流动进行建模。 DDM是一种Lagrangian方法，每个液滴都具有统治运动的力平衡，并且使用平滑的粒子流体动力学（SPH）近似衍生物。通过将结果与分析溶液与薄膜流的浅水方程进行比较，以及与完整3D分辨的Navier Stokes模型的结果，通过将结果与分析溶液进行比较，可以彻底验证所提出的模型。我们还介绍了DDM在工业测试案例中的使用。结果突出了模型对用薄膜进行模拟的有效性。
In this paper, we present a new model to simulate the formation, evolution, and break up of a thin film of fluid flowing over a curved surface. Referred to as the discrete droplet method (DDM), the model captures the evolution of thin fluid films by tracking individual moving fluid droplets. In contrast to existing thin film models that solve a PDE to determine the film height, here, we compute the film height by numerical integration based on the aggregation of droplets. The novelty of this approach in using droplets makes it suitable for simulating the formation of fluid films, and modelling thin film flows on partially wetted surfaces. The DDM is a Lagrangian approach, with a force balance on each droplet governing the motion, and derivatives approximated using a smoothed particle hydrodynamics (SPH) like approach. The proposed model is thoroughly validated by comparing results against analytical solutions, against the results of the shallow-water equations for thin film flow, and also against results from a full 3D resolved Navier Stokes model. We also present the use of the DDM on an industrial test case. The results highlight the effectiveness of the model for simulations of flows with thin films.
