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Simulations of viscoelastic two-phase flows in complex geometries

机译：复杂几何形状中粘弹性两相流的模拟

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A front-tracking/immersed-boundary (FT/IB) method is developed for direct numerical simulations of viscoelastic two-phase flow systems in complex geometries. One set of governing equations is written for the whole computational domain and different phases are treated as a single fluid with variable material and rheological properties. The interface is tracked explicitly using a Lagrangian grid while the flow equations are solved on a fixed Eulerian grid. An immersed boundary method is used to impose the boundary conditions on arbitrarily-shaped solid walls. The surface tension is computed at the interface using the Lagrangian grid and included into the momentum equations as a body force. The viscoelasticity is accounted for using the FENE-CR model. The viscoelastic model equations are solved fully coupled with the flow equations within the front-tracking framework. The FT/IB method is first validated for a single-phase and a two-phase Newtonian flow problems. Then it is applied to study motion and deformation of a viscoelastic drop in a pressure-driven flow through a capillary tube with a smooth and a sharp-edged constrictions. It is shown that the FT/IB method is robust, second order accurate in space and suitable to simulate viscoelastic two-phase flows interacting with a complex geometry. (C) 2017 Elsevier Ltd. All rights reserved.
机译：正面跟踪/浸入边界（FT / IB）方法是开发用于复杂几何形状的粘弹性两相流量系统的直接数值模拟。为整个计算结构域写入一组控制方程，并且将不同的相处理为具有可变材料和流变性质的单一流体。在固定的Eulerian网格上求出流动方程，在固定的欧拉格网格中明确地跟踪接口。浸没边界方法用于在任意形状的固体壁上施加边界条件。使用拉格朗日网格在界面中计算表面张力，并将动量方程作为体力。使用FENE-CR模型占粘弹性。粘弹性模型方程求解完全耦合与前跟踪框架内的流动方程。首先验证FT / IB方法以进行单相和两相牛顿流问题。然后应用于通过具有光滑且锋利的收缩的毛细管在压力驱动流中的粘弹性下降的运动和变形。结果表明，FT / IB方法是坚固的，第二顺序在空间中精确，适合模拟与复杂几何形状相互作用的粘弹性两相流。 （c）2017 Elsevier Ltd.保留所有权利。

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