论文标题
具有隐式润滑模型的粒子悬浮液的欧拉基浸入边界方法
An Eulerian-based immersed boundary method for particle suspensions with implicit lubrication model
论文作者
论文摘要
我们描述了一种沉浸的边界方法，其中在欧拉框架中实现流体结构耦合。该方法是最初由Kajishima等人开发的浸泡边界方法的改进。 [1]，说明了粒子体积内虚拟流体的惯性，因此在中性物体和颗粒和流体之间存在密度差的情况下，能够再现颗粒的行为。该方法能够通过包括软球正常碰撞模型来处理多个悬浮物体的存在，即悬浮液，而润滑校正通常添加到类似的沉浸式边界方法中，以捕获次级网格未分辨的润滑力在此处被隐式处理，因此，自然而然地获得了任何extical extical extical compulition extection compution suppercation of extection。我们表明，我们的方法论可以成功地再现剪切流中粒子悬浮液的流变，直至密集的状态（最大颗粒体积分数约为46％），而没有任何额外的校正力。在存在不可忽略的惯性和不均匀的剪切速率的情况下，该方法的适用性还在高雷诺数下的湍流压力驱动导管流中进行了测试，显示出与实验测量的良好一致性。
We describe an immersed boundary method in which the fluid-structure coupling is achieved in an Eulerian framework. The method is an improved extension of the immersed boundary method originally developed by Kajishima et al. [1], which accounts for the inertia of the fictitious fluid inside the particle volume and is thus able to reproduce the behaviour of particles both in the case of neutrally-buoyant objects and in the presence of density difference between the particles and the fluid. The method is capable to handle the presence of multiple suspended objects, i.e., a suspension, by including a soft-sphere normal collision model, while the lubrication correction typically added to similar immersed boundary methods in order to capture the sub-grid unresolved lubrication force is here treated implicitly, i.e., naturally obtained without any explicit expression, thus no additional computation is required. We show that our methodology can successfully reproduce the rheology of a particle suspension in a shear flow up to a dense regime (with a maximum particle volume fraction around 46%) without any additional correction force. The applicability of this methodology is also tested in a turbulent pressure-driven duct flow at high Reynolds number in the presence of non-negligible inertia and non-uniform shear-rate, showing good agreement with experimental measurements.
