含可溶性表面活性剂多相流的界面跟踪技术
An Interface-Tracking Technique for Multiphase Flow with Soluble Surfactant
摘要：
我们将Muradoglu和Tryggvason（JCP 274（2014）737-757）最近提出的用于多相流中可溶性表面活性剂输送的公式调整和扩展到水平轮廓重建方法（Shin等人，IJNMF 60（2009）753-778）的背景，该方法是结合了前沿跟踪和水平集方法的优点的混合方法。特别密切关注的是表面活性剂浓度和表面张力的表面梯度的制定和数值实现。进行各种基准测试，以证明算法的不同元素的准确性。为了验证表面活性剂的质量守恒，表面活性剂沿界面扩散的值进行比较，与精确的解决方案的问题，均匀膨胀的球体。将体浓度中源项间断边界条件的数值实现与近似解进行了比较。测试Marangoni液滴平移的表面张力。我们的数值计算结果与实验和以前的模拟结果进行了比较。所有的基准测试比较以及与现有的数据，从而提供信心，我们适应LCRM配方的表面活性剂平流和扩散是准确和有效的三维多相流。我们还表明，这种方法很容易适用于大规模并行模拟。
英文摘要：
We adapt and extend a formulation for soluble surfactant transport in multiphase flows recently presented by Muradoglu & Tryggvason (JCP 274 (2014) 737-757) to the context of the Level Contour Reconstruction Method (Shin et al. IJNMF 60 (2009) 753-778) which is a hybrid method that combines the advantages of the Front-tracking and Level Set methods. Particularly close attention is paid to the formulation and numerical implementation of the surface gradients of surfactant concentration and surface tension. Various benchmark tests are performed to demonstrate the accuracy of different elements of the algorithm. To verify surfactant mass conservation, values for surfactant diffusion along the interface are compared with the exact solution for the problem of uniform expansion of a sphere. The numerical implementation of the discontinuous boundary condition for the source term in the bulk concentration is compared with the approximate solution. Surface tension forces are tested for Marangoni drop translation. Our numerical results for drop deformation in simple shear are compared with experiments and results from previous simulations. All benchmarking tests compare well with existing data thus providing confidence that our adapted LCRM formulation for surfactant advection and diffusion is accurate and effective in three-dimensional multiphase flows. We also demonstrate that this approach applies easily to massively parallel simulations.
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