Accurate modeling of moving boundaries and interfaces is a difficulty present in many situations of computational mechanics. We use a new approach, X-Mesh, to simulate with the finite element method the interaction between two immiscible flows while keeping an accurate and sharp description of the interface without remeshing. The surface tension between the two fluids is added thanks to the ghost fluid method which when coupled with X-Mesh allows us to be exactly sharp in the pressure jump. This reduces the parasitic currents due to the surface tension down to the numerical precision.

翻译：精确模拟移动边界和界面是计算力学中许多场景面临的难题。我们采用一种新方法X-Mesh，结合有限单元法模拟两种不相溶流体之间的相互作用，同时无需重新划分网格即可保持界面的精确且尖锐描述。两种流体间的表面张力通过幽灵流体方法引入，该方法与X-Mesh耦合后，能够精确捕捉压力跳跃。这将表面张力引起的寄生电流降低至数值精度水平。