Development of the computational method for the multiple fluid flows through the micro channel with a complex shape

提出了一种基于带符号距离函数的笛卡尔网格形状表示的浸入边界法。该方法提高了Poiffille流的精度，而Poiffille流的精度主要取决于壁面边界条件的表示精度。另一方面，基于扩散界面法，提出了多流体自由能模型。三维接触界面在三重结是适当的表示。此外，通过三维计算再现了重力驱动下的多种流体的运动和复杂的界面变形。

The immersed boundary method with employing the signed distance function for the shape representation in Cartesian mesh is proposed. The accuracy of the Poiseuille flow, which is dominated by the representation accuracy of the wall boundary condition, is improved by the present method. On the other hand, the free energy model for multiple fluids is proposed based on the diffuse interface method. The three-dimensional contact interfaces at the triple junction is properly represented. Additionally, the gravity driven motion of multiple fluids with the complex deformation of interfaces is reproduced by the three-dimensional computation.