论文标题
PHI-FEM：用于颗粒流和Stokes方程的最佳收敛且易于实现的沉浸式边界方法
Phi-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations
论文作者
论文摘要
我们提出了一种沉浸式边界方法，用于模拟刚性粒子在由stokes方程所描述的流体中的爬行运动，这要归功于未固定网格上的有限元策略（称为phi-fem），该策略使用了phi-fem，该策略使用了具有级别集合功能的固体描述。我们方法的优点之一是使用标准有限元空间和经典集成工具，同时维持最佳收敛性（从理论上讲，在速度的H1标准中，压力的L2；在速度的L2 Norm中，在L2 Norm上也是如此）。
We present an immersed boundary method to simulate the creeping motion of a rigid particle in a fluid described by the Stokes equations discretized thanks to a finite element strategy on unfitted meshes, called Phi-FEM, that uses the description of the solid with a level-set function. One of the advantages of our method is the use of standard finite element spaces and classical integration tools, while maintaining the optimal convergence (theoretically in the H1 norm for the velocity and L2 for pressure; numerically also in the L2 norm for the velocity).
