Eulerian unified formulation for fluid-structure interaction problems using marker particles with Reference map

Abstract

An Eulerian fluid-structure interaction (FSI) formulation, which numerically solves fluid and solid in a unified manner with a fixed mesh, is attractive for large deformation problems, high-performance computing, and quick mesh generation even for complex geometries. However, conventional Eulerian methods cannot stably compute FSI problems with the discontinuity of the velocity gradient near the fluid-structure interface. In order to avoid this problem, we propose a novel Eulerian FSI method using marker particles with the Reference map, which is the initial position vector of the solid region. Through the simulation of several benchmark tests, we have confirmed that the proposed method can stably compute the FSI problems mentioned above, and the present numerical results are in quantitatively good agreement with the reference solutions.