Full Eulerian finite element method of a phase field model for fluid–structure interaction problem.

Highlights: [•] A one-continuum Eulerian model in terms of phase field is developed for FSI problem. [•] We develop a new stable scheme for an incompressible hyperelastic structure equation. [•] We develop Galerkin/least-square finite element method to solve fluid–structure model. [•] We design a streamline-diffusion scheme for phase field and deformation tensor PDEs. [•] A cross passively spinning around its axis by interacting with fluid is implemented. [Copyright &y& Elsevier]