Abstract: A novel Lagrange plus remap method is implemented on structured staggered Eulerian meshes using Lagrangian time advancement and remapping to the initial meshes. The Lagrangian time advancement adopts predict-correct scheme, and a pressure relaxation model is introduced in the Lagrangian calculation of mixed meshes. MOF (Moment of Fluid) is used to reconstruct explicit interfaces, a mixed mesh is divided into multiple-material polyhedra, achieving precise intersection remapping. Considering the inefficiency of existing Lagrangian mesh intersection algorithms, a more suitable intersection algorithm between Lagrangian mesh and Eulerian mesh has been developed, which is more compatible with the Lagrange plus remap method. The numerical simulation results show that constructing explicit interfaces in Eulerian framework can improve the resolution for interfaces of Eulerian method. The algorithm of constructing explicit interfaces for intersection remapping in this paper is robust and efficient, and it can maintain good integrity in large deformation simulations.