A fast mesh deformation method for fluid–structure interaction problems

Abstract

Abstract Previous work by the author [1] has developed a very simple moving mesh method, called parabolic extension, allowing for very large deformation in static problems and to very large time steps for time-dependent problems. In this paper, we significantly accelerate the previous method by using a forward Euler scheme with a lumped mass matrix to solve the parabolic extension and we applied it for simulation in fluid-structure interaction. The use of a lumped mass matrix in the forward scheme leads to an explicit algorithm (no linear system to solve) which make the new technique presented here very fast and less computational cost. Numerical benchmarks including complex boundary with irregular deformation are carried out. The results demonstrate that the new method generates the deformed mesh very fast and with high quality even in large deformations, especially concerning the boundary meshes.