Open AccessA fast mesh deformation method for fluid–structure interaction problems
Author(s) -
A. Jendoubi
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/715/1/012016
Subject(s) - polygon mesh , deformation (meteorology) , computer science , boundary (topology) , extension (predicate logic) , matrix (chemical analysis) , euler's formula , simple (philosophy) , scheme (mathematics) , work (physics) , algorithm , boundary value problem , fluid–structure interaction , mass matrix , mesh generation , mathematics , computational science , mathematical optimization , finite element method , mathematical analysis , mechanical engineering , structural engineering , physics , materials science , computer graphics (images) , engineering , philosophy , epistemology , neutrino , meteorology , nuclear physics , composite material , programming language
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.