Multi‐model Arlequin method for transient structural dynamics with explicit time integration

Abstract

This paper addresses the explicit time integration for solving multi-model structural dynamics by the Arlequin method. Our study focuses on the stability of the central difference scheme in the Arlequin framework. Although the Arlequin coupling matrices can introduce a weak instability, the time integrator remains stable as long as the initial kinematic conditions of both models agree on the coupling zone. After showing that the Arlequin weights have an adverse impact on the critical time step, we present two approaches to circumvent this issue. Computational tests confirm that the two approaches effectively preserve a feasible critical time step and show the efficiency of the Arlequin method for structural explicit dynamic simulations. Copyright 1215 kinematic conditions of both models agree on the overlapping zone. We introduced a simplified case to assess the adverse effect of the Arlequin weights on the critical time step and presented two approaches to circumvent this issue. The approaches were validated on a consistent test case, then applied to two relevant 2D examples, which showed good agreement with reference results.

A Finite Volume Chimera Method for Fast Transient Dynamics in Compressible Flow Problems

“…It has been applied to a large panel of problems, mainly structural [6,7,8,9], but also to some compressible fluid mechanics problems [10,11,12]. The present work also benefits from the previous work carried out by Fernier et al [13], in which the relevance of the Arlequin method for structural fast transient dynamic simulation with explicit-explicit time integration is demonstrated. However, the Arlequin method shows some limitations with fluid fast transient dynamics in [14] with the appearance of ghost forces, numerical artifacts that require a filtering procedure.…”