Splitting schemes for a Lagrange multiplier formulation of FSI with immersed thin-walled structure: stability and convergence analysis

by   Michele Annese, et al.

The numerical approximation of incompressible fluid-structure interaction problems with Lagrange multiplier is generally based on strongly coupled schemes. This delivers unconditional stability but at the expense of solving a computationally demanding coupled system at each time-step. For the case of the coupling with immersed thin-walled solids, we introduce a class of semi-implicit coupling schemes which avoids strongly coupling without compromising stability and accuracy. A priori energy and error estimates are derived. The theoretical results are illustrated through numerical experiments in an academic benchmark.


page 1

page 2

page 3

page 4


Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem

We analyze a splitting method for a canonical fluid structure interactio...

Stability analysis of two-class retrial systems with constant retrial rates and general service times

We establish stability criterion for a two-class retrial system with Poi...

Solving coupled problems of lumped parameter models in a platform for severe accidents in nuclear reactors

This paper focuses on solving coupled problems of lumped parameter model...

Efficient computational methods for rovibrational transition rates in molecular collisions

Astrophysical modeling of processes in environments that are not in loca...

Double Happiness: Enhancing the Coupled Gains of L-lag Coupling via Control Variates

The recently proposed L-lag coupling for unbiased MCMC <cit.> calls for ...

Mass-Conserving Implicit-Explicit Methods for Coupled Compressible Navier-Stokes Equations

Earth system models are composed of coupled components that separately m...