Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling - Archive ouverte HAL Access content directly
Journal Articles International Journal for Numerical Methods in Engineering Year : 2014

Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling

(1) , (2)
1
2
Erik Burman
  • Function : Author
  • PersonId : 940966

Abstract

We discuss explicit coupling schemes for fluid-structure interaction problems where the added mass effect is important. In this paper we show the close relation between coupling schemes using Nitsche's method and a Robin-Robin type coupling. In the latter case the method may be implemented either using boundary integrals of the stresses or the more conventional discrete lifting operators. Recalling the explicit method proposed in Comput. Methods Appl. Mech. Engrg. 198(5-8):766-784, 2009 we make the observation that this scheme is stable under a hyperbolic type CFL condition, but that optimal accuracy imposes a parabolic type CFL conditions due to the splitting error. Two strategies to enhance the accuracy of the coupling scheme under the hyperbolic CFL-condition are suggested, one using extrapolation and defect-correction and one using a penalty-free non-symmetric Nitsche method. Finally we illustrate the performance of the proposed schemes on some numerical examples in two and three space dimensions.
Fichier principal
Vignette du fichier
RR-8296.pdf (5.29 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00819948 , version 1 (02-05-2013)
hal-00819948 , version 2 (29-10-2013)

Identifiers

Cite

Erik Burman, Miguel Angel Fernández. Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling. International Journal for Numerical Methods in Engineering, 2014, 97 (10), pp.739--758. ⟨10.1002/nme.4607⟩. ⟨hal-00819948v2⟩
422 View
579 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More