Direct-forcing immersed-boundary method: a simple correction preventing boundary slip error

The boundary slip error resulting from the interpolation/spreading non-reciprocity of the direct-forcing immersedboundary method is analyzed based on a simple and generic theoretical framework. In explicit implementations, the slip error scales with the Courant number, as predicted by the analysis and confirmed by lattice-Boltzmann simulation results. Using an analytical approximation of the non-reciprocity error, the immersed-boundary force can be corrected in order to prevent boundary slip and flow penetration. This a priori correction leads to a major improvement of the no-slip condition while avoiding any additional computational time or implementation effort.

Simon Gsell, Julien Favier. Direct-forcing immersed-boundary method: a simple correction preventing boundary slip error. Journal of Computational Physics, 2021, 435, pp.110265. ⟨10.1016/j.jcp.2021.110265⟩. ⟨hal-03425864⟩

Journal: Journal of Computational Physics

Date de publication: 11-03-2021

Auteurs:
  • Simon Gsell
  • Julien Favier

Digital object identifier (doi): http://dx.doi.org/10.1016/j.jcp.2021.110265


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