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Pré-Publication, Document De Travail Année : 2020

Error analysis of an unfitted mesh semi-implicit coupling scheme for fluid-structure interaction

Résumé

Robust a priori error estimates are derived for the unfitted meshe semi-implicit coupling scheme recently introduced in [26], for the simulation of incompresible fluid-structure interaction involving thinwalled solids. The analysis shows that, under a hyperbolic-CFL condition, the leading term in the energy error scales as $O(h^{r−1/2})$, where $r=1, 2$ stands for the extrapolation order of the solid velocity in the viscous luid sub-step. The theoretical findings are illustrated via a numerical experiments which show, in particular, that the considered method avoids the spatial non-uniformity issues of standard loosely coupled schemes and that it delivers practically the same accuracy as the fully implicit scheme.
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Dates et versions

hal-03065803 , version 1 (15-12-2020)
hal-03065803 , version 2 (13-07-2022)
hal-03065803 , version 3 (27-10-2022)

Identifiants

  • HAL Id : hal-03065803 , version 1

Citer

Erik Burman, Miguel Angel Fernández, Fannie Gerosa. Error analysis of an unfitted mesh semi-implicit coupling scheme for fluid-structure interaction. 2020. ⟨hal-03065803v1⟩
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