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

2 COMMEDIA - COmputational Mathematics for bio-MEDIcal Applications
Inria de Paris, LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
Abstract : 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.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

https://hal.inria.fr/hal-03065803
Contributor : Miguel Angel Fernández <>
Submitted on : Tuesday, December 15, 2020 - 12:05:07 AM
Last modification on : Thursday, December 17, 2020 - 4:19:51 AM

### File

convergence.pdf
Files produced by the author(s)

### Identifiers

• HAL Id : hal-03065803, version 1

### Citation

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

Record views