Burman, E;
Fernández, MA;
Gerosa, FM;
(2023)
Convergence Analysis of an Unfitted Mesh Semi-implicit Coupling Scheme for Incompressible Fluid-Structure Interaction.
Vietnam Journal of Mathematics
, 51
pp. 37-69.
10.1007/s10013-022-00589-w.
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Abstract
The complete numerical analysis of time splitting schemes which avoid strong coupling has rarely been addressed in the literature of unfitted mesh methods for incompressible fluid-structure interaction. In this paper, an error analysis of the semi-implicit scheme recently reported in Fernández and Gerosa (Int. J. Numer. Methods Eng. 122, 5384–5408, 2021) is performed for a linear fluid-structure interaction system. The analysis shows that, under a hyperbolic-CFL condition, the leading term in the energy error scales as O(hr− 1/2), where r = 1,2 stands for the extrapolation order of the solid velocity in the viscous fluid substep. The theoretical findings are illustrated via 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 strongly coupled scheme.
Type: | Article |
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Title: | Convergence Analysis of an Unfitted Mesh Semi-implicit Coupling Scheme for Incompressible Fluid-Structure Interaction |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.1007/s10013-022-00589-w |
Publisher version: | https://doi.org/10.1007/s10013-022-00589-w |
Language: | English |
Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher's terms and conditions. |
Keywords: | Fluid-structure interaction, Unfitted meshes, Splitting schemes |
UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
URI: | https://discovery.ucl.ac.uk/id/eprint/10158215 |
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