Splitting schemes and unfitted mesh methods for the coupling of an incompressible fluid with a thin-walled structure

Miguel Angel Fernández 1, * Mikel Landajuela 1
* Auteur correspondant
1 REO - Numerical simulation of biological flows
Sorbonne Université, Inria de Paris, LJLL - Laboratoire Jacques-Louis Lions
Abstract : Two unfitted mesh methods for a linear incompressible fluid/thin-walled structure interaction problem are introduced and analyzed. The spatial discretization is based on different variants of Nitsche's method with cut elements. The degree of fluid-solid splitting (semi-implicit or explicit) is given by the order in which the space and time discretizations are performed.The a priori stability and error analysis shows that strong coupling is avoided without compromising stability and accuracy. Numerical experiments in a benchmark illustrate the accuracy of the different methods proposed.
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IMA Journal of Numerical Analysis, Oxford University Press (OUP), In press
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  • HAL Id : hal-01309462, version 2

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Miguel Angel Fernández, Mikel Landajuela. Splitting schemes and unfitted mesh methods for the coupling of an incompressible fluid with a thin-walled structure. IMA Journal of Numerical Analysis, Oxford University Press (OUP), In press. 〈hal-01309462v2〉

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