Unfitted mesh formulations and splitting schemes for incompressible fluid/thin-walled structure interaction

Miguel Angel Fernández 1, * Mikel Landajuela 1
* Auteur correspondant
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, UPMC - Université Pierre et Marie Curie - Paris 6, Inria de Paris
Abstract : This paper presents two new numerical methods for incompressible fluid/thin-walled structure interaction problems using unfitted meshes. 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. For the semi-implicit schemes, energy-based stability and a priori error estimates are derived and which guarantee the unconditional stability and optimal accuracy in the energy-norm of one the methods. Stability and a priori error estimates are also derived for one of the explicit schemes. Numerical experiments in a benchmark illustrate the performance of the different methods proposed.
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Rapport
[Research Report] RR-8908, Inria. 2016
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Miguel Angel Fernández, Mikel Landajuela. Unfitted mesh formulations and splitting schemes for incompressible fluid/thin-walled structure interaction. [Research Report] RR-8908, Inria. 2016. 〈hal-01309462v2〉

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