A fictitious domain finite element method for simulations of fluid-structure interactions: The Navier-Stokes equations coupled with a moving solid
Résumé
The paper extends a fictitious domain finite element method analyzed for Stokes problem in [30] to the Navier-Stokes equations coupled with a moving solid. The dynamics of the solid is governed by the Newton's laws. The mixed finite element method used cuts element at the interface localized by level-set while preserving an optimal accuracy of the approximation of the normal stress tensor. An algorithm is proposed in order to treat the time evolution of the geometry and numerical tests are given.
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