A Nitsche-based cut finite element method for a fluid-structure interaction problem
2015 (English)In: Communications in Applied Mathematics and Computational Science, ISSN 1559-3940, E-ISSN 2157-5452, Vol. 10, no 2, 97-120 p.Article in journal (Refereed) Published
We present a new composite mesh finite element method for fluid-structure interaction problems. The method is based on surrounding the structure by a boundary-fitted fluid mesh that is embedded into a fixed background fluid mesh. The embedding allows for an arbitrary overlap of the fluid meshes. The coupling between the embedded and background fluid meshes is enforced using a stabilized Nitsche formulation that allows us to establish stability and optimal-order a priori error estimates. We consider here a steady state fluid-structure interaction problem where a hyperelastic structure interacts with a viscous fluid modeled by the Stokes equations. We evaluate an iterative solution procedure based on splitting and present three-dimensional numerical examples.
Place, publisher, year, edition, pages
2015. Vol. 10, no 2, 97-120 p.
fluid-structure interaction, overlapping meshes, cut finite element method, embedded meshes, abilized finite element methods, Nitsche's method
IdentifiersURN: urn:nbn:se:umu:diva-110601DOI: 10.2140/camcos.2015.10.97ISI: 000362097900001OAI: oai:DiVA.org:umu-110601DiVA: diva2:865166