Special Session 58: Recent Advances in Numerical Methods for Partial Differential Equations

Small cut cells in a fictitious domain approach for fluid structure interactions

Daniele Boffi
King Abdullah University of Science and Technology
Saudi Arabia
Co-Author(s):    
Abstract:
In this talk I will present recent advances on the numerical analysis and implementation of a fictitious domain approach for the approximation of fluid structure interaction problems. As opposed to other unfitted discretizations, our analysis doesn`t require any particular treatment of small cells generated by elements cut by the interface between fluid and solid. Several numerical experiments confirm the stability of the method independently on the size of the cut cells.