Speaker
Mr
Nishant Ranwan
(PhD scholar at School of Mathematics, IISER Thiruvananthapuram)
Description
This talk presents the study on the finite element approximation of a fluid–structure interaction (FSI) problem. The FSI problem is governed by the incompressible Navier–Stokes equations and the equations of linear elasticity.
We consider that both the fluid and solid subdomains are stationary. We incorporate the grad-div stabilization for the fluid part during the spatial discretization. In the time continuous case, we show the existence of a finite element solution, and derive the a priori estimates and strong a priori estimates. We will present the finite element error analysis and derive the error estimates. The derived error estimates are independent of Reynolds number.
Author
Mr
Nishant Ranwan
(PhD scholar at School of Mathematics, IISER Thiruvananthapuram)
Co-authors
Dr
Nagaiah Chamakuri
(Associate Professor at IISER Thiruvananthapuram)
Prof.
Volker John
(Prof. at WIAS & Freie Universität Berlin)