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Ober­se­mi­nar "Nu­me­rics for PDEs": Tho­mas Sales (Uni­ver­si­ty of Sus­sex) "An ite­ra­ti­ve ap­proach to flu­id-ri­gid bo­dy in­ter­ac­ti­ons"

Ort: J2.138
Veranstalter: Balázs Kovács

19. March 2026, Thursday, 14:15, in seminar room J2.138

Title:
An iterative approach to fluid-rigid body interactions

Abstract:
A classical problem in fluid mechanics is determining the motion of a rigid body immersed in a viscous fluid. The coupling between the motion of the rigid body and the fluid domain yields a moving boundary problem involving the Navier-Stokes equations. In this talk we present a new approach to the existence of strong solutions to this moving boundary problem (in three dimensions), via a novel iterative approach. This approach is then used to design a numerical method, and some basic numerical results are demonstrated. This talk is based on joint work with C. M. Elliott (University of Warwick).