Nitsche-XFEM Formulations and Splitting Schemes for the Coupling of an Incompressible Fluid with Immersed Thin-Walled Structures
Date:
Conference Talk at XIII SIMAI Biannual Congress (SIMAI 2016), Milano, Italy
Conference presentation on Nitsche-XFEM formulations and splitting schemes for coupling an incompressible fluid with immersed thin-walled structures. The talk combined an unfitted-mesh spatial discretization, in which extended finite elements capture fluid discontinuities across the structure and Nitsche’s method imposes the interface coupling, with time-splitting schemes that solve the fluid and the structure sequentially. The stability and accuracy of the resulting semi-implicit and explicit schemes were discussed and illustrated with numerical examples.
The unfitted-mesh discretization and the splitting schemes combined in this talk are detailed in the following papers: Computer Methods in Applied Mechanics and Engineering (2016) · IMA Journal of Numerical Analysis (2019)