Abstract: We present an adaptive partitioned time-stepping numerical scheme for solving a fluid-structure interaction problem with thick structures. The viscous, incompressible fluid is described using the Navier-Stokes equations expressed in an Arbitrary Lagrangian Eulerian form while the elastic structure is modeled using elastodynamic equations. We implement a partitioned scheme based on the Robin-Robin coupling conditions at the interface, combined with the refactorization of Cauchy’s one-legged -like method with adaptive time-stepping. The family of methods is unconditionally stable, and for a particular value 1/2 - it corresponds to the midpoint rule, which features second-order convergence in time, and conserves all quadratic Hamiltonians.
Speaker’s Bio: Catalin Trenchea is Professor of Mathematics at the University of Pittsburgh.
His research interests include optimal control theory, partial differential equations, computational fluid dynamics, uncertainty quantification, turbulence modeling, fluid-structure interaction, porous media. He received his Ph.D. from the University of Iasi (Romania) under Viorel Barbu.
Last Updated: January 8, 2024 - 2:52 pm