Mathematics

In this talk we discuss a computational reduction framework for parametrized problems in computational fluid dynamics, based on a offline/online splitting between an high fidelity model (offline) and a reduced order one (online). Special attention will be devoted to the stabilization of the resulting online system, and shape parametrization maps to efficiently handle deformation of the computational domain. In the second part of the talk we will show some applications of the proposed framework to optimal control problems, fluid-structure interaction and a focus on cardiovascular flows.