Speaker
Description
Galbrun’s equation, a displacement-based Eulerian–Lagrangian formulation for aeroacoustics, offers a promising framework for modeling and simulating fluid-structure interaction in flow. The numerical solution of Galbrun’s equation remains challenging. Standard finite element method approaches are prone to instabilities that give rise to spurious nonphysical modes, an effect that is further exacerbated in the presence of a background mean flow. Alternative approaches, including mixed finite element and discontinuous Galerkin methods, have so far yielded only limited improvements in numerical accuracy.In this work, an initial structure-preserving port-Hamiltonian formulation approach is presented with the objective of establishing a physically stable numerical solution. Under the assumption that energy is exchanged between multiple physical domains and that no energy is lost, this approach helps prevent the formation of spurious modes.In the first step, a two-dimensional fluid flow domain together with an Euler–Bernoulli beam are formulated using the port-Hamiltonian systems approach and discretized using the Partitioned Finite Element Method. In a second step, a first attempt to couple the structural and fluid subsystems is made using power-conjugated interconnection ports, ensuring energy consistency at their interface. This is a key step toward a complete port-Hamiltonian formulation of Galbrun’s equation.