Partitioned finite element method for structured discretization with mixed boundary conditions
IFAC-PapersOnLine(2020)
Abstract
Abstract The propagation of acoustic waves in a 2D geometrical domain under mixed boundary control is here described by means of the port-Hamiltonian (pH) formalism. A finite element based method is employed to obtain a consistently discretized model. To construct a model with mixed boundary control, two different methodologies are detailed: one employs Lagrange multipliers, the other relies on a virtual domain decomposition to interconnect models with different causalities. The two approaches are assessed numerically, by comparing the Hamiltonian and the state variables norm for progressively refined meshes.
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Key words
Aeroacoustics, port-Hamiltonian systems (pHs), Partitioned Finite Element Method (PFEM), Mixed Boundary Control
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