Operator splitting for port-Hamiltonian systems

The port-Hamiltonian approach presents an energy-based modeling of dynamical systems with energy-conservative and energy-dissipative parts as well as an interconnection over the so-called ports. In this paper, we apply an operator splitting that treats the energy-conservative and energy-dissipative...

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Bibliographic Details
Published in:arXiv.org 2023-04
Main Authors: Frommer, Andreas, Günther, Michael, Liljegren-Sailer, Björn, Marheineke, Nicole
Format: Article
Language:English
Subjects:
Dissipation
Dynamical systems
Hamiltonian functions
Iterative methods
Linear equations
Multibody systems
Splitting
System dynamics
Online Access:Get full text
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Summary:The port-Hamiltonian approach presents an energy-based modeling of dynamical systems with energy-conservative and energy-dissipative parts as well as an interconnection over the so-called ports. In this paper, we apply an operator splitting that treats the energy-conservative and energy-dissipative parts separately. This paves the way for linear equation solvers to exploit the respective special structures of the iteration matrices as well as the multirate potential in the different right-hand sides. We illustrate the approach using test examples from coupled multibody system dynamics.
ISSN:2331-8422