Operator splitting for port-Hamiltonian systems

TL;DR

This paper introduces an operator splitting method for port-Hamiltonian systems that separately handles energy-conservative and dissipative parts, enabling more efficient numerical solutions and leveraging system structure.

Contribution

The paper proposes a novel operator splitting technique tailored for port-Hamiltonian systems, improving computational efficiency by exploiting their structural properties.

Findings

Enhanced solver efficiency for port-Hamiltonian systems

Effective handling of energy-conservative and dissipative parts separately

Successful application to multibody system dynamics examples

Abstract

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.