Publications
Exergetic Port-Hamiltonian Systems Modeling Language
Our goal is to make complex energy-based models easier to build, understand, reuse, and refactor without sacrificing mathematical rigor. We introduce a graphical, compositional modeling language in which models are expressed as energy-flow diagrams. Crucially, the graphical syntax and the port-Hamiltonian semantics compose in compatible ways, enabling seamless hierarchical (de)composition of systems. Additional structural properties guarantee not just passivity, but thermodynamic consistency (1st & 2nd law).
Exergetic Port-Hamiltonian Systems for Multibody Dynamics
The article applies the EPHS modeling language to the domain of multibody dynamics. While the language provides a simple abstraction to define assemblies of rigid bodies connected by joints, the underlying mathematical description is based on the Lie group of Euclidean isometries.
Energy-based, geometric, and compositional formulation of fluid and plasma models
The article applies the EPHS language to the domain of fluid and plasma dynamics. Specifically, two plasma models are constructed that directly reuse as subsystems a Navier-Stokes-Fourier (NSF) fluid model and a Maxwell electromagnetism model. Besides an ideal compressible fluid model, the NSF model includes subsystems that model fluid visosity and thermal conduction. While the EPHS language provides a clear, energy-based abstraction, the underlying mathematical description is based on the differential-geometric framework of exterior calculus.
Exergetic Port-Hamiltonian Systems: a compositional, energy-based language for modeling mechanical, electromagnetic, and thermodynamic systems
The dissertation presents my work on the EPHS modeling language in a cohesive format.
Directories: A Convenient and Well-Behaved Formalism for Hierarchical Organization in Categorical Systems Theory
Primarily authored by Owen Lynch, the article investigates the directories formalism created as the foundation for the EPHS modeling language through the lens of applied category theory.
Exergetic port-Hamiltonian systems: modelling basics
The article studies how the framework of port-Hamiltonian systems (PHS) relates to thermodynamic modeling. In this context, the passivity property of PHS is correctly interpreted as non-negative exergy destruction.