Lohmayer, Markus (Friedrich-Alexander-Universität Erlangen-Nürnberg), Leyendecker, Sigrid (Friedrich-Alexander-Universität, Germany)

Exergetic Port-Hamiltonian Systems: Navier-Stokes-Fourier Fluid

Scheduled for presentation during the Regular Session "Nonequilibrium Thermodynamics" (WeS1M), Wednesday, July 27, 2022, 10:00−10:20, Lassonde M-2103

IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory, July 24-27, 2022 , Montreal, Canada

This information is tentative and subject to change. Compiled on April 26, 2024

Abstract

The Exergetic Port-Hamiltonian Systems modeling language combines a graphical syntax inspired by bond graphs with a port-Hamiltonian semantics akin to the GENERIC formalism. The syntax enables the modular and hierarchical specification of the composition pattern of lumped and distributed-parameter models. The semantics reflects the first and second law of thermodynamics as structural properties. Interconnected and hierarchically defined models of multiphysical thermodynamic systems can thus be expressed in a formal language accessible to humans and computers alike. We discuss a composed model of the Navier-Stokes-Fourier fluid on a fixed spatial domain as an example of an open distributed-parameter system. At the top level, the system comprises five subsystems which model kinetic energy storage, internal energy storage, thermal conduction, bulk viscosity, and shear viscosity.