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The Exergetic Port-Hamiltonian Systems modeling language combines a graphicalsyntax inspired by bond graphs with a port-Hamiltonian semantics akin to theGENERIC formalism. The syntax enables the modular and hierarchicalspecification of the composition pattern of lumped and distributed-parametermodels. The semantics reflects the first and second law of thermodynamics asstructural properties. Interconnected and hierarchically defined models ofmultiphysical thermodynamic systems can thus be expressed in a formal languageaccessible to humans and computers alike. We discuss a composed model of theNavier-Stokes-Fourier fluid on a fixed spatial domain as an example of an opendistributed-parameter system. At the top level, the system comprises fivesubsystems which model kinetic energy storage, internal energy storage, thermalconduction, bulk viscosity, and shear viscosity.

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