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On the port-Hamiltonian structure of the Navier-Stokes equations for reactive flows
Zitatschlüssel Altmann.2016
Autor Altmann, Robert and Schulze, Philipp
Jahr 2016
DOI 10.14279/depositonce-4933
Verlag Technische Universität Berlin
Institution Institut für Mathematik, Technische Universität Berlin
Zusammenfassung We consider the problem of finding an energy-based formulation of the Navier-Stokes equations for reactive flows. These equations occur in various applications, e. g., in combustion engines or chemical reactors. After modeling, discretization, and model reduction, important system properties as the energy conservation are usually lost which may lead to unphysical simulation results. In this paper we introduce a port-Hamiltonian formulation of the one-dimensional Navier-Stokes equations for reactive flows. The port-Hamiltonian structure is directly associated with an energy balance, which ensures that a temporal change of the total energy is only due to energy flows through the boundary.
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