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Main Title: On the port-Hamiltonian structure of the Navier-Stokes equations for reactive flows
Author(s): Altmann, Robert
Schulze, Philipp
Type: Research Paper
Language Code: en
Abstract: 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.
Issue Date: 2016
Date Available: 12-Jan-2016
DDC Class: 532 Mechanik der Fluide, Mechanik der Flüssigkeiten
Subject(s): reactive flow
port-Hamiltonian formulation
Navier-Stokes equations
Hamiltonian formulation
energy-based modeling
Sponsor/Funder: DFG, SFB 1029, Substantial efficiency increase in gas turbines through direct use of coupled unsteady combustion and flow dynamics
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2015, 25
Appears in Collections:SFB 1029 - TurbIn » Publications

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