On port-Hamiltonian formulations of 3-dimensional compressible Newtonian fluids
In this manuscript, a general formulation of 3-dimensional compressible fluids based on the
port-Hamiltonian framework is presented, both for isentropic and non-isentropic …
port-Hamiltonian framework is presented, both for isentropic and non-isentropic …
About dissipative and pseudo port-Hamiltonian formulations of irreversible newtonian compressible flows
In this paper we consider the physical-based modeling of 3D and 2D Newtonian fluids
including thermal effects in order to cope with the first and second principles of …
including thermal effects in order to cope with the first and second principles of …
Geometric and energy-aware decomposition of the Navier–Stokes equations: A port-Hamiltonian approach
A port-Hamiltonian model for compressible Newtonian fluid dynamics is presented in
entirely coordinate-independent geometric fashion. This is achieved by the use of tensor …
entirely coordinate-independent geometric fashion. This is achieved by the use of tensor …
An overview on irreversible port-Hamiltonian systems
H Ramirez, Y Le Gorrec - Entropy, 2022 - mdpi.com
A comprehensive overview of the irreversible port-Hamiltonian system's formulation for finite
and infinite dimensional systems defined on 1D spatial domains is provided in a unified …
and infinite dimensional systems defined on 1D spatial domains is provided in a unified …
[HTML][HTML] Port-Hamiltonian modeling of ideal fluid flow: Part I. Foundations and kinetic energy
In this two-parts paper, we present a systematic procedure to extend the known Hamiltonian
model of ideal inviscid fluid flow on Riemannian manifolds in terms of Lie–Poisson …
model of ideal inviscid fluid flow on Riemannian manifolds in terms of Lie–Poisson …
Multiple temperature gas dynamic equations for non-equilibrium flows
In an early approach, a kinetic model with multiple translational temperature [K. Xu, H. Liu
and J. Jiang, Phys. Fluids 19, 016101 (2007)] to simulate non-equilibrium flows was …
and J. Jiang, Phys. Fluids 19, 016101 (2007)] to simulate non-equilibrium flows was …
On a port-Hamiltonian formulation and structure-preserving numerical approximations for thermodynamic compressible fluid flow
SA Hauschild, N Marheineke - arXiv preprint arXiv:2404.05358, 2024 - arxiv.org
The high volatility of renewable energies calls for more energy efficiency. Thus, different
physical systems need to be coupled efficiently although they run on various time scales …
physical systems need to be coupled efficiently although they run on various time scales …
Incompressible Navier-Stokes Equation as port-Hamiltonian systems: velocity formulation versus vorticity formulation
G Haine, D Matignon - IFAC-PapersOnLine, 2021 - Elsevier
Starting from the description of the isentropic compressible viscous fluid as port-Hamiltonian
system in [Mora & al., 2020], the special cases of irrotational or incompressible cases in 2D …
system in [Mora & al., 2020], the special cases of irrotational or incompressible cases in 2D …
Coupled nonlinear constitutive models for rarefied and microscale gas flows: subtle interplay of kinematics and dissipation effects
RS Myong - Continuum Mechanics and Thermodynamics, 2009 - Springer
The constitutive relations of gases in a thermal nonequilibrium (rarefied and microscale) can
be derived by applying the moment method to the Boltzmann equation. In this work, a model …
be derived by applying the moment method to the Boltzmann equation. In this work, a model …
Topology of the second-order constitutive model based on the Boltzmann–Curtiss kinetic equation for diatomic and polyatomic gases
The topological aspects of fluid flows have long been fascinating subjects in the study of the
physics of fluids. In this study, the topology of the second-order Boltzmann–Curtiss …
physics of fluids. In this study, the topology of the second-order Boltzmann–Curtiss …