[HTML][HTML] 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] Structure-preserving model reduction for port-Hamiltonian systems based on separable nonlinear approximation ansatzes
P Schulze - Frontiers in Applied Mathematics and Statistics, 2023 - frontiersin.org
We discuss structure-preserving model order reduction for port-Hamiltonian systems based
on a nonlinear approximation ansatz which is linear with respect to a part of the state …
on a nonlinear approximation ansatz which is linear with respect to a part of the state …
Energy-based model reduction of transport-dominated phenomena
P Schulze - 2023 - depositonce.tu-berlin.de
Transport-dominated systems are characterized by the propagation of waves and occur in
many applications such as aerodynamics and chemical engineering. To predict the …
many applications such as aerodynamics and chemical engineering. To predict the …
Structure-Preserving Model Reduction for Port-Hamiltonian Systems Based on a Special Class of Nonlinear Approximation Ansatzes
P Schulze - arXiv preprint arXiv:2302.06479, 2023 - arxiv.org
We discuss structure-preserving model order reduction for port-Hamiltonian systems based
on an approximation of the full-order state by a linear combination of ansatz functions which …
on an approximation of the full-order state by a linear combination of ansatz functions which …
A differential geometric description of thermodynamics in continuum mechanics with application to Fourier–Navier–Stokes fluids
A description of thermodynamics for continuum mechanical systems is presented in the
coordinate-free language of exterior calculus. First, a careful description of the mathematical …
coordinate-free language of exterior calculus. First, a careful description of the mathematical …
Irreversible port-Hamiltonian modelling of 3D compressible fluids
Boundary controlled irreversible port-Hamiltonian systems (BC-IPHS) defined on 1, 2 and 3-
dimensional spatial domains are defined by extending the formulation of reversible BC-PHS …
dimensional spatial domains are defined by extending the formulation of reversible BC-PHS …