Port-Hamiltonian modeling of ideal fluid flow. I: Foundations and kinetic energy

DOI10.1016/j.geomphys.2021.104201zbMath1467.76006arXiv2012.01818OpenAlexW3107661444WikidataQ114173612 ScholiaQ114173612MaRDI QIDQ2019542

Federico Califano, Stefano Stramigioli, Frederic P. Schuller, Ramy Rashad

Publication date: 21 April 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.01818

zbMATH Keywords

Riemannian manifoldincompressible flowStokes-Dirac structureinviscid fluidcompressible adiabatic flowcompressible isotropic flowgeometric fluid dynamics

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Compressible fluids and gas dynamics (76N99) Incompressible inviscid fluids (76B99) Foundations of fluid mechanics (76A02)

Related Items (4)

Energetic decomposition of distributed systems with moving material domains: the port-Hamiltonian model of fluid-structure interaction ⋮ Intrinsic nonlinear elasticity: an exterior calculus formulation ⋮ Multi-scale description of pedestrian collective dynamics with port-Hamiltonian systems ⋮ Dual field structure-preserving discretization of port-Hamiltonian systems using finite element exterior calculus

Cites Work

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• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Groups of diffeomorphisms and the motion of an incompressible fluid
• Hamiltonian description of the ideal fluid
• Semidirect Products and Reduction in Mechanics
• Modeling and Control of Complex Physical Systems
• Twenty years of distributed port-Hamiltonian systems: a literature review
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