Port-Hamiltonian modeling of ideal fluid flow. II: Compressible and incompressible flow

DOI10.1016/j.geomphys.2021.104199zbMath1466.76003arXiv2012.01827OpenAlexW3110551395WikidataQ114173615 ScholiaQ114173615MaRDI QIDQ2019541

Federico Califano, Frederic P. Schuller, Stefano Stramigioli, 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/2012.01827

zbMATH Keywords

Riemannian manifoldPoisson reductionStokes-Dirac structuregeometric fluid dynamicskinetic energy port-Hamiltonian model

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Hamiltonian and Lagrangian mechanics (70H99) Foundations of fluid mechanics (76A02)

Related Items (3)

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

Cites Work

• Discrete exterior geometry approach to structure-preserving discretization of distributed-parameter port-Hamiltonian systems
• On Euler-Arnold equations and totally geodesic subgroups
• Manifolds, tensor analysis, and applications.
• Topological methods in hydrodynamics
• Hamiltonian formulation of distributed-parameter systems with boundary energy flow
• Groups of diffeomorphisms and the motion of an incompressible fluid
• Semidirect Products and Reduction in Mechanics
• Twenty years of distributed port-Hamiltonian systems: a literature review
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