Geometric and energy-aware decomposition of the Navier–Stokes equations: A port-Hamiltonian approach

Authors

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

Abstract

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-valued differential forms that allow us to describe the interconnection of the power preserving structure which underlies the motion of perfect fluids to a dissipative port which encodes Newtonian constitutive relations of shear and bulk stresses. The relevant diffusion and the boundary terms characterizing the Navier–Stokes equations on a general Riemannian manifold arise naturally from the proposed construction.

Citation

• Journal: Physics of Fluids
• Year: 2021
• Volume: 33
• Issue: 4
• Pages:
• Publisher: AIP Publishing
• DOI: 10.1063/5.0048359

BibTeX

@article{Califano_2021,
  title={{Geometric and energy-aware decomposition of the Navier–Stokes equations: A port-Hamiltonian approach}},
  volume={33},
  ISSN={1089-7666},
  DOI={10.1063/5.0048359},
  number={4},
  journal={Physics of Fluids},
  publisher={AIP Publishing},
  author={Califano, Federico and Rashad, Ramy and Schuller, Frederic P. and Stramigioli, Stefano},
  year={2021}
}

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