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

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Abstract

A port-Hamiltonian model for compressible Newtonian fluid dynamics is presented in entirely coordinate-independent geometric fashion. This is achieved by use of tensor-valued differential forms that allow to describe 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.
Original languageEnglish
PublisherArXiv.org
DOIs
Publication statusPublished - 3 Mar 2021

Keywords

  • physics.flu-dyn
  • math-ph
  • math.MP

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