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

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

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)
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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 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.

Original languageEnglish
Article number047114
JournalPhysics of fluids
Volume33
Issue number4
DOIs
Publication statusPublished - 26 Apr 2021

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