{ "id": "2103.02277", "version": "v1", "published": "2021-03-03T09:35:49.000Z", "updated": "2021-03-03T09:35:49.000Z", "title": "Geometric and energy-aware decomposition of the Navier-Stokes equations: A port-Hamiltonian approach", "authors": [ "Federico Califano", "Ramy Rashad", "Frederico P. Schuller", "Stefano Stramigioli" ], "comment": "This is a preprint submitted to the journal of Physics of Fluids. Please do not CITE this version, but only the published manuscript", "categories": [ "physics.flu-dyn" ], "abstract": "A port-Hamiltonian model for compressible Newtonian fluid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 construction.", "revisions": [ { "version": "v1", "updated": "2021-03-03T09:35:49.000Z" } ], "analyses": { "keywords": [ "navier-stokes equations", "port-hamiltonian approach", "energy-aware decomposition", "compressible newtonian fluid dynamics", "coordinate-independent geometric fashion" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }