In:
Physics of Fluids, AIP Publishing, Vol. 33, No. 4 ( 2021-04-01)
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.
Type of Medium:
Online Resource
ISSN:
1070-6631
,
1089-7666
Language:
English
Publisher:
AIP Publishing
Publication Date:
2021
detail.hit.zdb_id:
1472743-2
detail.hit.zdb_id:
241528-8
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