Finite Element Formulation for Computational Fluid Dynamics Framed Within the Bond Graph Theory

Baliño, Jorge Luis

doi:10.1007/978-3-319-47434-2_9

Cited by 1 publication

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“… Flow typically varies across the transporting medium and thus three spacial dimensions are required for a full description of advection to include, for example, shear-induced Taylor diffusion and the effect of the Womersley number. The bond graph approach can be used to model three-dimensional fluid flow [ 37 ]; however, as discussed by Safaei et al [ 16 , 17 ], practical full-body haemodynamic models require both one- and three-dimensional flow models; moreover, one-dimensional models can provide boundary conditions for three-dimensional models [ 38 ]. This paper focuses on modelling advection in the one-dimensional case using lumped (zero-dimensional) approximations, but future work could be directed to including advection within the three-dimensional case.…”

Section: Discussionmentioning

confidence: 99%

Energy-based advection modelling using bond graphs

Gawthrop

Pan

2022

J. R. Soc. Interface.

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Advection, the transport of a substance by the flow of a fluid, is a key process in biological systems. The energy-based bond graph approach to modelling chemical transformation within reaction networks is extended to include transport and thus advection. The approach is illustrated using a simple model of advection via circulating flow and by a simple pharmacokinetic model of anaesthetic gas uptake. This extension provides a physically consistent framework for linking advective flows with the fluxes associated with chemical reactions within the context of physiological systems in general and the human physiome in particular.

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