SC Seminar Jurriaan Buist (CWI)

Energy conservation for the one-dimensional two-fluid model for two-phase pipe flow
  • What Scientific Computing English Not a Seminar Seminars
  • When 25-03-2021 from 15:00 to 16:00 (Europe/Amsterdam / UTC100)
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https://cwi-nl.zoom.us/j/86539157750?pwd=aUZld01lY0pFQXZBM20vcDgxa3hFQT09

Jurriaan Buist (CWI): Energy conservation for the one-dimensional two-fluid model for two-phase pipe flow

The one-dimensional two-fluid model (TFM) is a simplified model for multiphase flow in pipes. It is derived from a spatial averaging process, which introduces a closure problem concerning the wall and interface friction terms, similar to the closure problem in turbulence. To tackle this closure problem, we have approximated the friction terms by neural networks trained on data from DNS simulations.

Besides the closure problem, the two-fluid model has a long-standing stability issue: it is only conditionally well-posed. In order to tackle
this issue, we analyze the underlying structure of the TFM in terms of the energy behavior. We show the new result that energy is an inherent
'secondary' conserved property of the mass and momentum conservation equations of the model. Furthermore, we develop a new spatial
discretization that exactly conserves this energy in simulations.

The importance of structure preservation, and the core of our analysis, is not limited to the TFM. Neural networks that approximate physical
systems can also be designed to preserve the underlying structure of a PDE. In this way, physics-informed machine learning can yield more
physical results.