An artificial neural network approach to bifurcating phenomena in computational fluid dynamics

Federico Pichi, Francesco Ballarin, Gianluigi Rozza, Jan S. Hesthaven

Risultato della ricerca: Contributo in rivistaArticolo in rivista

Abstract

This work deals with the investigation of bifurcating fluid phenomena using a reduced order modelling setting aided by artificial neural networks. We discuss the POD-NN approach dealing with non-smooth solutions set of nonlinear parametrized PDEs. Thus, we study the Navier–Stokes equations describing: (i) the Coanda effect in a channel, and (ii) the lid driven triangular cavity flow, in a physical/geometrical multi-parametrized setting, considering the effects of the domain’s configuration on the position of the bifurcation points. Finally, we propose a reduced manifold-based bifurcation diagram for a non-intrusive recovery of the critical points evolution. Exploiting such detection tool, we are able to efficiently obtain information about the pattern flow behaviour, from symmetry breaking profiles to attaching/spreading vortices, even in the advection-dominated regime.
Lingua originaleEnglish
pagine (da-a)105813-N/A
RivistaCOMPUTERS & FLUIDS
DOI
Stato di pubblicazionePubblicato - 2023

Keywords

  • Artificial neural network
  • Bifurcation analysis
  • Computational fluid dynamics
  • Navier–Stokes equations
  • Reduced order modelling

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