A hybrid reduced order method for modelling turbulent heat transfer problems

Research output: Contribution to journalArticlepeer-review


  • Sokratia Georgaka
  • Giovanni Stabile
  • Kelbij Star
  • Gianluigi Rozza
  • Michael J. Bluck

Institutes & Expert groups

  • Imperial College London
  • Scuola Internazionale Superiore di Studi Avanzati

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A parametric, hybrid reduced order method based on the Proper Orthogonal Decomposition with both Galerkin projection and interpolation based on Radial Basis Functions method is presented. This method is tested on a case of turbulent non-isothermal mixing in a T-junction pipe, a common flow arrangement found in nuclear reactor cooling systems. The reduced order model is derived from the 3D unsteady, incompressible Navier-Stokes equations weakly coupled with the energy equation. For high Reynolds numbers, the eddy viscosity and eddy diffusivity are incorporated into the Reduced Order Model with a Proper Orthogonal Decomposition (nested and standard) with Interpolation (PODI), where the interpolation is performed using Radial Basis Functions. The reduced order solver, obtained using a k-w SST Unsteady Reynolds Averaged Navier-Stokes full order model, is tested against the full order solver in a 3D T-junction pipe with parameterised velocity inlet boundary conditions.


Original languageEnglish
Article number104615
Pages (from-to)1-13
Number of pages13
JournalComputers & Fluids
Publication statusPublished - Aug 2020


  • Proper orthogonal decomposition, POD-Galerkin, Finite volume approximation, Heat transfer, Radial basis functions, Nested proper orthogonal decomposition, Navier-Stokes equations

ID: 7092514