Journal
COMPUTERS & FLUIDS
Volume 208, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compfluid.2020.104615
Keywords
Proper orthogonal decomposition; POD-Galerkin; Finite volume approximation; Heat transfer; Radial basis functions; Nested proper orthogonal decomposition; Navier-Stokes equations
Funding
- Engineering and Physical Sciences Research Council (EPSRC)
- European Research Council Executive Agency by H2020 ERC Consolidator Grant project AROMA-CFD Advanced Reduced Order Methods with Applications in Computational Fluid Dynamics [681447]
- Italian Ministry of Education, Universities and Research (MIUR)
- INdAM-GNCS 2019
- Rolls-Royce
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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 - omega 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. (C) 2020 Elsevier Ltd. All rights reserved.
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