A hybrid reduced order method for modelling turbulent heat transfer problems. (English) Zbl 1502.65087
Summary: 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.
MSC:
| 65M08 | Finite volume methods for initial value and initial-boundary value problems involving PDEs |
| 65D12 | Numerical radial basis function approximation |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
Keywords:
proper orthogonal decomposition; POD-Galerkin; finite volume approximation; heat transfer; radial basis functions; nested proper orthogonal decomposition; Navier-Stokes equationsReferences:
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