Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems  

作　　者：Sokratia Georgaka Giovanni Stabile Gianluigi Rozza Michael J.Bluck 

机构地区：[1]Imperial College London,Department of Mechanical Engineering,London,SW72BX,UK [2]SISSA,International School for Advanced Studies,Mathematics Area,mathLab,via Bonomea 265–34136,Trieste,Italy

出　　处：《Communications in Computational Physics》2020年第1期1-32,共32页计算物理通讯（英文）

摘　　要：A parametric reduced order model based on proper orthogonal decomposition with Galerkin projection has been developed and applied for the modeling of heat transport in T-junction pipes which are widely found in nuclear power reactor cooling systems.Thermal mixing of different temperature coolants in T-junction pipes leads to temperature fluctuations and this could potentially cause thermal fatigue in the pipe walls.The novelty of this paper is the development of a parametric ROM consider-ing the three dimensional,incompressible,unsteady Navier-Stokes equations coupled with the heat transport equation in a finite volume regime.Two different parametric cases are presented in this paper:parametrization of the inlet temperatures and parametrization of the kinematic viscosity.Different training spaces are considered and the results are compared against the full order model.The first test case results to a computational speed-up factor of 374 while the second test case to one of 211.

关 键 词：Proper orthogonal decomposition finite volume approximation Poisson equation for pressure inf-sup approximation supremizer velocity space enrichment Navier-Stokes equations 

分 类 号：O17[理学—数学]