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Efficient hyper‐reduced‐order model (HROM) for thermal analysis in the moving frame
Authors:Yancheng Zhang  Alain Combescure  Anthony Gravouil
Affiliation:1. LaMCoS, INSA‐Lyon, Universit de Lyon, CNRS UMR 5259, Villeurbanne, France;2. Chaire AREVA‐SAFRAN, Institut national des sciences appliquées de Lyon, Villeurbanne, France;3. Mines ParisTech, PSL Research University, Cemef, CNRS UMR 7635, 1 Rue Claude Daunesse, Sophia Antipolis, France;4. Institut universitaire de France, France
Abstract:The hyper‐reduced‐order model (HROM) is proposed for the thermal calculation with a constant moving thermal load. Firstly, the constant velocity transient process is simplified to a steady‐state process in the moving frame. Secondly, the control volume is determined by the temperature rate, and the thermal equilibrium equation in the moving frame is derived by introducing an advective term containing the loading velocity. Thirdly, the HROM is performed on the control volume with a moving frame formulation. This HROM has been applied to the thermal loading on brick and ring disk specimens with a CPU gain of the order of 7 (107). In addition, two strategies are proposed for the HROM to improve its precision. Moreover, the high efficiency and high accuracy are kept for the parametric studies on thermal conductivity and amplitude of heat flux based on the developed HROM. Copyright © 2016 John Wiley & Sons, Ltd.
Keywords:finite element methods  hyper‐reduced‐order model  quasi‐static thermal analysis  moving frame  control volume  streamline upwind Petrov–  Galerkin
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