Efficient hyper‐reduced‐order model (HROM) for thermal analysis in the moving frame. (14th February 2017)

• Record Type: Journal Article
• Authors: Zhang, Yancheng; Combescure, Alain; Gravouil, Anthony
• Is Part Of: International journal for numerical methods in engineering. Volume 111:Number 2(2017)
• Page Start: 176
• Page End: 200
• Publication Date: 2017-02-14
• Subjects: finite element methods -- hyper‐reduced‐order model -- quasi‐static thermal analysis -- moving frame -- control volume -- streamline upwind Petrov–Galerkin; Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.5466
• Languages: English
• ISSNs: 0029-5981

Abstract

Summary: 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 (10 7 ). 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.