Transient analysis of sharp thermal gradients using coarse finite element meshes |
| |
| Authors: | P. O’Hara C.A. Duarte T. Eason |
| |
| Affiliation: | 1. Department of Civil and Environmental Engr., University of Illinois at Urbana-Champaign, Newmark Laboratory, 205 North Mathews Avenue, Urbana, IL 61801, USA;2. Air Force Research Laboratory, Air Vehicles Directorate, WPAFB, OH, USA;1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China;2. Chongqing Key Laboratory of Social Economic and Applied Statistics, Chongqing Technology and Business University, Chongqing, 400067, China;1. School of Mathematics, The University of Manchester, M13 9PL Manchester, UK;2. Department of Aerospace Engineering, Indian Institute of Technology Kanpur, Kanpur, 208016, India;3. Delft University of Technology, Faculty of Aerospace Engineering, Aerodynamics Group P.O. Box 5058, 2600 GB Delft, The Netherlands;1. Department of Civil and Environmental Engr., University of Illinois at Urbana-Champaign, Newmark Laboratory, 205 North Mathews Avenue, Urbana, IL 61801, USA;2. ICES, University of Texas at Austin, Austin, TX 78712, USA;3. Department of Mathematics, Syracuse University, 215 Carnegie, Syracuse, NY 13244, USA |
| |
| Abstract: | This paper investigates the application of the generalized finite element method with global–local enrichments (GFEMgl) to problems of transient heat transfer involving localized features. The GFEMgl is utilized in order to numerically construct general, specially-tailored shape functions yielding high levels of accuracy on coarse FEM meshes. The use of time-dependent shape functions requires that the system of equations be discretized temporally first, and then spatially in order to properly account for the time-dependency. The standard α-method is used for the time integration scheme. The transient three-dimensional GFEMgl is then applied to a laser heating example in order to demonstrate its ability to resolve localized, transient features on a fixed, coarse mesh. Convergence analysis of the proposed method as well as applications to heterogeneous materials, and moving heat sources are also provided. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
