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Transient analysis of sharp thermal gradients using coarse finite element meshes
| Content Provider | Semantic Scholar |
|---|---|
| Author | O'Hara, Paul G. Duarte, C. Armando Eason, Thomas |
| Copyright Year | 2011 |
| Abstract | Abstract This paper investigates the application of the generalized finite element method with global–local enrichments ( GFEM gl ) to problems of transient heat transfer involving localized features. The GFEM gl 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 GFEM gl 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. |
| Starting Page | 812 |
| Ending Page | 829 |
| Page Count | 18 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.cma.2010.10.005 |
| Alternate Webpage(s) | http://gfem.cee.illinois.edu/papers2/backwardEuler.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.cma.2010.10.005 |
| Volume Number | 200 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
