Numerical simulation of heat transfer in materials with anisotropic thermal conductivity: A finite volume scheme to handle complex geometries
Please always quote using this URN:urn:nbn:de:0296-matheon-2626
- A finite volume scheme suitable for nonlinear heat transfer in materials with anisotropic thermal conductivity is formulated, focussing on the difficulties arising from the discretization of complex domains which are typical in the simulation of industrially relevant processes. The discretization is based on unstructured constrained Delaunay triangulations of the domain. For simplicity, it is assumed that the thermal conductivity tensor has vanishing off-diagonal entries and that the anisotropy is independent of the temperature. Numerical simulations verify the accuracy of the method in two test cases where a closed-form solution is available. Further results demonstrate the effectiveness of the method in computing the heat transfer in a complex growth apparatus used in crystal growth.
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| Author: | Jürgen Geiser, Olaf Klein, Peter Philip |
|---|---|
| URN: | urn:nbn:de:0296-matheon-2626 |
| Referee: | Jürgen Sprekels |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2005/06/14 |
| Release Date: | 2005/03/06 |
| Preprint Number: | 256 |
