Abstract
In the context of the transformation method, we propose a general approach to construct numerically the mapping generated by imposing specific boundary conditions with a targeted function, and the necessary material and heat source spatial distributions are then derived with the help of transformation method. The construction of mapping by grid generation method through solving partial differential equations circumvents the limitation of device geometry, which paves the way for designing more complex heat flow control devices. Two numerical examples are also given to show how to design material properties and heat source in order to control temperature patterns.
| Original language | English |
|---|---|
| Pages (from-to) | 454-460 |
| Number of pages | 7 |
| Journal | Acta Mechanica Solida Sinica |
| Volume | 27 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 Oct 2014 |
| Externally published | Yes |
Keywords
- grid generation
- heat conduction
- inverse problem
- transformation method