Radiative–conductive transfer equation in spherical geometry: arithmetic stability for decomposition using the condition number criterion
| Autor: | Bardo E. J. Bodmann, Cibele Aparecida Ladeia, Marco T. Vilhena |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
General Mathematics
General Engineering Kleene's recursion theorem 01 natural sciences 010305 fluids & plasmas 010101 applied mathematics Spherical geometry 0103 physical sciences Radiative transfer Decomposition method (constraint satisfaction) 0101 mathematics Arithmetic Transfer equation Condition number Electrical conductor Mathematics |
| Zdroj: | Journal of Engineering Mathematics. 123:149-163 |
| ISSN: | 1573-2703 0022-0833 |
| DOI: | 10.1007/s10665-020-10059-2 |
| Popis: | The radiative–conductive transfer equation in the $$S_N$$ approximation for spherical geometry is solved using a modified decomposition method. The focus of this work is to show how to distribute the source terms in the recursive equation system in order to guarantee arithmetic stability and thus numerical convergence of the obtained solution, guided by a condition number criterion. Some examples are compared with results from literature and parameter combinations are analyzed, for which the condition number analysis indicates convergence of the solutions obtained by the recursive scheme. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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