A comparison of spatial discretization schemes for differential solution methods of the radiative transfer equation |
| |
Authors: | PJ Coelho |
| |
Institution: | Mechanical Engineering Department, Instituto Superior Técnico, Technical University of Lisbon, Av. Rovisco Pais, 1049-001 Lisboa, Portugal |
| |
Abstract: | A comparison of discretization schemes required to evaluate the radiation intensity at the cell faces of a control volume in differential solution methods of the radiative transfer equation is presented. Several schemes developed using the normalized variable diagram and the total variation diminishing formalisms are compared along with essentially non-oscillatory schemes and genuinely multidimensional schemes. The calculations were carried out using the discrete ordinates method, but the analysis is equally valid for the finite-volume method. It is shown that the S schemes of the genuinely multidimensional family perform quite well, particularly in problems with discontinuous radiation intensity fields. However, they are time consuming, and so they do not always become more attractive regarding the trade-off between accuracy and computational requirements, in comparison with other high-order schemes that, although being less accurate, are also more economical. |
| |
Keywords: | Spatial discretization schemes Radiative transfer equation High-order resolution schemes TVD schemes ENO schemes Genuinely multidimensional schemes |
本文献已被 ScienceDirect 等数据库收录! |
|