An Efficient Implementation of the Finite-volume Method For the Solution of Radiation Transport in Circuit Breakers
Keywords:radiation, circuit-breaker, finite-volume method, space-marching
AbstractIn this paper, we propose to revisit the method to solve the radiation transport equation in circuit breakers to reduce the computation time. It is based on an explicit approach using a space marching algorithm. The method can further be accelerated using a Cartesian grid and using the axisymmetric assumption. Comparisons performed in terms of accuracy and efficiency between the P1 model, the implicit finite-volume discrete ordinate method and the space-marching finite-volume discrete ordinate method show that the explicit approach is more that an order of magnitude faster than the implicit approach, for the same accuracy.
H. Nordborg and A.A. Iordanidis. Self-consistent radiation based modelling of electric arcs: I. eﬃcient radiation approximations. Journal of Physics D: Applied Physics, 41(13):135205, 2008. doi:10.1088/0022-3727/41/13/135205.
A.A. Iordanidis and C.M. Franck. Self-consistent radiation-based simulation of electric arcs: II. application to gas circuit breakers. Journal of Physics D: Applied Physics, 41(13):135206, 2008. doi:10.1088/0022-3727/41/13/135206.
S.D. Eby, J.Y. Trépanier, and X.D. Zhang. Modelling radiative transfer in SF6 circuit-breaker arcs with the P1 approximation. Journal of Physics D: Applied Physics, 31(13):1578, 1998. doi:10.1088/0022-3727/31/13/012.
M.F. Modest. Chapter 16 - the method of spherical harmonics (PN -approximation). In M.F. Modest, editor, Radiative Heat Transfer (Third Edition), pages 495–540. Academic Press, Boston, 2013.
M. Melot, J.Y. Trépanier, R. Camarero, and E. Petro. Comparison of numerical models in radiative heat transfer with application to circuit-breaker simulations. Mathematics and Computers in Simulation, 82(12):2982 – 2996, 2012. doi:10.1016/j.matcom.2012.07.002.
M.Y. Kim. Assessment of the axisymmetric radiative heat transfer in a cylindrical enclosure with the ﬁnite volume method. International Journal of Heat and Mass Transfer, 51(21):5144–5153, 2008. doi:10.1016/j.ijheatmasstransfer.2008.03.012.
S. Dua and P. Cheng. Multi-dimensional radiative transfer in non-isothermal cylindrical media with non-isothermal bounding walls. International Journal of Heat and Mass Transfer, 18(2):245–259, 1975. doi:10.1016/0017-9310(75)90157-X.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).