Abstract:
A procedure of approximate solving of the radiation transfer problem is presented. The approximated solution is being built successively from the domain border along the direction of radiation propagation. The algorithm was tested for model problem of hot ball radiation.
Keywords:
radiative transfer problem, space-marching algorithm, short-characteristics method.
Funding agency
Grant number
Grant of the President of the Russian Federation for State Support of Young Russian Scientists — Candidates of Science
MK-3138.2014.1
Received: 12.02.2014 Revised: 28.03.2014
Document Type:
Article
UDC:519.63
Language: Russian
Citation:
Yu. I. Skalko, R. N. Karasev, A. V. Akopyan, I. V. Tsybulin, M. A. Mendel', “Space-marching algorithm for solving radiative transfer problem basedon short-characteristics method”, Computer Research and Modeling, 6:2 (2014), 203–215
\Bibitem{SkaKarAko14}
\by Yu.~I.~Skalko, R.~N.~Karasev, A.~V.~Akopyan, I.~V.~Tsybulin, M.~A.~Mendel'
\paper Space-marching algorithm for solving radiative transfer problem basedon short-characteristics method
\jour Computer Research and Modeling
\yr 2014
\vol 6
\issue 2
\pages 203--215
\mathnet{http://mi.mathnet.ru/crm314}
\crossref{https://doi.org/10.20537/2076-7633-2014-6-2-203-215}
Linking options:
https://www.mathnet.ru/eng/crm314
https://www.mathnet.ru/eng/crm/v6/i2/p203
This publication is cited in the following 4 articles:
Yu I Skalko, S Yu Gridnev, “Review and comparative analysis of computational algorithms for modeling the dynamics of elastically supported structural systems”, IOP Conf. Ser.: Mater. Sci. Eng., 1083:1 (2021), 012002
G. O. Astafurov, “Algoritm obkhoda yacheek v kharakteristicheskikh metodakh resheniya uravneniya perenosa”, Preprinty IPM im. M. V. Keldysha, 2018, 193, 24 pp.
E. N. Aristova, G. O. Astafurov, “Characteristics scheme for the transport equation solving on a tetrahedron grid with barycentrical interpolation”, Math. Models Comput. Simul., 11:3 (2019), 349–359
E. N. Aristova, G. O. Astafurov, “The second order short-characteristics method for the solution of the transport equation on a tetrahedron grid”, Math. Models Comput. Simul., 9:1 (2017), 40–47