{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T10:07:09Z","timestamp":1774865229343,"version":"3.50.1"},"reference-count":13,"publisher":"Emerald","issue":"4","license":[{"start":{"date-parts":[[1999,6,1]],"date-time":"1999-06-01T00:00:00Z","timestamp":928195200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1999,6,1]]},"abstract":"<jats:p>The finite volume method for radiative heat transfer calculations has been parallelized using two strategies, the angular domain decomposition and the spatial domain decomposition. In the first case each processor performs the calculations for the whole domain and for a subset of control angles, while in the second case each processor deals with all the control angles but only treats a spatial subdomain. The method is applied to three\u2010dimensional rectangular enclosures containing a grey emitting\u2010absorbing medium. The results obtained show that the number of iterations required to achieve convergence is independent of the number of processors in the angular decomposition strategy, but increases with the number of processors in the domain decomposition method. As a consequence, higher parallel efficiencies are obtained in the first case. The influence of the angular discretization, grid size and absorption coefficient of the medium on the parallel performance is also investigated.<\/jats:p>","DOI":"10.1108\/09615539910266576","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T02:08:10Z","timestamp":1027735690000},"page":"388-406","source":"Crossref","is-referenced-by-count":17,"title":["Parallelization of the finite volume method for radiation heat transfer"],"prefix":"10.1108","volume":"9","author":[{"given":"P.J.","family":"Coelho","sequence":"first","affiliation":[]},{"given":"J.","family":"Gon\u00e7alves","sequence":"additional","affiliation":[]}],"member":"140","reference":[{"key":"key2022012520223885300_b1","doi-asserted-by":"crossref","unstructured":"1. Raithby, G.D. and Chui, E.H., \u201cA finite\u2010volume method for predicting radiant heat transfer in enclosures with participating media\u201d, Journal of Heat Transfer, Vol. 112, 1990, pp. 415\u201023.","DOI":"10.1115\/1.2910394"},{"key":"key2022012520223885300_b2","unstructured":"2. Gritzo, L.A., Skocypec, R.D. and Tong, T.W., \u201cThe use of high\u2010performance computing to solve participating media radiative heat transfer problems \u2013 results of an NSF workshop\u201d, Sandia Report, SAND95\u20100225, 1995."},{"key":"key2022012520223885300_b3","doi-asserted-by":"crossref","unstructured":"3. Howell, J.R., \u201cThermal radiation in participating media: the past, the present, and some possible futures\u201d, Journal of Heat Transfer, Vol. 110, 1998, pp. 1220\u20109.","DOI":"10.1115\/1.3250622"},{"key":"key2022012520223885300_b4","doi-asserted-by":"crossref","unstructured":"4. Gon\u00e7alves, J. and Coelho, P.J., \u201cParallelization of the discrete ordinates method\u201d, Numerical Heat Transfer, Part B: Fundamentals, Vol. 32, 1997, pp. 151\u201073.","DOI":"10.1080\/10407799708915003"},{"key":"key2022012520223885300_b5","unstructured":"5. Novo, P.J., Coelho, P.J. and Carvalho, M.G., \u201cParallelization of the discrete transfer method: two different approaches\u201d, ASME HTD, Vol. 235, 1996, pp. 45\u201054."},{"key":"key2022012520223885300_b6","doi-asserted-by":"crossref","unstructured":"6. Coelho, P.J., Gon\u00e7alves, J. and Novo, P., \u201cParallelization of the discrete ordinates method: two different approaches\u201d, Vector and Parallel Processing \u2013 VECPAR\u201996, Springer\u2010Verlag, Lecture Notes in Computer Science, 1215, 1997, pp. 222\u201035.","DOI":"10.1007\/3-540-62828-2_122"},{"key":"key2022012520223885300_b7","doi-asserted-by":"crossref","unstructured":"7. Chai, J.C., Lee, H.S. and Patankar, S.V., \u201cFinite volume method for radiation heat transfer\u201d, Journal of Thermophysics and Heat Transfer, Vol. 8, 1994, pp. 419\u201025.","DOI":"10.2514\/3.559"},{"key":"key2022012520223885300_b8","doi-asserted-by":"crossref","unstructured":"8. Chai, J.C., Patankar, S.V. and Lee, H.S., \u201cEvaluation of spatial differencing practices for the discrete\u2010ordinates method\u201d, J. Thermophysics and Heat Transfer, Vol. 8, 1994, pp. 140\u20104.","DOI":"10.2514\/3.512"},{"key":"key2022012520223885300_b9","unstructured":"9. Hyde, D.J. and Truelove, J.S., \u201cThe discrete ordinates approximation for multi\u2010dimensional radiant heat transfer in furnaces\u201d, AERE R\u20108502, AERE Harwell, UK, 1977."},{"key":"key2022012520223885300_b10","doi-asserted-by":"crossref","unstructured":"10. Jamaluddin, A.S. and Smith, P.J., \u201cPredicting radiative transfer in rectangular enclosures using the discrete ordinates method\u2019\u2019, Combustion Science and Technology, Vol. 59, 1988, pp. 321\u201040.","DOI":"10.1080\/00102208808947103"},{"key":"key2022012520223885300_b11","unstructured":"11. Carvalho, M.G., Farias, T. and Fontes, P., \u201cPredicting radiative heat transfer in absorbing, emitting and scattering media using the discrete transfer method\u2019\u2019, ASME FED, Vol. 160, 1991, pp. 17\u201026."},{"key":"key2022012520223885300_b12","doi-asserted-by":"crossref","unstructured":"12. Meng\u00fc\u00e7, M.P. and Viskanta, R., \u201cRadiative transfer in three\u2010dimensional rectangular enclosures containing inhomogeneous anisotropically scattering media\u201d, J. Quant. Spectrosc. Radiative Transfer, Vol. 33, 1985, pp. 533\u201049.","DOI":"10.1016\/0022-4073(85)90021-4"},{"key":"key2022012520223885300_b13","unstructured":"13. Coelho, P.J., Gon\u00e7alves, J.M. and Carvalho, M.G., \u201cA comparative study of radiation models for coupled fluid flow\/heat transfer problems\u201d, Numerical Methods in Thermal Problems, Vol. IX, Part 1, 1995, pp. 378\u201089."}],"container-title":["International Journal of Numerical Methods for Heat &amp; Fluid Flow"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.emeraldinsight.com\/doi\/full-xml\/10.1108\/09615539910266576","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/09615539910266576\/full\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/09615539910266576\/full\/html","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,25]],"date-time":"2025-07-25T00:18:08Z","timestamp":1753402688000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.emerald.com\/hff\/article\/9\/4\/388-406\/92153"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,6,1]]},"references-count":13,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1999,6,1]]}},"alternative-id":["10.1108\/09615539910266576"],"URL":"https:\/\/doi.org\/10.1108\/09615539910266576","relation":{},"ISSN":["0961-5539"],"issn-type":[{"value":"0961-5539","type":"print"}],"subject":[],"published":{"date-parts":[[1999,6,1]]}}}