{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T18:32:39Z","timestamp":1787337159727,"version":"build-2736575974"},"reference-count":18,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2004,1]]},"abstract":"<jats:p>Turbulence models are examples of computer simulations that parameterize complicated phenomena and depend on artificial model parameters heuristically justified from empirical information and experimental data. To assess the confidence in the results of such a turbulence simulation, a derivative-based sensitivity analysis is carried out. The sensitivities of the flow over a backward-facing step w.r.t. parameters of the turbulence model are investigated. The standard k-$\\varepsilon$ model and the renormalization group (RNG) k-$\\varepsilon$ model are compared. Both turbulence models are implemented in the FLUENT code to which automatic differentiation is applied using the ADIFOR system. In our case studies, all turbulence models yield results that are rather sensitive to some of the modeling parameters.<\/jats:p>","DOI":"10.1137\/s1064827503426723","type":"journal-article","created":{"date-parts":[[2005,1,10]],"date-time":"2005-01-10T21:00:25Z","timestamp":1105390825000},"page":"510-522","source":"Crossref","is-referenced-by-count":18,"title":["Sensitivity Analysis of Turbulence Models Using Automatic Differentiation"],"prefix":"10.1137","volume":"26","author":[{"given":"Christian H.","family":"Bischof","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"H. Martin","family":"B\u00fccker","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Arno","family":"Rasch","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,26]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1109\/99.537089"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-024X(199712)27:12<1427::AID-SPE138>3.0.CO;2-Q"},{"key":"R3","doi-asserted-by":"crossref","unstructured":"C. H. Bischof, H. M. B\u00fccker, B. Lang, A. Rasch, and A. Vehreschild,\n                      Combining source transformation and operator overloading techniques to compute derivatives for MATLAB programs\n                      , in Proceedings of the Second IEEE International Workshop on Source Code Analysis and Manipulation (SCAM 2002), IEEE Computer Society, Los Alamitos, CA, 2002, pp. 65\u201372.","DOI":"10.1109\/SCAM.2002.1134106"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1145\/347837.347879"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1145\/293686.293695"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1996.0096"},{"key":"R7","unstructured":"A. Griewank,\n                      Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation\n                      , Frontiers Appl. 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Sci. 120, Springer\u2010Verlag, Berlin, 1981.","DOI":"10.1007\/3-540-10861-0"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1063\/1.858310"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7225(92)90148-A"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1016\/0045-7930(90)90029-W"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1007\/BF01061452"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1007\/BF01060210"}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S1064827503426723","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T17:47:07Z","timestamp":1787334427000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S1064827503426723"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":18,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["10.1137\/S1064827503426723"],"URL":"https:\/\/doi.org\/10.1137\/s1064827503426723","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,1]]}}}