Reassessment of the wall functions approach for RANS computations |
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| Institution: | 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;2. School of Civil Engineering and Architecture, Nanchang University, Nanchang 330031, China;3. China Ship Scientific Research Center, Wuxi 214082, China;1. Universidade Aberta and CEMAT-Ciências, Faculdade de Ciências, Universidade de Lisboa, 1749-016, Lisboa, Portugal;2. Instituto Superior Técnico, Universidade de Lisboa, 1749-016, Lisboa, Portugal;3. Mathematical Institute, University of St Andrews, St Andrews, Fife KY16 9SS, Scotland, United Kingdom;4. Department of Mathematics and Statistics, Mississippi State University, PO Drawer MA, Mississippi State, MS 39762, USA;5. IAM, University of Primorska, Koper 6000, Slovenia;6. Department of Mathematics, Colorado State University, 1874 Campus Delivery, Fort Collins, CO 80523-1874, USA;7. Department of Mathematics and CAMGSD, Instituto Superior Técnico, Universidade de Lisboa, 1049-001, Lisboa, Portugal;1. Université Clermont Auvergne, Université Blaise Pascal, Institut Pascal, BP 10448, F-63000 Clermont-Ferrand, France;2. CNRS, UMR 6602, IP, F-63178 Aubière, France;3. Université Clermont Auvergne, SIGMA Clermont, Institut Pascal, BP 10448, F-63000 Clermont-Ferrand, France;1. Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA;2. University of Tennessee, Knoxville, TN 37996, USA;3. Saudi Arabia Basic Industries Corporation Americas, Sugar Land, TX 77478, USA;4. Separation Design Group, Waynesburg, PA 15370, USA;5. Fiat Chrysler Automobiles US LLC, Auburn Hills, MI 48326, USA;1. Departamento de Matemática, Faculdade de Ciências, Universidade de Lisboa, Bloco C6, Piso 2, Campo Grande 1700-016 Lisboa, Portugal;2. Lomonosov Moscow State University, Moscow, 119991, Russia;3. Moscow Center for Fundamental and Applied Mathematics, Moscow, 119991, Russia;4. Moscow Institute of Physics and Technology, Dolgoprudny, 141701, Russia;5. National Research University Higher School of Economics, 101978, Russia |
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| Abstract: | To assert the validity of the wall law approach in a RANS code, the results obtained with this approach are compared with those obtained from computations with fine meshes for which the turbulence models, including wall damping functions, are integrated down to the wall. It is shown that a very simple representation of the velocity profile in the wall region gives good results for transonic flows over airfoils with shock wave/boundary layer interaction leading to separation. Moreover, it is also shown that the heat flux can be correctly predicted in separated regions. The case of the infinite swept wing near separation is also considered and gives excellent results.Four popular turbulence models, k–ε, k–ω, k–l and Spalart Allmaras, have been used for the study, but the approach can be extended to other models. |
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