Adaptive modeling of turbulent flow with residual based turbulent kinetic energy dissipation |
| |
| Authors: | Johan Hoffman Johan Jansson Rodrigo Vilela De Abreu |
| |
| Affiliation: | 1. Grassland, Soil & Water Research Laboratory, USDA-ARS, 808 East Blackland Road, Temple, TX 76502, USA;2. Blackland Research and Extension Center, Texas A&M University, 720 East Blackland Road, Temple, TX 76502, USA;3. Department of Environmental Science and Technology, University of Maryland, College Park, MD 20742, USA;4. School of Forestry and Wildlife Science, Auburn University, 602 Duncan Dr., Auburn, AL 36849, USA;5. Civil Engineering Department, Canik Basari University, Gürgenyatak köyü 55080 Canik/SAMSUN, Turkey;6. Biosystems Engineering Department, Auburn University, Auburn, AL 36849, USA;1. Irstea, UR HHLY, Hydrology-Hydraulics, 5 rue de la Doua, CS 70077, 69626 Villeurbanne Cedex, France;2. University of Lyon, UMR CNRS 5600 EVS, France;3. Thüringer Landesanstalt für Umwelt und Geologie (TLUG), Germany;4. Department of Geoinformatics, Friedrich Schiller University of Jena, Germany;5. AgroParisTech, F-75005 Paris, France;1. Institute for Applied Mathematics, Heidelberg University, 69120 Heidelberg, Germany;2. Bioquant, Heidelberg University, 69120 Heidelberg, Germany;3. Université de Lyon, Lyon, F-69003, France; Université Lyon 1, Institut Camille Jordan, UMR 5208, Bât. Braconnier, 43, Bd du 11 novembre 1918, 69622, Villeurbanne Cedex, France;1. Department of Mathematics, College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;2. Department of Mathematics, University of Macau, Macao SAR, China;3. Zhuhai UM Science & Technology Research Institute, Guangdong, China;1. Department of Forest Resources Management 2404, University of British Columbia, 2424 Main Mall, Vancouver, BC V6T 1Z4, Canada;2. Department of Forest Resources Management 2030, 2424 Main Mall, Vancouver, BC V6T 1Z4, Canada;3. USDA Forest Service, Southern Research Station, Center for Forest Watershed Research, Coweeta Hydrologic Lab, 3160 Coweeta Lab Road, Otto, NC 28734, USA |
| |
| Abstract: | In this paper we first review our recent work on a new framework for adaptive turbulence simulation: we model turbulence by weak solutions to the Navier–Stokes equations that are wellposed with respect to mean value output in the form of functionals, and we use an adaptive finite element method to compute approximations with a posteriori error control based on the error in the functional output. We then derive a local energy estimate for a particular finite element method, which we connect to related work on dissipative weak Euler solutions with kinetic energy dissipation due to lack of local smoothness of the weak solutions. The ideas are illustrated by numerical results, where we observe a law of finite dissipation with respect to a decreasing mesh size. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
