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Numerical studies of finite element variational multiscale methods for turbulent flow simulations
Authors:Volker John  Adela Kindl
Affiliation:1. Department of Physics, Clarkson University, Potsdam, NY 13699-5820, USA;2. Donostia International Physics Center, P. Manuel de Lardizabal 4, E-20018 San Sebastián, Spain;3. Department of Theoretical Physics, Institute of Physics, Budapest University of Technology and Economics, H-1521 Budapest, Hungary;1. Institute for Computational Engineering and Sciences, The University of Texas at Austin, USA;2. Department of Aerospace Engineering Sciences, University of Colorado Boulder, USA;3. Department of Civil Engineering and Architecture, University of Pavia, Pavia, Italy;4. IMATI-CNR, Pavia, Italy;1. Institute of Mechanics, Karlsruhe Institute of Technology, Germany;2. Zienkiewicz Centre for Computational Engineering, College of Engineering, Swansea University, Singleton Park, SA2 8PP, United Kingdom;3. Department of Mathematics, College of Science, Swansea University, Singleton Park, SA2 8PP, United Kingdom;1. Department of Chemistry, Hetampur Raj High School, Hetampur, Birbhum 731124, West Bengal, India;2. Department of Chemistry, Physical Chemistry Section, Visva Bharati University, Santiniketan, Birbhum 731235, West Bengal, India;1. Wuhan National Laboratory for Optoelectronics, Huazhong University of Science and Technology, Wuhan 430074, PR China;2. College of Physical Science and Technology, Yangtze University, Jingzhou, 434023, PR China
Abstract:Different realizations of variational multiscale (VMS) methods within the framework of finite element methods are studied in turbulent channel flow simulations. One class of VMS methods uses bubble functions to model resolved small scales whereas the other class contains the definition of the resolved small scales by an explicit projection in its set of equations. All methods are employed with eddy viscosity models of Smagorinsky type. The simulations are performed on grids for which a Direct Numerical Simulation blows up in finite time.
Keywords:
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