Large eddy simulation models for incompressible magnetohydrodynamics derived from the variational multiscale formulation

2012 ◽  
Vol 19 (10) ◽  
pp. 102308 ◽  
Author(s):  
David Sondak ◽  
Assad A. Oberai
AIAA Journal ◽  
2020 ◽  
Vol 58 (10) ◽  
pp. 4522-4533
Author(s):  
Jan-Erik Schumann ◽  
Siavash Toosi ◽  
Johan Larsson

2016 ◽  
Vol 14 (05) ◽  
pp. 1750049 ◽  
Author(s):  
Lin-Feng Chen ◽  
Xu-Qu Hu

A POD-based variational multiscale method (VMM) for large eddy simulation (LES) of turbulent channel flows is proposed. The incompressible Navier–Stokes equations are solved using a residual-based VMM technique, and the residual-based model coefficient is adopted from Taylor et al. [1998] “Finite element modeling of blood flow in arteries,” Comput. Methods in Appl. Mech. Eng. 158(1–2), 155–196. A generalized-[Formula: see text] method is applied for the temporal integration. Numerical results show that four or higher wall-normal modes need to be applied for reproducing most of the turbulent characteristics. Results of large vortex structures and the low velocity streaks prove that the turbulent channel flows are well estimated by the proposed approach. The statistical analysis of the turbulent velocities confirms its reliability in turbulent channel flows.


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