## Numerical studies of finite element variational multiscale methods for turbulent flow simulations.(English)Zbl 1406.76029

Summary: 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.

### MSC:

 76F65 Direct numerical and large eddy simulation of turbulence 76M10 Finite element methods applied to problems in fluid mechanics 76M30 Variational methods applied to problems in fluid mechanics

MooNMD
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### References:

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