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# A Finite Element Variational Multiscale Method for the Navier-Stokes Equations

@article{John2005AFE, title={A Finite Element Variational Multiscale Method for the Navier-Stokes Equations}, author={Volker John and Song{\"u}l Kaya}, journal={SIAM J. Scientific Computing}, year={2005}, volume={26}, pages={1485-1503} }

- Published 2005 in SIAM J. Scientific Computing
DOI:10.1137/030601533

This paper presents a variational multiscale method (VMS) for the incompressible Navier–Stokes equations which is defined by a large scale space LH for the velocity deformation tensor and a turbulent viscosity νT . The connection of this method to the standard formulation of a VMS is explained. The conditions on LH under which the VMS can be implemented easily and efficiently into an existing finite element code for solving the Navier–Stokes equations are studied. Numerical tests with the… CONTINUE READING

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