A finite element variational multiscale method for the Navier-Stokes equations

Date

2005-01-01

Author

Volker, John
Kaya Merdan, Songül

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This paper presents a variational multiscale method (VMS) for the incompressible Navier-Stokes equations which is defined by a large scale space L-H for the velocity deformation tensor and a turbulent viscosity nu(T). The connection of this method to the standard formulation of a VMS is explained. The conditions on L-H 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 Smagorinsky large eddy simulation model for nu(T) are presented.

Subject Keywords

Applied Mathematics, Computational Mathematics

URI

https://hdl.handle.net/11511/42552

Journal

SIAM JOURNAL ON SCIENTIFIC COMPUTING

DOI

https://doi.org/10.1137/030601533

Collections

Department of Mathematics, Article

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Citation Formats

J. Volker and S. Kaya Merdan, “A finite element variational multiscale method for the Navier-Stokes equations,” SIAM JOURNAL ON SCIENTIFIC COMPUTING, pp. 1485–1503, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42552.