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


Volker J., KAYA MERDAN S.

SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol.26, no.5, pp.1485-1503, 2005 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 5
  • Publication Date: 2005
  • Doi Number: 10.1137/030601533
  • Journal Name: SIAM JOURNAL ON SCIENTIFIC COMPUTING
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.1485-1503
  • Keywords: variational multiscale method, finite element method, Navier-Stokes equations, turbulent flows, LARGE-EDDY SIMULATION, BENCHMARK PROBLEM, SCALE, VISCOSITY

Abstract

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.