Finite element error analysis for a projection-based variational multiscale method with nonlinear eddy viscosity

The paper presents a finite element error analysis for a projection-based variational multiscale (VMS) method for the incompressible Navier–Stokes equations. In the VMS method, the influence of the unresolved scales onto the resolved small scales is modeled by a Smagorinsky-type turbulent viscosity. © 2008 Elsevier Inc. All rights reserved