Finite element error analysis for a projection-based variational multiscale method with nonlinear eddy viscosity. (English) Zbl 1154.76032
Summary: The paper presents a finite element error analysis for a projection-based variational multiscale (VMS) method for incompressible Navier-Stokes equations. In the VMS method, the influence of unresolved scales on the resolved small scales is modeled by a Smagorinsky-type turbulent viscosity.
MSC:
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 76M30 | Variational methods applied to problems in fluid mechanics |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 76F65 | Direct numerical and large eddy simulation of turbulence |
Software:
MooNMDReferences:
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