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A discontinuous subgrid eddy viscosity method for the time-dependent Navier–Stokes equations. (English) Zbl 1096.76026
Summary: We provide an error analysis of a subgrid scale eddy viscosity method using discontinuous polynomial approximations for the numerical solution of incompressible Navier-Stokes equations. Optimal continuous in time error estimates of the velocity are derived. The analysis is completed with some error estimates for two fully discrete schemes, which are first and second order in time, respectively.
MSC:
76M10Finite element methods (fluid mechanics)
76D05Navier-Stokes equations (fluid dynamics)
65M60Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (IVP of PDE)
65M15Error bounds (IVP of PDE)