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Titlebook: Mathematical and Numerical Foundations of Turbulence Models and Applications; Tomás Chacón Rebollo,Roger Lewandowski Book 2014 Springer Sc

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Finite Element Approximation of Evolution Smagorinsky Model,ady case, we shall consider this model as intrinsically discrete. We consider a semi-implicit discretization in time by the Euler method as a model time discretization. We analyze stability, error, and well-posedness for all flow regimes and study the asymptotic error balance.
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A Projection-Based Variational Multiscale Model,ge of small resolved scales. We prove stability and perform a convergence analysis to the Navier–Stokes equations, including wall laws, in steady and unsteady regimes. We analyze the asymptotic convergence balance. We finally prove that this method attempts optimal accuracy for smooth flows.
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Numerical Approximation of NS-TKE Model,duction term so as a smooth friction boundary condition for the TKE. In the steady case we prove stability and strong convergence to a weak solution. In the evolution case we consider a semi-implicit Euler scheme that decouples velocity and TKE. We prove the stability of the scheme and weak converge
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Numerical Approximation of NS-TKE Model,In the evolution case we consider a semi-implicit Euler scheme that decouples velocity and TKE. We prove the stability of the scheme and weak convergence to a limit problem in which the TKE only verifies a variational inequality.
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