Modeling Error of α-Models of Turbulence on a Two-Dimensional Torus

Luigi C. Berselli (1) , Argus Adrian Dunca (2) , Roger Lewandowski (3, 4) , Dinh Duong Nguyen (3, 4)

1 DMA - Dipartimento di Matematica Applicata [Pisa]
2 UniBuc - University of Bucharest
3 IRMAR - Institut de Recherche Mathématique de Rennes
4 FLUMINANCE - Fluid Flow Analysis, Description and Control from Image Sequences

This paper is devoted to study the rate of convergence of the weak solutions u α of α-regularization models, namely the Leray-α, Navier-Stokes-α, modified Leray-α and simplified Bardina models, to the weak solution u of the Navier-Stokes equations in the two-dimensional case with subjecting to the periodic boundary conditions as the regularization parameter α goes to zero.

Mots clés: Rate of convergence; α-turbulence models; Navier-Stokes Equations

Domaines: Physique mathématique [math-ph]; Equations aux dérivées partielles [math.AP]

Luigi C. Berselli, Argus Adrian Dunca, Roger Lewandowski, Dinh Duong Nguyen. Modeling Error of α-Models of Turbulence on a Two-Dimensional Torus. 2020. ⟨hal-02469048v2⟩