, Mesh adaptation with the subscales error estimator 4.1. Principles of anisotropic mesh adaptation

, Isotropic mesh adaptation with the subscales error estimator 4.3. Combination of subscales error estimator with anisotropic mesh adap- tation

, Numerical examples

, Case 1: Driven flow cavity problem in 2D

, Case 2: Driven flow cavity problem in 3D 6. Conclusions References

A. Ern and J. Guermond, ´ Eléments finis: théorie, applications, mise en oeuvre, p.0, 2002.

T. J. Hughes, Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods, Computer Methods in Applied Mechanics and Engineering, vol.127, issue.1-4, pp.387-401, 1995.
DOI : 10.1016/0045-7825(95)00844-9

E. Hachem, B. Rivaux, T. Kloczko, H. Digonnet, and T. Coupez, Stabilized finite element method for incompressible flows with high Reynolds number, Journal of Computational Physics, vol.229, issue.23, pp.8643-8665, 2010.
DOI : 10.1016/j.jcp.2010.07.030
URL : https://hal.archives-ouvertes.fr/hal-00521881

R. Codina, Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.13-14, pp.13-14, 2000.
DOI : 10.1016/S0045-7825(00)00254-1

G. Hauke, D. Fuster, and F. Lizarraga, Variational multiscale a posteriori error estimation for systems: The Euler and Navier???Stokes equations, Computer Methods in Applied Mechanics and Engineering, vol.283, pp.1493-1524, 2015.
DOI : 10.1016/j.cma.2014.10.032
URL : https://hal.archives-ouvertes.fr/hal-01580837