## On a local multigrid mesh refinement method for solving Navier-Stokes equations. (Sur une méthode de raffinement local multigrille pour la résolution des équations de Navier-Stokes.)(French. Abridged English version)Zbl 0834.76065

We describe an original local mesh refinement technique based on a multigrid architecture on nested subdomains. We next present numerical results on natural convection inside a square cavity induced by a horizontal temperature gradient. The computations are performed for steady flows up to Rayleigh number $$10^7$$, and they are compared to reference solutions.

### MSC:

 76M25 Other numerical methods (fluid mechanics) (MSC2010) 76R10 Free convection 65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs