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

Caltagirone, Jean-Paul; Khadra, Khodor; Angot, Philippe

C. R. Acad. Sci., Paris, Sér. II, Fasc. b 320, No. 6, 295-302 (1995).

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

Keywords:

implicit scheme; staggered grids; augmented Lagrangian method; BI-CGSTAB; MILU; finite volume method; square cavity; horizontal temperature gradient