Operator-splitting and Lagrange multiplier domain decomposition methods for numerical simulation of two coupled Navier-Stokes fluids

Bresch, D. ; Koko, J.

International Journal of Applied Mathematics and Computer Science, Tome 16 (2006) no. 4, pp. 419-429.

Résumé

We present a numerical simulation of two coupled Navier-Stokes flows, using operator-splitting and optimization-based nonoverlapping domain decomposition methods. The model problem consists of two Navier-Stokes fluids coupled, through a common interface, by a nonlinear transmission condition. Numerical experiments are carried out with two coupled fluids; one with an initial linear profile and the other in rest. As expected, the transmission condition generates a recirculation within the fluid in rest.

Détail

Keywords: domain decomposition, duality, conjugate gradient, Navier-Stokes flows
Mots-clés : dwoistość, gradient sprzężony, przepływ Naviera-Stokesa

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