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Numerical simulations of diffusion in cellular flows at high Péclet numbers
2010
Discrete and continuous dynamical systems. Series B
We study numerically the solutions of the steady advection-diffusion problem in bounded domains with prescribed boundary conditions when the Péclet number Pe is large. We approximate the solution at high, but finite Péclet numbers by the solution to a certain asymptotic problem in the limit Pe → ∞. The asymptotic problem is a system of coupled 1-dimensional heat equations on the graph of streamline-separatrices of the cellular flow, that was developed in [24] . This asymptotic model is
doi:10.3934/dcdsb.2011.15.75
fatcat:2ommq26wovgjvhqo2xofme2ijm