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On all graphs, results have been obtained with space steps $\Delta x= \Delta y=10^{-3}$ and with time step $\Delta t=5.10^{-3}$.
We remember that the 2D-Burgers equation is a non dimensional equation, and so, time steps which will be appears possess no dimension.  The objectives are not to study a real physical flow given by the 2-D Burgers equation, we just visualize some results calcultated with two different Reynolds numbers and two different tranversal  advection speeds.  Equally, in this study,  numericals methods are just a tool which are only use to solve the 2-D Burgers equation, and so, we don't make any study about the optimal grid, schemes stability etc...


Alban Depoutre