Modélisation, analyse mathématique et simulations numériques de ...
Modélisation, analyse mathématique et simulations numériques de ...
Modélisation, analyse mathématique et simulations numériques de ...
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tel-00656013, version 1 - 3 Jan 2012<br />
3.2 Numerical experiments 77<br />
free surface and the velocity field insi<strong>de</strong> the fluid, for these two choices. We observe the<br />
multilayer aspects of the velocity field, that is appearance of vorteces, becoming more<br />
visible when we take a larger number of layers.<br />
0.12<br />
0.1<br />
0.08<br />
0.06<br />
0.04<br />
0.02<br />
0.12<br />
0<br />
0 0.2 0.4 0.6 0.8 1<br />
0.1<br />
0.08<br />
0.06<br />
0.04<br />
0.02<br />
0.12<br />
0.1<br />
0.08<br />
0.06<br />
0.04<br />
0.02<br />
(a) (b)<br />
0<br />
0 0.2 0.4 0.6 0.8 1<br />
0.12<br />
0.08<br />
0.06<br />
0.04<br />
0.02<br />
(c) (d)<br />
0<br />
0 0.2 0.4 0.6 0.8 1<br />
0.1<br />
0<br />
0 0.2 0.4 0.6 0.8 1<br />
Figure 3.7: Evolution of the velocity field for initial data (3.2.6)for t = 1 (left) and t = 10<br />
(right): 5 layers (a),(b), and 15 layers (c), (d).
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