Modélisation, analyse mathématique et simulations numériques de ...

tel-00656013, version 1 - 3 Jan 2012
1.2
1
0.8
0.6
0.4
0.2
0
−10 −5 0 5 10
1.2
1
0.8
0.6
0.4
0.2
1.2
1
0.8
0.6
0.4
0.2
(a) (b)
0
−10 −5 0 5 10
0
−10 −5 0 5 10
1.2
1
0.8
0.6
0.4
0.2
(c) (d)
0
−10 −5 0 5 10
Figure 3.9: Free surface and velocity field, subcritical flow, for in-out conditions (3.2.8), 15
layers initially, at times t = 0 (15 layers)(a), t = 0.4 (15 layers)(b), t = 2 (13 layers)(c),
and final time t = 45 (13 layers)(d).