Adaptivity with moving grids
Adaptivity with moving grids
Adaptivity with moving grids
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116 C. J. Budd, W. Huang and R. D. Russell<br />
1.5<br />
1<br />
Solution to 1D Burgers<br />
t =0<br />
t =0.05<br />
t =0.2<br />
t =1<br />
t =1.4<br />
t =2<br />
0.5<br />
u<br />
0<br />
−0.5<br />
−1<br />
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1<br />
x<br />
Figure 5.8. The computed solution of Burgers’ equation<br />
in one dimension at times t =0, 0.05, 0.2, 1, 1.4, 2.<br />
2<br />
Burgers’ equation; grid trajectories<br />
1.8<br />
1.6<br />
1.4<br />
t<br />
1.2<br />
1<br />
0.8<br />
0.6<br />
0.4<br />
0.2<br />
0<br />
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1<br />
x<br />
Figure 5.9. The motion of the mesh points when solving<br />
Burgers’ equation in one dimension.
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