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Adaptivity with moving grids

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120 C. J. Budd, W. Huang and R. D. Russell<br />

V<br />

θ<br />

9000<br />

9000<br />

8000<br />

8000<br />

7000<br />

7000<br />

z<br />

6000<br />

5000<br />

z<br />

6000<br />

5000<br />

4000<br />

4000<br />

3000<br />

3000<br />

2000<br />

2000<br />

1000<br />

1000<br />

−1 −0.5 0 0.5 1<br />

x<br />

x 10 6<br />

−5 0 5<br />

x<br />

x 10 5<br />

Figure 5.11. The (x, z) contours of the longitudinal velocity<br />

and potential temperature of the Eady problem close to the<br />

formation of a tropical storm.<br />

10000<br />

Arclength V monitor function<br />

10000<br />

Max eigenvalue monitor function<br />

9000<br />

9000<br />

8000<br />

8000<br />

7000<br />

7000<br />

z<br />

6000<br />

5000<br />

4000<br />

3000<br />

2000<br />

1000<br />

0<br />

−1 −0.5 0<br />

x<br />

0.5 1<br />

x 10 6<br />

z<br />

6000<br />

5000<br />

4000<br />

3000<br />

2000<br />

1000<br />

0<br />

−1 −0.5 0 0.5 1<br />

x<br />

x 10 6<br />

Figure 5.12. Two meshes adapted to the solution of the Eady<br />

problem presented above. In the first figure we use the arclength<br />

monitor function M 1 and in the second the potential vorticity<br />

monitor function M 2 .

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