25.12.2014 Views

East Asia and Western Pacific METEOROLOGY AND CLIMATE

East Asia and Western Pacific METEOROLOGY AND CLIMATE

East Asia and Western Pacific METEOROLOGY AND CLIMATE

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

500<br />

In order to show quantitatively the truth of these<br />

behaviours, Lyapunov exponent LE are computed (6,7,8) ,<br />

they are given in table 1.<br />

TABLE 1, Lyapunov exponent spectrum for chaotic<br />

<strong>and</strong> periodic attractor.<br />

Be^ 1 071<br />

p<br />

c<br />

S<br />

R;<br />

0-40<br />

0*5<br />

Q.IO<br />

R 6<br />

so<br />

50<br />

so<br />

LE, -<br />

0.00<br />

o.&8><br />

0.00<br />

LE,<br />

-O.S4<br />

0-00<br />

-0.75<br />

LE,<br />

-;.S8<br />

-/-o3<br />

-/.76<br />

Lt+<br />

-4.il<br />

-7:26<br />

-4.65<br />

LE 5<br />

-*8.&f<br />

-3i.8a<br />

-36-63<br />

V, The Interaction Of Internal Wave And Turbulence<br />

From Fig. 1, the internal gravity wave <strong>and</strong> turbulence<br />

may appear intermittently when R. approaches i. For<br />

example, the internal gravity wave extracts energy from<br />

the mean field to form a velocity field with a strength<br />

of 10 order for R =50,R. =0.40. But the internal wave<br />

may disappear until R.=0.20, <strong>and</strong> a chaotic field is<br />

formed.<br />

After the internal waves have been formed, the mean<br />

internal energy increases Tt "^^o when the temperature<br />

stratification is stable. Therefore 7-7^:> y«-y a ><br />

That is -CV-VaX-C Vo-Va) ><br />

or<br />

C*

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!