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Ces h y p o t h e s e s d ' h o m o g 6 n 6 i t @ s t a t i s t i q u e s de la r @ p a r t i t i o n nuageuse et d ' i s o t r o p i e sont i n s @ p a r a b l e s d'une r @ s o l u t i o n h o m o g 6 n e et isotrope de l ' @ c o u l e m e n t de grande 6chelle. Si iron c o n s i d 6 r e le p r o b l 6 m e sous cet angle, (tr@s fr@quente jusqu'A ce jour) sph@riques (longitude-latitude) l'utilisation de r 6 s e a u x r~guliers en coordonn6es n'est pas v r a i m e n t appropri@e. La r @ s o l u t i o n e s t - o u e s t devient de plus en plus fine ~ mesure que l'on se r a p p r o c h e des pSles, l ' @ i o n g a t i o n des mailles dans le sens nord-sud, plus en plus accentu@e, et les modules de p a r a m @ t r i s a t i o n , en moins On sait par ailleurs que, satisfaisants.

253 (1972). 26. W. Difference Methods for Initial-Value Problems, Interseience Publishers, Second Edition (1967). 27. A. M. L. A. , Chapter II (1969). Phys. Fluids 14, p. 2234 (1971). Phys~ Fluids I0, p. 2596 (1967). SIAM Review 14, p. 582 (1972). Phys. Fluids 15, p. 103 (1972). NUMERICAL SIMULATION OF T H E TAYLOR-GREEN VORTEX S t e v e n A. A. INTRODUCTION In a c l a s s i c dynamical order evolution to c l a r i f y illustrates mechanisms of a model in a r e l a t i v e l y exceedingly useful as d i s c u s s e d the later In t h e and Green (1937) three-dimensional of t u r b u l e n c e .

There is a minimum value of the wave amplitude at t = 56 after which a slight growth can be observed, to the critical value. three Fourier terms. 485 is close In the Fourier-Hermite code we used 1200 Hermite terms and In the ASD method we used a 16 x 128 grid which assures about twice the resolution in both x as well as in v. 35 times faster. The third order ASD method was found Thus for comparable space and velocity resolution in this range the third order ASD method appears to be an order of magnitude faster than the Fourier-Hermite method.

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Abbriviations on ships

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