Computing Methods in Applied Sciences and Engineering Part by T. D. Butler (auth.), R. Glowinski, J. L. Lions (eds.)

Computing Methods in Applied Sciences and Engineering Part by T. D. Butler (auth.), R. Glowinski, J. L. Lions (eds.)

By T. D. Butler (auth.), R. Glowinski, J. L. Lions (eds.)

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Read Online or Download Computing Methods in Applied Sciences and Engineering Part 2: International Symposium, Versailles, December 17–21, 1973 PDF

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Extra resources for Computing Methods in Applied Sciences and Engineering Part 2: International Symposium, Versailles, December 17–21, 1973

Sample text

La cl~ de ce p r o b l ~ m e est une th~orie statistique des interactions entre les mouvements explicites du module et les mouvements d'~chelle plus petite. Cette th~orie doit faire appel ~ un certain hombre d ' h y p o t h ~ s e s simplificatrices. Entre autres, il est naturel d'admettre l'isotropie 24 et l ~ h o m o g @ n @ i t @ statistique des m o u v e m e n t s d'@chelle une centaine de kilom~tres. fond@e. Toutefois, Cette h y p o t h ~ s e est p h y s i q u e m e n t bien les modes dont on repr@sente sont d@finis dans le module com~e t o u s l e s la troncature.

A magneto-piasma~ variables v These simulations os- In Section IV we consider electrostatic waves in require one space variable~ x, and two velocity and v . Here we show results related to perpendicularly x y elotron harmonic waves. propagating ey- 39 II. NUMERICAL SOLUTION OF THE KORTEWEG-DE VRIES-BURGERS EQUATION In this section we consider the Korteweg-de Vries-Burgers equation 18 ~u + 2 u ~u 2-T - ~2u + ~ ~3u - YTx- ~ ~x2 ~ = 0, (i) where ~ is the coefficient of diffusivity and ~ is the dispersive parameter.

R E P R E S E N T A T I O N POLYEDRALE Nous p r e n d r o n s pour exemple une forme tr~s simplifi~e des ~quations du probl~me, ~ savoir les ~quations qui gouvernent ment d'une eau peu profonde, de densit~ uniforme, l'~coule- ~ surface libre. La m~thode utilis~e se g~n~ralise n a t u r e l l e m e n t aux ~quations compl~tes d'une atmosphere en ~quilibre hydrostatique. Si l'on d~signe par ~ le vecteur vitesse h o r i z o n t a l , e t par ~ le g~opotentiel de la surface libre, les ~quations sont les suivantes: ~-{ +~ (f+rot$) ~ × ~ + grad(~+~V--~ , 2) = 0 (I) f repr~sente plan~te, ici le rotationnel d ' e n t r a i n e m e n t dQ ~ la rotation de la k le vecteur unitaire normal ~ la sphere.

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