sont les matrices de convection de convection-diffusion du scalaire ` a coupler de taille N 2

. (D.3)

La matriceA(de taille(N

₁

+N

₂

)

2

) de couplage est diagonale par blocs o`ua

_i

(i= 1,2)

sont les matrices de convection de convection-diffusion du scalaire `a coupler de taille N

2

i

dans le domaine D

i

avec N

i

cellules. Dans les blocs extra-diagonaux nuls, on rajoute les

matrices diffusives de couplagec

₁

etc

₂

. On remarque que le syst`eme g´en´eral `a r´esoudre est

compos´e de deux produits matrice-vecteurs ind´ependants non-coupl´es. La premi`ere ´etape

consiste `a ´echanger h

eq

et Y

e

dans les cellules `a coupler puis afin d’´eviter de changer la

structure de la matrice A, on rajoute ces flux diffusifs d’´echange apr`es le produit

matrice-vecteur i.e. :

b= ^b

¹

b

₂ !

= (A+A

_c

)x= ^a

¹

⁰

0 a

₂ !

x+ ^{0 c}

¹

c

₂

0

!

x. (D.4)

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