SLIDE 6 @
!"#1
C-,".0
>+ + ++
i k k i k i k k r i r i
w y s s E y E
∈
= ∂ ∂ ∂ ∂ − = ∂ ∂ − =
) ( Downstream ) ( Downstream
δ ε
j j kj k
x w s
ki i k i k
w x s y s = ∂ ∂ = ∂ ∂
!"#1
$" (
% >+- - +!+- : % >+ -(+ +P O - ++ + ++!","! +- +(O - % 7 +!+ 3( (P+ + !(( +*!E+ % I+O*( ,"#
!"#11
$"+A
$!L,"! - L # ?+ -+ ! + 1 ++ ) ;+!+
) )( (
i i i i
y d s g − ′ = δ
′ =
) ( Downstream
) (
i k k ki i i
w s g δ δ
ij
w
j ix
δ
!"#1)
C--: +
% 7+: + + +--++- % + +: + +!++ "- +.*0++.0 % : M++
i
s i
e s g
−
+ = 1 1 ) ( ) 1 ( )) ( 1 )( ( ) (
i i i i i
y y s g s g s g − = − = ′
83# ?-+
!"#1
>+ ,"+
7E!+- ;+3 C!,"! +< ,!+ $+-# +- -+ + 7-#
r j r r i ij ij
x w w
← δ η
ij
w
r j r i x
δ
r j r i ij ij
x w w ηδ + ←
!"#1@
"
% $+- % 7-(3,
% N A (+ -!+ + % C- Q ,+ % *+: 3 + % C!," % N("(- % N(- , % =!"(,++ * ,