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Simplified Spherical Harmonics (
SP
N
) Even-Parity Equation Set
Radiation transport equations:
+
m, g
+
=
+
B
g
+
s
g
,
m, g
+
+
m, g
=
v
m, g
for
m
= 1,
M
, and
g
= 1,
G
.
Temperature equations:
C
vi
=
T
e
-
T
i
+
Q
i
,
C
ve
=
T
i
-
T
e
+
Q
e
+
-
B
g
,
where
=
Even-parity pseudo-angular energy intensity,
m, g
=
Even-parity pseudo-angular energy current,
s
g
=
-
(0)
g
.
,
v
m, g
=
3
P
g
+
,
=
w
m
,
P
g
=
w
m
,
g
=
m, g
w
m
,
=
-2
(0)
g
.
,
(0)
g
=
g
-
P
g
+
,
M
=
N
+ 1
/2 .
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Diffusion (P
1
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Michael L. Hall