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Markus Holzer
lbmpy
Commits
7ae8e2b3
Commit
7ae8e2b3
authored
Dec 19, 2019
by
Michael Kuron
Browse files
minor documentation fix for Shan-Chen
parent
ef7c7239
Changes
2
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doc/notebooks/07_tutorial_shanchen_twophase.ipynb
View file @
7ae8e2b3
...
...
@@ -54,11 +54,11 @@
## Force & combined velocity
%% Cell type:markdown id: tags:
The force on the fluid is
$
\v
ec{F}_A(
\v
ec{x})=-
\p
si(
\r
ho_A(
\v
ec{x}))g_{AA}
\s
um
\l
imits_{i=1}^{
19
}w_i
\p
si(
\r
ho_A(
\v
ec{x}+
\v
ec{c}_i))
\v
ec{c}_i$
$
\v
ec{F}_A(
\v
ec{x})=-
\p
si(
\r
ho_A(
\v
ec{x}))g_{AA}
\s
um
\l
imits_{i=1}^{
q
}w_i
\p
si(
\r
ho_A(
\v
ec{x}+
\v
ec{c}_i))
\v
ec{c}_i$
with
$
\p
si(
\r
ho)=
\r
ho_0
\l
eft[1-
\e
xp(-
\r
ho/
\r
ho_0)
\r
ight]$.
%% Cell type:code id: tags:
...
...
doc/notebooks/08_tutorial_shanchen_twocomponent.ipynb
View file @
7ae8e2b3
...
...
@@ -72,11 +72,11 @@
The force value is not written to a field, but directly evaluated inside the collision kernel.
%% Cell type:markdown id: tags:
The force between the two components is
$
\v
ec{F}_k(
\v
ec{x})=-
\p
si(
\r
ho_k(
\v
ec{x}))
\s
um
\l
imits_{k^
\p
rime
\i
n
\{
A,B
\}
}g_{kk^
\p
rime}
\s
um
\l
imits_{i=1}^{
19
}w_i
\p
si(
\r
ho_{k^
\p
rime}(
\v
ec{x}+
\v
ec{c}_i))
\v
ec{c}_i$
$
\v
ec{F}_k(
\v
ec{x})=-
\p
si(
\r
ho_k(
\v
ec{x}))
\s
um
\l
imits_{k^
\p
rime
\i
n
\{
A,B
\}
}g_{kk^
\p
rime}
\s
um
\l
imits_{i=1}^{
q
}w_i
\p
si(
\r
ho_{k^
\p
rime}(
\v
ec{x}+
\v
ec{c}_i))
\v
ec{c}_i$
for $k
\i
n
\{
A,B
\}
$
and with
$
\p
si(
\r
ho)=
\r
ho_0
\l
eft[1-
\e
xp(-
\r
ho/
\r
ho_0)
\r
ight]$.
%% Cell type:code id: tags:
...
...
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