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version 4.2
authored
Oct 29, 2025
by
Udo Ziegler
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3-NIRVANA-user-guide/3.2-User-interfaces.md
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@@ -848,9 +848,9 @@ structure](3.1-Code-basics#mesh-data-structure).
There are two types of mesh variables: cell-averaged variables and
face-averaged variables. Cell-averaged variables are
$
\v
arrho,m_x,m_y,m_z,n_s,C_c$. It are
describ
ed by cell-centroid
$
\v
arrho,m_x,m_y,m_z,
\P
hi,
n_s,C_c$. It are
represent
ed by cell-centroid
coordinates. Face-averaged variables are the magnetic field components
$B_x,B_y,B_z$ (and testfields). It are
describ
ed by cell face-centroid
$B_x,B_y,B_z$ (and testfields). It are
represent
ed by cell face-centroid
coordinates.
Although a superblock
`g`
contains ghost cells (taking care of boundary
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@@ -922,7 +922,7 @@ range $[0,1]$. The mesh of the superblock is indexed by
**Important:**
The species number densities must be consistently defined
along with the mass density because of the conservation condition
$$
\s
um_s(
\m
u_s+
\m
u_e q_s)n_s =
\v
arrho/m_u,
\q
uad s=0,
{
\t
t
\
_
C.species}-1$$
$$
\s
um_s(
\m
u_s+
\m
u_e q_s)n_s =
\v
arrho/m_u,
\q
uad s=0,
mathtt{
_C.species}-1$$
where $
\m
u_s$, $q_s$ and $
\m
u_
\m
athrm{e}$ are the molecular weight,
charge of the s-th specie and the electron weight, respectively. In
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