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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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@@ -947,9 +947,13 @@ divergence-free setup:
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@@ -947,9 +947,13 @@ divergence-free setup:
components by exact integration of given analytical expressions. For a
components by exact integration of given analytical expressions. For a
grid cell (ix,iy,iz) on superblock
`g`
the discretized components would then
grid cell (ix,iy,iz) on superblock
`g`
the discretized components would then
read
read

`g->bx[iz][iy][ix]`
$=
\f
rac{1}{
\d
elta
\m
athcal{A}_x}
\i
nt
`g->bx[iz][iy][ix]`
$=
\f
rac{1}{
\d
elta
\m
athcal{A}_x}
\i
nt
\l
imits_
\m
athtt{g->y[iy]}^
\m
athtt{g->y[iy+1]}
\l
imits_
\m
athtt{g->y[iy]}^
\m
athtt{g->y[iy+1]}
\i
nt
\l
imits_
\m
athtt{g->z[iz]}^
\m
athtt{g->z[iz+1]} B_x(
\m
athtt{g->x[ix]},y,z)h_yh_zdydz$
\i
nt
\l
imits_
\m
athtt{g->z[iz]}^
\m
athtt{g->z[iz+1]} B_x(
\m
athtt{g->x[ix]},y,z)h_yh_zdydz$
$$
\m
athtt{g->by
[
iz
][
iy
]
[ix]}=
\f
rac{1}{
\d
elta
\m
athcal{A}_y}
\i
nt
$$
\m
athtt{g->by
[
iz
][
iy
]
[ix]}=
\f
rac{1}{
\d
elta
\m
athcal{A}_y}
\i
nt
\l
imits_
\m
athtt{g->x[ix]}^
\m
athtt{g->x[ix+1]}
\l
imits_
\m
athtt{g->x[ix]}^
\m
athtt{g->x[ix+1]}
\i
nt
\l
imits_
\m
athtt{g->z[iz]}^
\m
athtt{g->z[iz+1]} B_y(x,
\m
athtt{g->y[iy]},z)h_zdxdz$$
\i
nt
\l
imits_
\m
athtt{g->z[iz]}^
\m
athtt{g->z[iz+1]} B_y(x,
\m
athtt{g->y[iy]},z)h_zdxdz$$
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