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Update 3.1 Code basics
authored
Jan 10, 2021
by
Udo Ziegler
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3-NIRVANA-user-guide/3.1-Code-basics.md
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@@ -412,7 +412,7 @@ where
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@@ -412,7 +412,7 @@ where
is the grid spacing of the base level, i.e., there is a doubling of
is the grid spacing of the base level, i.e., there is a doubling of
resolution from one refinement level to the next higher.
resolution from one refinement level to the next higher.
Starting on the base level (
*l*
=
0) mesh refinements are realized by
Starting on the base level (
*l*
=
0) mesh refinements are realized by
overlaying child grid blocks at locations which need refinement
overlaying child grid blocks at locations which need refinement
according to different refinement criteria discussed in more detail
according to different refinement criteria discussed in more detail
below. A child grid block covers one octant (a logical cube of 2 grid
below. A child grid block covers one octant (a logical cube of 2 grid
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@@ -432,7 +432,7 @@ The criterion is applied to primary (or related) physical variables
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@@ -432,7 +432,7 @@ The criterion is applied to primary (or related) physical variables
computed along various spatial directions. The switch
*α*
∈
\[
0, 1
\]
computed along various spatial directions. The switch
*α*
∈
\[
0, 1
\]
(code parameter:
`_C.amr_d1`
) selects between a purely
(code parameter:
`_C.amr_d1`
) selects between a purely
gradient-based criterion (
*α*
=1) and a purely
gradient-based criterion (
*α*
=1) and a purely
second-derivatives-based criterion (
*α*
=
0).
second-derivatives-based criterion (
*α*
=
0).
*U*
<sub>
*r**e**f*
</sub>
are reference values to avoid division by
*U*
<sub>
*r**e**f*
</sub>
are reference values to avoid division by
zero for indefinite variables. The exponent
*ξ*
∈
\[
0, 2
\]
(code
zero for indefinite variables. The exponent
*ξ*
∈
\[
0, 2
\]
(code
parameter:
`_C.amr_exp`
) introduces a power law functional on the
parameter:
`_C.amr_exp`
) introduces a power law functional on the
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@@ -458,7 +458,7 @@ The criterion is applied to primary (or related) physical variables
...
@@ -458,7 +458,7 @@ The criterion is applied to primary (or related) physical variables
*c*
<sub>
*s*
</sub>
the sound speed and
*G*
the gravitational
*c*
<sub>
*s*
</sub>
the sound speed and
*G*
the gravitational
constant, and where
constant, and where
*δs*
= min {
*δx*
,
*h*
<sub>
*y*
</sub>
*δy*
,
*h*
<sub>
*z*
</sub>
*δz*
}.
*δs*
= min {
*δx*
,
*h*
<sub>
*y*
</sub>
*δy*
,
*h*
<sub>
*z*
</sub>
*δz*
}.
ℰ
<sub>
*J
**e**a**n**
s*
</sub>
is a user-specific threshold with the
ℰ
<sub>
*J
ean
s*
</sub>
is a user-specific threshold with the
reciprocal value giving the minimum number of grid cells the local
reciprocal value giving the minimum number of grid cells the local
Jeans length should be resolved.
Jeans length should be resolved.
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@@ -467,7 +467,7 @@ The criterion is applied to primary (or related) physical variables
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@@ -467,7 +467,7 @@ The criterion is applied to primary (or related) physical variables
where the first factor is the Field length with
*L*
(𝜚,
*T*
) the
where the first factor is the Field length with
*L*
(𝜚,
*T*
) the
density- and temperature-dependent heatloss function and
*κ*
the
density- and temperature-dependent heatloss function and
*κ*
the
thermal conduction coefficient. ℰ
<sub>
*F
**i**e**l**
d*
</sub>
is a
thermal conduction coefficient. ℰ
<sub>
*F
iel
d*
</sub>
is a
user-specific threshold with the reciprocal value giving the minimum
user-specific threshold with the reciprocal value giving the minimum
number of grid cells the Field length should be resolved.
number of grid cells the Field length should be resolved.
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