version 4.2 authored by Udo Ziegler's avatar Udo Ziegler
...@@ -405,7 +405,7 @@ individually selected by the user. The standard implementation covers ...@@ -405,7 +405,7 @@ individually selected by the user. The standard implementation covers
the following criteria: the following criteria:
- derivatives-based (most important in practice): - derivatives-based (most important in practice):
![amr_deriv](uploads/25c608e1a335aca4242b34afb9e4ffeb/amr_deriv.png){width=80%} ![amr_deriv](uploads/25c608e1a335aca4242b34afb9e4ffeb/amr_deriv.png){width=80%}
The criterion is applied to physical variables $U$ The criterion is applied to physical variables $U$
($=\{\varrho,\mathbf{m},e,\mathbf{B},C_\mathrm{c}\}$). Undivided ($=\{\varrho,\mathbf{m},e,\mathbf{B},C_\mathrm{c}\}$). Undivided
first ($\delta U$) and second ($\delta^2U$) differences are computed along first ($\delta U$) and second ($\delta^2U$) differences are computed along
...@@ -430,8 +430,7 @@ the following criteria: ...@@ -430,8 +430,7 @@ the following criteria:
side) to decide whether a child block is to be created. side) to decide whether a child block is to be created.
- Jeans-length-based (important in simulations involving selfgravity): - Jeans-length-based (important in simulations involving selfgravity):
![amr_Jeans](uploads/57691ce992d4c86be15b6e7b5637166b/amr_Jeans.png){width=80%}
![amr_Jeans](uploads/57691ce992d4c86be15b6e7b5637166b/amr_Jeans.png){width=80%}
where the first factor is the local Jeans where the first factor is the local Jeans
length with $c_s$ the sound speed and $G$ the gravitational length with $c_s$ the sound speed and $G$ the gravitational
...@@ -442,8 +441,7 @@ the following criteria: ...@@ -442,8 +441,7 @@ the following criteria:
- Field-length-based (potentially relevant for simulations involving a - Field-length-based (potentially relevant for simulations involving a
heatloss source but rarely used in practice): heatloss source but rarely used in practice):
![amr_Field](uploads/de458510a631f1c2c18766c32f92eff1/amr_Field.png){width=80%}
![amr_Field](uploads/de458510a631f1c2c18766c32f92eff1/amr_Field.png){width=80%}
where the first factor is the Field length with where the first factor is the Field length with
$L(\varrho, T)$ the density- and temperature-dependent heatloss $L(\varrho, T)$ the density- and temperature-dependent heatloss
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