3-NIRVANA-user-guide/3.1-Code-basics.md

@@ -413,6 +413,7 @@ the following criteria:
     <0.8\mathcal{E}_{U}  & \forall U \quad\hbox{derefinement}\\
     \end{array}\right.$$
 
+![amr_deriv](uploads/25c608e1a335aca4242b34afb9e4ffeb/amr_deriv.png)  
     The criterion is applied to physical variables $U$
     ($=\{\varrho,\mathbf{m},e,\mathbf{B},C_\mathrm{c}\}$). Undivided
     first ($\delta U$) and second ($\delta^2U$) differences are computed along
@@ -442,6 +443,8 @@ the following criteria:
     <\delta s & \mbox{refinement}\\
     >1.25\delta s & \mbox{derefinement}\\
     \end{array}\right.$ 
+
+![amr_Jeans](uploads/57691ce992d4c86be15b6e7b5637166b/amr_Jeans.png)           
     where the first factor is the local Jeans
     length with $c_s$ the sound speed and $G$ the gravitational
     constant, and where $\delta s=\min\{\delta x,h_y\delta y, h_z\delta z\}$.
@@ -457,6 +460,8 @@ the following criteria:
     <\delta s & \mbox{refinement}\\
     >1.25\delta s & \mbox{derefinement}\\
     \end{array}\right.$$ 
+
+![amr_Field](uploads/de458510a631f1c2c18766c32f92eff1/amr_Field.png)    
     where the first factor is the Field length with
     $L(\varrho, T)$ the density- and temperature-dependent heatloss
     function and $\kappa$ the thermal conduction coefficient.