... | ... | @@ -412,7 +412,7 @@ where |
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is the grid spacing of the base level, i.e., there is a doubling of
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resolution from one refinement level to the next higher.
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Starting on the base level (*l* = 0) mesh refinements are realized by
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Starting on the base level (*l*=0) mesh refinements are realized by
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overlaying child grid blocks at locations which need refinement
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according to different refinement criteria discussed in more detail
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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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computed along various spatial directions. The switch *α* ∈ \[0, 1\]
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(code parameter: `_C.amr_d1`) selects between a purely
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gradient-based criterion (*α*=1) and a purely
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second-derivatives-based criterion (*α* = 0).
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second-derivatives-based criterion (*α*=0).
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*U*<sub>*r**e**f*</sub> are reference values to avoid division by
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zero for indefinite variables. The exponent *ξ* ∈ \[0, 2\] (code
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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 |
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*c*<sub>*s*</sub> the sound speed and *G* the gravitational
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constant, and where
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*δs* = min {*δx*, *h*<sub>*y*</sub>*δy*, *h*<sub>*z*</sub>*δz*}.
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ℰ<sub>*J**e**a**n**s*</sub> is a user-specific threshold with the
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ℰ<sub>*Jeans*</sub> is a user-specific threshold with the
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reciprocal value giving the minimum number of grid cells the local
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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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![amr_Field](uploads/de458510a631f1c2c18766c32f92eff1/amr_Field.png)
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where the first factor is the Field length with *L*(𝜚, *T*) the
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density- and temperature-dependent heatloss function and *κ* the
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thermal conduction coefficient. ℰ<sub>*F**i**e**l**d*</sub> is a
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thermal conduction coefficient. ℰ<sub>*Field*</sub> is a
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user-specific threshold with the reciprocal value giving the minimum
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number of grid cells the Field length should be resolved.
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... | ... | |