| ... | @@ -437,11 +437,12 @@ the following criteria: |
... | @@ -437,11 +437,12 @@ the following criteria: |
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side) to decide whether a child block is to be created.
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side) to decide whether a child block is to be created.
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- Jeans-length-based (important in simulations involving selfgravity):
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- Jeans-length-based (important in simulations involving selfgravity):
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$$\left(\frac{\pi}{G}\frac{c_s^2}{\varrho}\right)^{1/2}
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$\left(\frac{\pi}{G}\frac{c_s^2}{\varrho}\right)^{1/2}
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\cdot \mathcal{E}_\mathrm{Jeans}\left\{\begin{array}{ll}
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\cdot \mathcal{E}_\mathrm{Jeans}\left\{\begin{array}{ll}
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<\delta s & \mbox{refinement}\\
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<\delta s & \mbox{refinement}\\
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>1.25\delta s & \mbox{derefinement}\\
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>1.25\delta s & \mbox{derefinement}\\
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\end{array}\right.$$ where the first factor is the local Jeans
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\end{array}\right.$
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where the first factor is the local Jeans
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length with $c_s$ the sound speed and $G$ the gravitational
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length with $c_s$ the sound speed and $G$ the gravitational
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constant, and where $\delta s=\min\{\delta x,h_y\delta y, h_z\delta z\}$.
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constant, and where $\delta s=\min\{\delta x,h_y\delta y, h_z\delta z\}$.
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$\mathcal{E}_\mathrm{Jeans}$ is a user-specific threshold giving the
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$\mathcal{E}_\mathrm{Jeans}$ is a user-specific threshold giving the
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| ... | @@ -455,7 +456,8 @@ the following criteria: |
... | @@ -455,7 +456,8 @@ the following criteria: |
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\right)^{1/2}\cdot \mathcal{E}_\mathrm{Field}\left\{\begin{array}{ll}
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\right)^{1/2}\cdot \mathcal{E}_\mathrm{Field}\left\{\begin{array}{ll}
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<\delta s & \mbox{refinement}\\
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<\delta s & \mbox{refinement}\\
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>1.25\delta s & \mbox{derefinement}\\
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>1.25\delta s & \mbox{derefinement}\\
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\end{array}\right.$$ where the first factor is the Field length with
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\end{array}\right.$$
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where the first factor is the Field length with
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$L(\varrho, T)$ the density- and temperature-dependent heatloss
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$L(\varrho, T)$ the density- and temperature-dependent heatloss
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function and $\kappa$ the thermal conduction coefficient.
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function and $\kappa$ the thermal conduction coefficient.
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$\mathcal{E}_\mathrm{Field}$ is a user-specific threshold giving the
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$\mathcal{E}_\mathrm{Field}$ is a user-specific threshold giving the
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