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author | jthorn <jthorn@f88db872-0e4f-0410-b76b-b9085cfa78c5> | 2003-11-21 10:34:38 +0000 |
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committer | jthorn <jthorn@f88db872-0e4f-0410-b76b-b9085cfa78c5> | 2003-11-21 10:34:38 +0000 |
commit | f36b8680daebcd791b20d9b9eb11bbeaa2022ca5 (patch) | |
tree | 78e2792df3e25492d61126e57e37a14316739bf1 | |
parent | 60f6c03570678a7fa6c94bcdd67299df65dd5ec2 (diff) |
more wording clarifications for min_horizon_radius_points_for_mask
option
git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinAnalysis/AHFinderDirect/trunk@1214 f88db872-0e4f-0410-b76b-b9085cfa78c5
-rw-r--r-- | doc/documentation.tex | 36 |
1 files changed, 24 insertions, 12 deletions
diff --git a/doc/documentation.tex b/doc/documentation.tex index fcb1e60..eb5d1aa 100644 --- a/doc/documentation.tex +++ b/doc/documentation.tex @@ -928,16 +928,18 @@ where \begin{array}{lcl} r_\text{inner} & = & \verb|mask_radius_multiplier| \times r_\text{horizon} - \,\,+\,\, \verb|mask_radius_offset| \times \Delta x + \,\,+\,\, + \verb|mask_radius_offset| \times {\Delta x}_\text{base} \\ r_\text{outer} & = & r_\text{inner} - \,\,+\,\, \verb|mask_buffer_thickness| \times \Delta x + \,\,+\,\, + \verb|mask_buffer_thickness| \times {\Delta x}_\text{base} %%%\\ \end{array} \label{AHFinderDirect/eqn-r-inside-outside} \end{equation} -and where $\Delta x$ is the base-grid Cactus grid spacing +and where ${\Delta x}_\text{base}$ is the base-grid Cactus grid spacing (more precisely, the geometric mean of the base grid's $x$, $y$, and $z$ Cactus grid spacings)%%% \footnote{%%% @@ -1030,12 +1032,11 @@ and $z$ Cactus grid spacings)%%% (\eg{} \thorn{LegoExcision}) to crash. :( This parameter can be used to avoid this problem: - \thorn{AHFinderDirect} only sets the mask for an - apparent horizon if + For each apparent horizon that it finds, \thorn{AHFinderDirect} + only sets the mask on a given grid if \begin{equation} - r_{\min} - \ge - \verb|min_horizon_radius_points_for_mask| * {\Delta x}_{\max} + r_{\min} \ge \verb|min_horizon_radius_points_for_mask| + * {\Delta x}_{\text{current},\max} \end{equation} where $r_{\min}$ is the minimum coordinate radius of the apparent horizon (about the local coordinate origin),%%% @@ -1043,13 +1044,24 @@ and $z$ Cactus grid spacings)%%% This may change soon to $r_\text{inner}$ or $r_\text{outer}$. }%%% -{} and ${\Delta x}_{\max}$ is the maximum of the Cactus $x$, $y$, - and~$z$ grid spacings on the current Cactus grid. If this condition +{} and ${\Delta x}_{\text{current},\max}$ is the maximum of the + Cactus $x$, $y$, and~$z$ grid spacings on the current Cactus + grid.%%% +\footnote{%%% + Note that this is the {\bf current\/} Cactus + grid spacing, not the {\bf base\/} Cactus grid + spacing that's used when calculating + $r_\text{outer}$ and $r_\text{inner}$ by + equation~\eqref{AHFinderDirect/eqn-r-inside-outside}. + }%%% +{} If this condition isn't satisfied, then \thorn{AHFinderDirect} skips setting the mask for this apparent horizon, just as if this apparent horizon wasn't found. (Note that the various output files - are still written as usual; it's only the mask processing - for this horizon that's skipped.) + are still written, and the apparent horizon shape is still + used as the initial guess for the next time step's apparent-horizon + finding, all as usual; it's only the mask processing for + this horizon that's skipped (for this time step).) \end{description} \thorn{AHFinderDirect} supports two types of mask grid functions; |