[Commits] [svn:einsteintoolkit] Workshop_Summer_2013/ (Rev. 25)

rhaas at tapir.caltech.edu rhaas at tapir.caltech.edu
Fri Jul 26 12:04:35 CDT 2013


User: rhaas
Date: 2013/07/26 12:04 PM

Modified:
 /et_intro_details/
  et_intro_details.tex
 /handson_analysis/
  handson_analysis.tex

Log:
 save state on et_intro and handson_analysis

File Changes:

Directory: /et_intro_details/
=============================

File [modified]: et_intro_details.tex
Delta lines: +1 -1
===================================================================
--- et_intro_details/et_intro_details.tex	2013-07-26 17:04:29 UTC (rev 24)
+++ et_intro_details/et_intro_details.tex	2013-07-26 17:04:35 UTC (rev 25)
@@ -171,7 +171,7 @@
 \item assemble directory structure
 \item simplify update of modules
 \item show local changes in all thorns
-\item operates on \texttt{thornlist} describing collection of thorns
+\item operates on \texttt{ThornList} describing collection of thorns
 \end{itemize}
 
 \end{frame}

Directory: /handson_analysis/
=============================

File [modified]: handson_analysis.tex
Delta lines: +16 -40
===================================================================
--- handson_analysis/handson_analysis.tex	2013-07-26 17:04:29 UTC (rev 24)
+++ handson_analysis/handson_analysis.tex	2013-07-26 17:04:35 UTC (rev 25)
@@ -5,7 +5,7 @@
 \newcommand{\Heaviside}{\operatorname{\Theta}}
 
 \subtitle[Analysis hands-on]{{\large Einstein Toolkit
-Workshop}\\*[0.3em]Hands-on exercise: tracking stars}
+Workshop}\\*[0.3em]Hands-on exercise: center of mass}
 \author{Roland Haas}
 \date{Jul 26 2013}
 
@@ -32,59 +32,35 @@
 
 \begin{frame}
 \frametitle{Problem description}
-\begin{block}{Requirements}
-    \begin{itemize}
-        \item be able to pick out a single neutron star, among several
-        \item roughly track the neutron star centre
-        \item be reasonably fast
-        \item be easy to use
-    \end{itemize}
-\end{block}
 \begin{block}{Ansatz}
-    \begin{itemize}
-        \item compute centre of mass $X^i = \int \rho(x^i)\,x^i\,d^3x / \int \rho(x^i)\,d^3x$
-        \item use distance from last known location to distinguish between
-            stars
-        \item use density to limit centre of mass to central region to remove
-            influence of outflowing tails
-    \end{itemize}
+ Compute centre of mass 
+\begin{equation}
+X^i = \int \rho(x^i)\,x^i\,d^3x / \int \rho(x^i)\,d^3x
+\end{equation}
 \end{block}
-\end{frame}
-
-\begin{frame}[containsverbatim]
-\frametitle{Recipe in formulae}
 \begin{block}{What to compute}
     \begin{align*}
-        M  &= \int \Heaviside(\rho - \rho_{\text{min}})
-                   \Heaviside(R_{\text{max}} - |x^i - x^i_{\text{old}}|)
-                   \rho\,d^3x \\
-        X^i&= \left(
-                   \int \Heaviside(\rho - \rho_{\text{min}})
-                   \Heaviside(|x^i - x^i_{\text{old}}| - R_{\text{max}})
-                   \rho\,x^i\,d^3x \right) / M
+        M  &= \int \rho\,d^3x \\
+        X^i&= \left(\rho\,x^i\,d^3x \right) / M
     \end{align*}
 \end{block}
 \begin{block}{Does this fit into code?}
-    Certainly.
-    \begin{itemize}
-        \item $\int$ $\rightarrow$
-            \parbox{.75\linewidth}{\begin{alltt}core\_density\_x[idx] = \ldots;\\\vdots\\CCTK\_Reduce(\ldots,handle\_sum,\ldots,core\_density\_x,\ldots);\end{alltt}}
-        \item $\Heaviside$ $\rightarrow$ \verb|if(...)|
-    \end{itemize}
+    Certainly.\\
+    $\int$ $\rightarrow$
+    \parbox{.75\linewidth}{
+    \begin{alltt}
+    comIntegrandX[idx] = \ldots;\\
+    \vdots\\
+    CCTK\_Reduce(\ldots,handle\_sum,\ldots,varindex,\ldots);
+    \end{alltt}}
 \end{block}
 \end{frame}
 
 \begin{frame}
 \frametitle{Entities to define}
 \begin{itemize}
-    \item<1-> \texttt{param.ccl}
+    \item<1-> \texttt{interface.ccl}
         \begin{alltt}\color{blue}
-            CCTK\_REAL density\_threshold\\
-            CCTK\_REAL core\_radius\\
-            CCTK\_REAL inital\_core\_\{x,y,z\}
-        \end{alltt}
-    \item<2-> \texttt{interface.ccl}
-        \begin{alltt}\color{blue}
             CCTK\_REAL core\_density\_gf type=gf\\
             \hspace{1cm}core\_density\_\{x,y,z\}\\
             \hspace{1cm}core\_density\\



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