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authorbmundim <bmundim@57fe0bb3-ccba-405f-9b23-de0201f165b7>2011-09-15 20:48:00 +0000
committerbmundim <bmundim@57fe0bb3-ccba-405f-9b23-de0201f165b7>2011-09-15 20:48:00 +0000
commit1e3b1f6c80f406cfd47662817434108fb3cb67ad (patch)
tree74e380acda3e6d2a919a95f4e9945108aaee83c3
parentf0e9de176a8f8a16412088a5da2a358c4c007cdc (diff)
Add a few lines about units adopted, in particular the conversion factors
for your convenience. Please review these numbers though. git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinBase/HydroBase/trunk@41 57fe0bb3-ccba-405f-9b23-de0201f165b7
-rw-r--r--doc/documentation.tex16
1 files changed, 15 insertions, 1 deletions
diff --git a/doc/documentation.tex b/doc/documentation.tex
index 0b87fc0..91d5272 100644
--- a/doc/documentation.tex
+++ b/doc/documentation.tex
@@ -132,7 +132,7 @@ to couple to a spacetime solver and which are usually needed by analysis thorns.
a common set of variables by different hydrodynamics codes creates the possibility to share
parts of the code, e.g.\ initial data solvers or analysis routines.
-Currently the defined primitive variables are (see~\cite{livrevgrfd} for
+Currently the defined primitive variables are (see~\cite{livrevgrrfd} for
details):
\begin{itemize}
\item \verb|rho|: rest mass density $\varrho$
@@ -185,6 +185,8 @@ conventions
M_\mathrm{sun} = 1 &;& c = G = 1
\end{eqnarray}
which are commonly used in astrophysics and in relativity.
+The former sets the mass scale to the solar one and the latter
+adopts the same units for time, length and mass.
We assume the following definitions and constants of nature:
\begin{eqnarray}
@@ -211,6 +213,18 @@ magnetic field:
[B] & = & 1/[L]\; / \sqrt{\epsilon_0 G / c^2}
\end{eqnarray}
+Inserting the SI units into the above unit correspondences,
+we find the following conversion factors:
+\begin{equation}
+ M_\mathrm{sun} \equiv 1.477\, \mathrm{km}
+ \equiv 4.92673\, \mathrm{\mu s}
+ \equiv 8.344956\cdot 10^{15}\, \mathrm{T},
+\end{equation}
+where T (Tesla) is the magnetic field unit in SI,
+$1\,\mathrm{T}=1\,\mathrm{N/(A\cdot m)}$, or in its cgs equivalent,
+$1\,\mathrm{Tesla} = 10^4\,\mathrm{Gauss}$.
+
+
\section{Acknowledgments}
This thorn was produced by Tanja Bode, Roland Haas, Frank L\"offler, and Erik Schnetter.