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4 changes: 2 additions & 2 deletions Euler/Euler-theory.tex
Original file line number Diff line number Diff line change
Expand Up @@ -325,10 +325,10 @@ \section{Euler equation properties}
characteristic form of the equations says that each of the waves will
carry its respective jump, $\Delta \wb$. Since $d\qb = \Lb^{-1}d\wb = \Rb d\wb$,
the jump in the primitive variable across each wave is proportional to
the right-eigenvector associated with that wave. So, for example,
the right eigenvector associated with that wave. So, for example,
since $\rb^\evz$ is only non-zero for the density element (see
Eq.~\ref{eq:euler:primRevs}), this then means that only density jumps
across the $\lambda^\evz = u$ wave---pressure and velocity are
across the $\lambda^\evz = u$ wave, while pressure and velocity are
constant across this wave (see for example, Toro~\cite{toro:1997},
Ch.\ 2, 3 or LeVeque~\cite{leveque:2002} for a thorough discussion).

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4 changes: 2 additions & 2 deletions pyro/pyro.tex
Original file line number Diff line number Diff line change
Expand Up @@ -89,8 +89,8 @@ \section{\pyro 's structure}
\url{http://python-hydro.github.io/pyro2/}, and described
in \cite{pyro}. Here we provide a summary.

The grid structure is managed by the {\tt patch.Grid2d} class. Data
is that lives on the grid is contained in a {\tt
The grid structure is managed by the {\tt patch.Grid2d} class. The data
that lives on the grid is contained in a {\tt
patch.CellCenterData2d} object. Methods are available to provide
access to the data and fill the ghost cells. When accessing the data
on the grid, a {\tt array\_indexer.ArrayIndexer} object is returned.
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