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been used primarily (in fact, almost exclusively) in conjunction with |
been used primarily (in fact, almost exclusively) in conjunction with |
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so-called ``cube-sphere'' grids. However, it is important to observe |
so-called ``cube-sphere'' grids. However, it is important to observe |
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that cube-sphere arrangements are only one example of what is possible |
that cube-sphere arrangements are only one example of what is possible |
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with domain-decomposed logically rectangular tiles each containing |
with domain-decomposed logically rectangular regions each containing |
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curvilinear orthogonal coordinate systems. Much more sophisticated |
curvilinear orthogonal coordinate systems. Much more sophisticated |
26 |
domains can be imagined and constructed. |
domains can be imagined and constructed. |
27 |
|
|
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In order to explore the possibilities of domain-decomposed curvilinear |
In order to explore the possibilities of domain-decomposed curvilinear |
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orthogonal coordinate systems, a suite of grid generation software |
orthogonal coordinate systems, a suite of grid generation software |
30 |
called ``SPGrid'' (for SPherical Gridding) has developed. SPGrid is a |
called ``SPGrid'' (for SPherical Gridding) has been developed. SPGrid |
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relatively new facility and papers detailing its algorithms are in |
is a relatively new facility and papers detailing its algorithms are |
32 |
preparation. Althogh SPGrid is new and still rapidly developing, it |
in preparation. Althogh SPGrid is new and rapidly developing, it has |
33 |
has already demonstrated the ability to generate some useful and |
already demonstrated the ability to generate some useful and |
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interesting grids. |
interesting grids. |
35 |
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|
36 |
This section provides a very brief introduction to SPGrid and shows |
This section provides a very brief introduction to SPGrid and shows |
37 |
some early results. For further information, please contact the |
some early results. For further information, please contact the |
38 |
MITgcm support list: |
MITgcm support list at: |
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\begin{center} |
\begin{center} |
|
\begin{rawhtml} <A href="mailto:MITgcm-support@mitgcm.org"> \end{rawhtml} |
|
40 |
MITgcm-support@mitgcm.org |
MITgcm-support@mitgcm.org |
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\begin{rawhtml} </A> \end{rawhtml} |
|
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\end{center} |
\end{center} |
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43 |
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|
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\subsection{Using SPGrid} |
\subsection{Using SPGrid} |
45 |
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|
46 |
The SPGrid software is not a single program. Rather, it is a |
The SPGrid software is not a single program. Rather, it is a |
47 |
collection of \CC code and MatLAB scripts that can be used as a |
collection of C++ code and MatLAB scripts that can be used as a |
48 |
framework or library for grid generation. Currently, grid creation is |
framework or library for grid generation and manipulation. Currently, |
49 |
accomplished by writing a \CC ``driver'' program that specifies the |
grid creation is accomplished by either directly running matlab |
50 |
shape and connectivity of tiles and the preferred grid sizes (in the |
scripts or by writing a C++ ``driver'' program. The matlab scripts |
51 |
sense of the number of grid cells) and edge locations of the cells at |
are suitable for grids composed of a single ``face'' (that is, a |
52 |
the edges of grid faces. The driver program then passes this |
single logically rectangular region on the surface of a sphere). The |
53 |
information to the SPGrid library which generates the actual grid and |
C++ driver programs are appropriate for grids composed of multiple |
54 |
produces the output files that describe it. |
connected logically rectangular patches. Each driver is program is |
55 |
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written to specify the shape and connectivity of tiles and the |
56 |
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preferred grid density (that is, the number of grid cells in each |
57 |
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logical direction) and edge locations of the cells where they meet the |
58 |
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edges of each face. The driver programs pass this information to the |
59 |
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SPGrid library which generates the actual grid and produces the output |
60 |
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files that describe it. |
61 |
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|
62 |
Currently, driver programs are available for a few examples including |
Currently, driver programs are available for a few examples including |
63 |
cubes, ``lat-lon caps'' (cube topologies that have conformal caps at |
cubes, ``lat-lon caps'' (cube topologies that have conformal caps at |
84 |
\texttt{http://www.mathworks.com} |
\texttt{http://www.mathworks.com} |
85 |
\begin{rawhtml} </A> \end{rawhtml} |
\begin{rawhtml} </A> \end{rawhtml} |
86 |
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|
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\item the Wild Magic graphics engine (a \CC library) is needed for the |
\item the Wild Magic graphics engine (a C++ library) is needed for the |
88 |
main ``driver'' code: \\ |
main ``driver'' code: \\ |
89 |
\begin{rawhtml} <A href="http://geometrictools.com/"> \end{rawhtml} |
\begin{rawhtml} <A href="http://geometrictools.com/"> \end{rawhtml} |
90 |
\texttt{http://geometrictools.com/} |
\texttt{http://geometrictools.com/} |
100 |
\texttt{http://www.boost.org} |
\texttt{http://www.boost.org} |
101 |
\begin{rawhtml} </A> \end{rawhtml} |
\begin{rawhtml} </A> \end{rawhtml} |
102 |
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|
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\item a typical Unix/Linux build environment including the make |
\item a typical Linux/Unix build environment including the make |
104 |
utility (preferably Gnu Make) and a \CC compiler (SPGrid was |
utility (preferably Gnu Make) and a C++ compiler (SPGrid was |
105 |
developed with g++ v3.x and v4.x). |
developed with g++ v4.x). |
106 |
\end{itemize} |
\end{itemize} |
107 |
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|
108 |
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|
129 |
./configure |
./configure |
130 |
make |
make |
131 |
\end{verbatim} |
\end{verbatim} |
132 |
where the \texttt{CPPFLAGS} and\texttt{LDFLAGS} environment variables |
where the \texttt{CPPFLAGS} and \texttt{LDFLAGS} environment variables |
133 |
can be edited to reflect the locations of all the necessary |
can be edited to reflect the locations of all the necessary |
134 |
dependencies. SPGrid is known to work on Fedora Core Linux and is |
dependencies. SPGrid is known to work on Fedora Core Linux (versions |
135 |
likely to work on most any Linux distribution that provides the needed |
4 and 5) and is likely to work on most any Linux distribution that |
136 |
dependencies. |
provides the needed dependencies. |
137 |
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|
138 |
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|
139 |
\subsubsection{Using SPGrid} |
\subsubsection{Running SPGrid} |
140 |
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|
141 |
Within the \texttt{src} sub-directory, various example programs |
Within the \texttt{src} sub-directory, various example driver programs |
142 |
exist. These example programs describe small but complete domains and |
exist. These examples describe small, simple domains and can generate |
143 |
can generate the input (formatted as either binary ``mitgrid'' or |
the input files (formatted as either binary \texttt{*.mitgrid} or |
144 |
netCDF) files required by MITgcm. |
netCDF) used by MITgcm. |
145 |
|
|
146 |
One such example is called ``SpF\_test\_cube\_cap'' and it can be run |
One such example is called ``SpF\_test\_cube\_cap'' and it can be run |
147 |
with the following sequence of commands: |
with the following sequence of commands: |
148 |
\begin{verbatim} |
\begin{verbatim} |
149 |
cd spgrid-0.9.4/src |
cd spgrid-0.9.4/src |
150 |
|
make SpF_test_cube_cap |
151 |
mkdir SpF_test_cube_cap.d |
mkdir SpF_test_cube_cap.d |
152 |
( cd SpF_test_cube_cap.d && ln -s ../../scripts/*.m . ) |
( cd SpF_test_cube_cap.d && ln -s ../../scripts/*.m . ) |
153 |
./SpF_test_cube_cap |
./SpF_test_cube_cap |
154 |
\end{verbatim} |
\end{verbatim} |
155 |
which should create a series of output files of the form |
which should create a series of output files: |
156 |
\begin{verbatim} |
\begin{verbatim} |
157 |
SpF_test_cube_cap.d/grid_*.mitgrid |
SpF_test_cube_cap.d/grid_*.mitgrid |
158 |
SpF_test_cube_cap.d/grid_*.nc |
SpF_test_cube_cap.d/grid_*.nc |
159 |
SpF_test_cube_cap.d/std_topology.nc |
SpF_test_cube_cap.d/std_topology.nc |
160 |
\end{verbatim} |
\end{verbatim} |
161 |
which describe each face of the domain and how the faces are |
where the \texttt{grid\_*.mitgrid} and \texttt{grid\_*.nc} files |
162 |
connected. |
contain the grid information in binary and netCDF formats and the |
163 |
|
\texttt{std\_topology.nc} file contains the information describing the |
164 |
|
connectivity (both edge--edge and corner--corner contacts) between all |
165 |
|
the faces. |
166 |
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|
167 |
|
|
168 |
\subsection{Example Grids} |
\subsection{Example Grids} |