SPHERE_CUBED_GRID
"Cubed Sphere" Grid

SPHERE_CUBED_GRID is a FORTRAN90 library which uses the projection of a sphere to create grids of points, lines, and quadrilaterals over the surface of a sphere in 3D.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

SPHERE_CUBED_GRID is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.

Related Data and Programs:

BALL_GRID, a FORTRAN90 library which computes a grid of points over the interior of a ball in 3D.

CIRCLE_ARC_GRID, a FORTRAN90 program which computes points equally spaced along a circular arc;

CUBE_GRID, a FORTRAN90 library which computes a grid of points over the interior of a cube in 3D.

DISK_GRID, a FORTRAN90 library which computes a grid of points over the interior of a disk in 2D.

ELLIPSE_GRID, a FORTRAN90 library which computes a grid of points over the interior of an ellipse in 2D.

ELLIPSOID_GRID, a FORTRAN90 library which computes a grid of points over the interior of an ellipsoid in 3D.

HYPERCUBE_GRID, a FORTRAN90 library which computes a grid of points over the interior of a hypercube in M dimensions.

LINE_GRID, a FORTRAN90 library which computes a grid of points over the interior of a line segment in 1D.

POLYGON_GRID, a FORTRAN90 library which generates a grid of points over the interior of a polygon in 2D.

PYRAMID_GRID, a FORTRAN90 library which computes a grid of points over the interior of the unit pyramid in 3D;

SIMPLEX_GRID, a FORTRAN90 library which generates a grid of points over the interior of a simplex in M dimensions.

SPHERE_FIBONACCI_GRID, a FORTRAN90 library which computes a grid of points using the Fibonacci spiral over the surface of a sphere in 3D.

SPHERE_GRID, a FORTRAN90 library which computes a variety of grids of points over the surface of a sphere in 3D.

SPHERE_LLQ_GRID, a FORTRAN90 library which computes a grid of quadrilaterals bounded by latitude and longitude lines over the surface of a sphere in 3D.

SPHERE_LLT_GRID, a FORTRAN90 library which computes a grid of triangles bounded by latitude and longitude lines over the surface of a sphere in 3D.

SQUARE_GRID, a FORTRAN90 library which computes a grid of points over the interior of a square in 2D.

TETRAHEDRON_GRID, a FORTRAN90 library which computes a grid of points over the interior of a tetrahedron in 3D.

TRIANGLE_GRID, a FORTRAN90 library which computes a grid of points over the interior of a triangle in 2D.

WEDGE_GRID, a FORTRAN90 library which computes a grid of points over the interior of the unit wedge in 3D.

Source Code:

• sphere_cubed_grid.f90, the source code.

Examples and Tests:

• sphere_cubed_grid_test.f90, a sample calling program.
• sphere_cubed_grid_test.txt, the output file.
• sphere_cubed_grid_lines.png, a plot of the lines in a cubed sphere grid.
• sphere_cubed_grid_points.png, a plot of the points in a cubed sphere grid.

List of Routines:

• R8MAT_TRANSPOSE_PRINT prints an R8MAT, transposed.
• R8MAT_TRANSPOSE_PRINT_SOME prints some of an R8MAT, transposed.
• SPHERE_CUBED_GRID_IJK_TO_XYZ: cubed sphere IJK to XYZ coordinates.
• SPHERE_CUBED_GRID_LINE_COUNT counts lines on a cubed sphere grid.
• SPHERE_CUBED_GRID_LINES computes the lines on a cubed sphere grid.
• SPHERE_CUBED_GRID_LINES_DISPLAY displays a cubed grid on a sphere.
• SPHERE_CUBED_POINT_COUNT counts the points on a cubed sphere grid.
• SPHERE_CUBED_GRID_POINTS computes the points on a cubed sphere grid.
• SPHERE_CUBED_GRID_POINTS_DISPLAY displays an LLQ grid on a sphere.
• SPHERE_CUBED_GRID_POINTS_FACE: points on one face of a cubed sphere grid.
• TIMESTAMP prints the current YMDHMS date as a time stamp.

You can go up one level to the FORTRAN90 source codes.