sphere_grid_2013_trinity

sphere_grid_2013_trinity, "Gridding the Earth for Climate Models", a talk about constructing meshes on spheres for modeling weather and climate on the surface of the Earth, presented at the Trinity University Mathematics Department Colloquium, 20 February 2013.

An abstract is available as sphere_grid_2013_trinity.txt

• sphere_grid_2013_trinity.tex
• sphere_grid_2013_trinity.pdf

Files that were used include:

• atmosphere.png, an atmospheric grid that should emphasize North America;
• bottleneck.png, a bottle-shaped region triangulated by the triangle program, using a mesh density function.
• california_coast.png, a grid generated for the ocean, focussing on the California coast.
• cvt_1d_nonuniform.png, a plot showing the evolution of the node locations in a 1D CVT with a nonuniform density.
• cvt_circle_nonuniform.png, a CVT with a nonuniform density in a circle.
• cvt_movie_p08_cramped.mov, a QuickTime movie that illustrates the progress of a CVT iteration in the "holey pie" region, for which the initial points are all located in one corner of the region.
• cvt_square_nonuniform.png, a CVT with a nonuniform density in a square.
• dtov_1.png, a Delaunay triangulation.
• dtov_2.png, a Delaunay triangulation, indicating how each triangle is split into parts associated with separate Voronoi polygons.
• dtov_3.png, illustrates how a Voronoi polygon is constructed from the parts of Delaunay triangles.
• earth.png, a drawing of the earth.
• empty_circumcircle.png, an illustration of the Delaunay empty circumcircle condition.
• f5_voronoi.png, the Voroni diagram for the 5th generation icosahedral points.
• florida_coast.png, a grid for the ocean off the Florida coast.
• fsu_logo.pdf, the FSU logo;
• greenland_cvt.png, a CVT grid for Greenland, with density based on the ice sheet speeds.
• greenland_velocity.png, a density function for Greenland, based on the ice sheet speeds.
• greenland_zoom.png, a closeup of part of a mesh for Greenland, using a weighted CVT algorithm.
• hurricane_sandy.png, the projected path of Hurricane Sandy.
• lake_coarse_boundarynodes.png, the boundary nodes for the lake region.
• lake_coarse_elements.png, the elements for the lake region.
• lake_coarse_nodes.png, the nodes for the lake region.
• lake_coarse_triangulation.png, the triangulation for the lake region.
• mpas_logo.png, the logo for the Multiple Prediction Across Scales (MPAS) group.
• north_atlantic.png, a density function for an atmospheric grid that should emphasize the North Atlantic.
• p08_mesh.png, a triangulation of the P08 "holey pie" region, using distmesh.
• small3_elements.png, elements for the unit square;
• small3_nodes.png, nodes for the unit square;
• small3_triangulation.png, a triangulation for the unit square;
• sphere_icos1_grid_f1.png, the triangulation for generation 1 icosahedral points.
• sphere_icos1_grid_f2.png, the triangulation for generation 2 icosahedral points.
• sphere_icos1_grid_f3.png, the triangulation for generation 3 icosahedral points.
• sphere_icos1_points_f3.png, the triangulation for generation 3 icosahedral points.
• sphere_icos1_points_f5.png, the triangulation for generation 5 icosahedral points.
• sphere_icos1_points_f7.png, the triangulation for generation 7 icosahedral points.
• sphere_ll_grid.png, a sample longitude-latitude grid;
• sphere_ll_nodes.png, the nodes of a sample longitude-latitude grid;
• sphere_llq_grid.png, a sample longitude-latitude grid of quadrilaterals;
• stereograph1.png, an illustration of stereographic projection.
• stereograph2.png, an illustration of stereographic projection.
• titan.png, an illustration of the Titan supercomputer cluster at Oak Ridge National Laboratory.
• trinity.png, a map of Trinity University.