page_title: Corner-point grid
hierarchical_section_title: Corner-point grid
caption_attribution_description: English: A corner-point grid with two cells stacked on top of each other. In the Eclipse syntax, the grid is described by SPECGRID 1 1 2 1 F / -- Bottom and top of each of the four pillars here defining the corners of the box. COORD 0.0 0.0 0.0 0.0 0.0 0.5 1.0 0.0 0.0 1.0 0.0 0.5 0.0 1.0 0.0 0.0 1.0 0.5 1.0 1.0 0.0 1.0 1.0 0.5 / -- The points along pillars for where cell tops and bottoms are defined -- Number are ordered layer by layer. Each cell needs four pillar values for its -- bottom and four for its top. The next layer must have its bottom explicitly defined, -- giving two equivalent lines in this listing. ZCORN 0.00 0.00 0.00 0.00 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.50 0.50 0.50 0.50 /
context_page_description: In geometry, a corner-point grid is a tessellation of a Euclidean 3D volume where the base cell has 6 faces.
  A set of straight lines defined by their end points define the pillars of the corner-point grid. The pillars have a lexicographical ordering that determines neighbouring pillars. On each pillar, a constant number of nodes is defined. A corner-point cell is now the volume between 4 neighbouring pillars and two neighbouring points on each pillar.
  Each cell can be identified by integer coordinates, where the coordinate runs along the pillars, and and span each layer. The cells are ordered naturally, where the index runs the fastest and the slowest.
  Data within the interior of such cells can be computed by trilinear interpolation from the boundary values at the 8 corners, 12 edges, and 6 faces.
  In the special case of all pillars being vertical, the top and bottom face of each corner-point cell are described by bilinear surfaces and the side faces are planes.
  Corner-point grids are supported by most reservoir simulation software, and has become an industry standard.
context_section_description: In geometry, a corner-point grid is a tessellation of a Euclidean 3D volume where the base cell has 6 faces (hexahedron).
  A set of straight lines defined by their end points define the pillars of the corner-point grid. The pillars have a lexicographical ordering that determines neighbouring pillars. On each pillar, a constant number of nodes (corner-points) is defined. A corner-point cell is now the volume between 4 neighbouring pillars and two neighbouring points on each pillar.
  Each cell can be identified by integer coordinates , where the  coordinate runs along the pillars, and  and  span each layer. The cells are ordered naturally, where the index  runs the fastest and  the slowest.
  Data within the interior of such cells can be computed by trilinear interpolation from the boundary values at the 8 corners, 12 edges, and 6 faces.
  In the special case of all pillars being vertical, the top and bottom face of each corner-point cell are described by bilinear surfaces and the side faces are planes.
  Corner-point grids are supported by most reservoir simulation software, and has become an industry standard.
caption: A trivial example of a Corner-point grid with only two cells.
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