QUAD_MESH_ORDER1
Quadrilateral Mesh with Piecewise Constant Data

QUAD_MESH_ORDER1 is a data directory which contains examples of files that define a quad mesh and an associated data value that is constant over each element of the mesh.

An order 1 quad mesh is a mesh of a 2D region based on quadrilaterals, with a piecewise constant value. An order1 quad mesh can be defined by three files:

• the node file lists the coordinates of a set of points.
• the element file lists sets of 4 node indices, forming the elements.
• the value file lists a value associated with each element.

Licensing:

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

Related Data and Programs:

FEM_IO, a FORTRAN90 library which reads or writes node, element and data files defining a finite element model.

FEM2D_PACK, a FORTRAN90 library which handles various tasks associated with 2D finite element meshes.

MESH_BANDWIDTH, a FORTRAN90 program which returns the geometric bandwidth associated with a mesh of elements of any order and in a space of arbitrary dimension.

MESH_DISPLAY_OPENGL, a C++ program which reads files defining a polygonal mesh and displays an image using OpenGL.

QUAD_MESH, a data directory which defines a format for storing meshes of quadrilaterals over a 2D region.

QUAD_MESH_ORDER1_DISPLAY, a MATLAB program which plots piecewise constant data associated with a mesh of quadrilaterals;

Sample Files:

B5 displays the Hamming distance matrix for the binary codes for integers 0 through 5.

• b5_nodes.txt, the coordinates of nodes;
• b5_elements.txt, the nodes that form the elements.
• b5_values.txt, the value associated with each node.
• b5_2d.png, an overhead view of the mesh.
• b5_3d.png, a 3D view of the piecewise constant mesh function.

B15 displays the Hamming distance matrix for the binary codes for integers 0 through 15.

• b15_nodes.txt, the coordinates of nodes;
• b15_elements.txt, the nodes that form the elements.
• b15_values.txt, the value associated with each node.
• b15_2d.png, an overhead view of the mesh.
• b15_3d.png, a 3D view of the piecewise constant mesh function.

G5 displays the Hamming distance matrix for the Gray codes for integers 0 through 5.

• g_nodes.txt, the coordinates of nodes;
• g5_elements.txt, the nodes that form the elements.
• g5_values.txt, the value associated with each node.
• g5_2d.png, an overhead view of the mesh.
• g5_3d.png, a 3D view of the piecewise constant mesh function.

G15 displays the Hamming distance matrix for the Gray codes for integers 0 through 15.

• g15_nodes.txt, the coordinates of nodes;
• g15_elements.txt, the nodes that form the elements.
• g15_values.txt, the value associated with each node.
• g15_2d.png, an overhead view of the mesh.
• g15_3d.png, a 3D view of the piecewise constant mesh function.

POOL is a simple rectilinear mesh using 28 points in a 7x4 grid, forming 18 elements, along with a value that we can think of as the depth of a swimming pool measured once in each element.

• pool_nodes.txt, the coordinates of nodes;
• pool_elements.txt, the nodes that form the elements.
• pool_values.txt, the value associated with each node.
• pool_2d.png, an overhead view of the mesh.
• pool_3d.png, a 3D view of the piecewise constant mesh function.

You can go up one level to the DATA page.