Everything about Regular Grid totally explained
A
regular grid is a
tessellation of the
Euclidean plane by congruent rectangles or a
space-filling tessellation of rectilinear parallelepipeds. Grids of this type appear on
graph paper and may be used in
finite element analysis as well as
finite volume methods and
finite difference methods. Since the derivatives of field variables can be conveniently expressed as finite differences, structured grids mainly appear in finite difference methods.
Unstructured grids offer more flexibility than structured grids and hence are very useful in finite element and finite volume methods.
Each cell in the grid can be addressed by index (i, j) in two
dimensions or (i, j, k) in three dimensions, and each
vertex has
coordinates
in 2D or
in 3D for some real numbers
dx,
dy, and
dz representing the grid spacing.
Related grids
A
Cartesian grid is a special case where the elements are
unit squares or
unit cubes, and the vertices are
integer points.
A
rectilinear grid is a tessellation by rectangles or parallelepipeds that are not all congruent to each other. The cells may still be indexed by integers as above, but the mapping from indexes to vertex coordinates is less uniform than in a regular grid. An example of a rectilinear grid that isn't regular appears on
logarithmic scale graph paper.
A
curvilinear grid or
structured grid is a grid with the same combinatorial structure as a regular grid, in which the cells are quadrilaterals or cuboids rather than rectangles or rectangular parallelepipeds.
Further Information
Get more info on 'Regular Grid'.
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