A regular grid is a tessellation of the Euclidean plane by congruent rectangles or a space-filling tessellation of rectilinear parallelepipeds (e.g. bricks). 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.

PropertyValue
dbpedia-owl:thumbnail
dbpprop:abstract
  • A regular grid is a tessellation of the Euclidean plane by congruent rectangles or a space-filling tessellation of rectilinear parallelepipeds (e.g. bricks). 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 <math>(i\cdot dx, j\cdot dy)</math> in 2D or <math>(i\cdot dx, j\cdot dy, k\cdot dz)</math> in 3D for some real numbers dx, dy, and dz representing the grid spacing.
  • Ein Gitter in der Geometrie ist eine lückenlose und überlappungsfreie Partition eines Bereichs des Raumes durch eine Menge von Gitterzellen. Die Gitterzellen werden definiert durch eine Menge von Gitterpunkten, die untereinander durch eine Menge von Gitterlinien verbunden sind. In der Visualisierung werden Gitter zum Speichern von Datensätzen verwendet.
dbpprop:hasPhotoCollection
rdfs:comment
  • A regular grid is a tessellation of the Euclidean plane by congruent rectangles or a space-filling tessellation of rectilinear parallelepipeds (e.g. bricks). 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.
  • Ein Gitter in der Geometrie ist eine lückenlose und überlappungsfreie Partition eines Bereichs des Raumes durch eine Menge von Gitterzellen. Die Gitterzellen werden definiert durch eine Menge von Gitterpunkten, die untereinander durch eine Menge von Gitterlinien verbunden sind. In der Visualisierung werden Gitter zum Speichern von Datensätzen verwendet.
rdfs:label
  • Regular grid
  • Gitter (Geometrie)
owl:sameAs
skos:subject
foaf:depiction
foaf:page
is dbpprop:redirect of