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Erschienen in:
2005 | OriginalPaper | Buchkapitel
Multidimensional Adaptive Staggered Grids
verfasst von : S. Noelle, W. Rosenbaum, M. Rumpf
Erschienen in: Analysis and Numerics for Conservation Laws
Verlag: Springer Berlin Heidelberg
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A variety of numerical schemes operates on
staggered grids
, that is a pair of meshes of the same computational domain whose interior nodes (in 1D), edges (in 2D) and faces (in 3D) do not coincide. While the shape of a staggered grid is canonical on an uniformly refined Cartesian mesh it becomes more complicated for an underlying adaptively refined grid, in particular in higher spatial dimensions. Here we present both a construction technique for staggered
dual grids
exploiting the structure of the adaptively refined Cartesian
primal grids
in 2D and 3D, and discuss the necessary modifications of a standard Finite Volume scheme which is originally formulated on uniform meshes.