Multidimensional Adaptive Staggered Grids

S. Noelle (), W. Rosenbaum () and M. Rumpf ()
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M. Rumpf: Universitat Bonn, Institut für Numerische Simulation

A chapter in Analysis and Numerics for Conservation Laws, 2005, pp 479-493 from Springer

Abstract: Summary 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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27907-5_21

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DOI: 10.1007/3-540-27907-5_21

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