The Quadtree and Related Hierarchical Data Structures
ACM Computing Surveys (CSUR)
SC '98 Proceedings of the 1998 ACM/IEEE conference on Supercomputing
Hall magnetohydrodynamics on block-adaptive grids
Journal of Computational Physics
A parallel solution - adaptive method for three-dimensional turbulent non-premixed combusting flows
Journal of Computational Physics
Adaptive numerical algorithms in space weather modeling
Journal of Computational Physics
Journal of Scientific Computing
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We examine a data structure which uses flexible "adaptivity" to obtain high performance for both serial and parallel computers. The data structure is an adaptive grid which partitions a given region into regular cells. Its closest relatives are cell-based tree decompositions, but there are several important differences which lead to significant performance advantages. Using this block data structure to support adaptive mesh refinement (AMR), we were able to sustain 17 GFLOPS in ideal magnetohydrodynamic (MHD) simulations of the solar wind emanating from the base of the solar corona, using a 512 processor Cray T3D at NASA Goddard.