Local adaptive mesh refinement for shock hydrodynamics
Journal of Computational Physics
Astrophysical N-body simulations using hierarchical tree data structures
Proceedings of the 1992 ACM/IEEE conference on Supercomputing
Algorithm 719: Multiprecision translation and execution of FORTRAN programs
ACM Transactions on Mathematical Software (TOMS)
Fluids in the universe: adaptive mesh refinement in cosmology
Computing in Science and Engineering
N-body simulation of galaxy formation on GRAPE-4 special-purpose computer
Supercomputing '96 Proceedings of the 1996 ACM/IEEE conference on Supercomputing
A 1.349 Tflops simulation of black holes in a galactic center on GRAPE-6
Proceedings of the 2000 ACM/IEEE conference on Supercomputing
Dynamic Load Balancing for Structured Adaptive Mesh Refinement Applications
ICPP '02 Proceedings of the 2001 International Conference on Parallel Processing
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As an entry for the 2001 Gordon Bell Award in the "special" category, we describe our 3-d, hybrid, adaptive mesh refinement (AMR) code Enzo designed for high-resolution, multiphysics, cosmological structure formation simulations. Our parallel implementation places no limit on the depth or complexity of the adaptive grid hierarchy, allowing us to achieve unprecedented spatial and temporal dynamic range. We report on a simulation of primordial star formation which develops over 8000 subgrids at 34 levels of refinement to achieve a local refinement of a factor of $10^{12}$ in space and time. This allows us to resolve the properties of the first stars which form in the universe assuming standard physics and a standard cosmological model. Achieving extreme resolution requires the use of 128-bit extended precision arithmetic (EPA) to accurately specify the subgrid positions. We describe our EPA AMR implementation on the IBM SP2 Blue Horizon system at the San Diego Supercomputer Center.