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
Rendering the first star in the universe: a case study
Proceedings of the conference on Visualization '02
A novel dynamic load balancing scheme for parallel systems
Journal of Parallel and Distributed Computing
Sourcebook of parallel computing
Exploring cosmology applications on distributed environments
Future Generation Computer Systems - iGrid 2002
Journal of Parallel and Distributed Computing - Special issue: 18th International parallel and distributed processing symposium
Performance analysis of a large-scale cosmology application on three cluster systems
International Journal of High Performance Computing and Networking
Proceedings of the 2010 ACM/IEEE International Conference for High Performance Computing, Networking, Storage and Analysis
p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
SIAM Journal on Scientific Computing
Enzo-P / Cello: scalable adaptive mesh refinement for astrophysics and cosmology
Proceedings of the Extreme Scaling Workshop
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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 1012 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.