Local adaptive mesh refinement for shock hydrodynamics
Journal of Computational Physics
Applications of spatial data structures: Computer graphics, image processing, and GIS
Applications of spatial data structures: Computer graphics, image processing, and GIS
The design and analysis of spatial data structures
The design and analysis of spatial data structures
An unsplit 3D upwind method for hyperbolic conservation laws
Journal of Computational Physics
Adaptive mesh refinement for wave propagation in nonlinear solids
SIAM Journal on Scientific Computing
Adaptive mesh refinement for singular current sheets in incompressible magnetohydrodynamic flows
Journal of Computational Physics
Adaptive mesh refinement and multilevel iteration for flow in porous media
Journal of Computational Physics
Journal of Computational Physics
Adaptive Mesh Refinement and Front-Tracking for Shear Bands in an Antiplane Shear Model
SIAM Journal on Scientific Computing
Adaptive mesh and algorithm refinement using direct simulation Monte Carlo
Journal of Computational Physics
A cell-centered adaptive projection method for the incompressible Euler equations
Journal of Computational Physics
Proceedings of the 2000 ACM/IEEE conference on Supercomputing
Divergence-free adaptive mesh refinement for Magnetohydrodynamics
Journal of Computational Physics
Large scale parallel structured AMR calculations using the SAMRAI framework
Proceedings of the 2001 ACM/IEEE conference on Supercomputing
Flexible Communication Mechanisms for Dynamic Structured Applications
IRREGULAR '96 Proceedings of the Third International Workshop on Parallel Algorithms for Irregularly Structured Problems
Adaptive characteristics-based matching for compressible multifluid dynamics
Journal of Computational Physics
Parallel clustering algorithms for structured AMR
Journal of Parallel and Distributed Computing
An adaptive, formally second order accurate version of the immersed boundary method
Journal of Computational Physics
High-fidelity interface tracking in compressible flows: Unlimited anchored adaptive level set
Journal of Computational Physics
Hybrid Runtime Management of Space-Time Heterogeneity for Parallel Structured Adaptive Applications
IEEE Transactions on Parallel and Distributed Systems
Numerical prediction of interfacial instabilities: Sharp interface method (SIM)
Journal of Computational Physics
Scalable adaptive mantle convection simulation on petascale supercomputers
Proceedings of the 2008 ACM/IEEE conference on Supercomputing
Journal of Computational Physics
Quantifying the effectiveness of load balance algorithms
Proceedings of the 26th ACM international conference on Supercomputing
Enzo-P / Cello: scalable adaptive mesh refinement for astrophysics and cosmology
Proceedings of the Extreme Scaling Workshop
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We discuss parallel performance of structured adaptive mesh refinement calculations using the SAMRAI library. We focus on fundamental aspects of adaptive gridding and dynamic computation of changing data dependencies. Previous analysis of performance of large-scale parallel adaptive calculations revealed poor scaling in these operations. Specifically, we found that these operations are inexpensive for small problems, but that their costs can become unacceptable for problems run on large numbers of processors. This paper describes subsequent developments involving graph- and tree-based algorithms that reduce runtime complexity and substantially increase scalability. We characterize performance on realistic adaptive problems using up to 512 processors of an IBM SP system and up to 1024 processors of a Linux cluster.