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Petascale Block-Structured AMR Applications without Distributed Meta-data

  • Brian Van Straalen
  • Phil Colella
  • Daniel T. Graves
  • Noel Keen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6853)

Abstract

Adaptive mesh refinement (AMR) applications to solve partial differential equations (PDE) are very challenging to scale efficiently to the petascale regime.

We describe optimizations to the Chombo AMR framework that enable it to scale efficiently to petascale on the Cray XT5. We describe an example of a hyperbolic solver (inviscid gas dynamics) and an matrix-free geometric multigrid elliptic solver. Both show good weak scaling to 131K processors without any thread-level or SIMD vector parallelism.

This paper describes the algorithms used to compress the Chombo metadata and the optimizations of the Chombo infrastructure that are necessary for this scaling result. That we are able to achieve petascale performance without distribution of the metadata is a significant advance which allows for much simpler and faster AMR codes.

Keywords

Weak Scaling Multigrid Iteration Grid Hierarchy Processor Assignment High Concurrency 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Brian Van Straalen
    • 1
  • Phil Colella
    • 1
  • Daniel T. Graves
    • 1
  • Noel Keen
    • 1
  1. 1.Applied Numerical Algorithms GroupLawrence Berkeley National LaboratoryBerkeleyUSA

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