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Resident block-structured adaptive mesh refinement on thousands of graphics processing units

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Beckingsale, David A., Gaudin, W. P., Herdman, J. A. and Jarvis, Stephen A. (2015) Resident block-structured adaptive mesh refinement on thousands of graphics processing units. In: 44th International Conference on Parallel Processing, Beijing, China, 1-4 Sep 2015 pp. 61-70. ISBN 9781467375870. ISSN 0190-3918.

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Official URL: https://doi.org/10.1109/ICPP.2015.15

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Abstract

Block-structured adaptive mesh refinement (AMR) is a technique that can be used when solving partial differential equations to reduce the number of cells necessary to achieve the required accuracy in areas of interest. These areas (shock fronts, material interfaces, etc.) are recursively covered with finer mesh patches that are grouped into a hierarchy of refinement levels. Despite the potential for large savings in computational requirements and memory usage without a corresponding reduction in accuracy, AMR adds overhead in managing the mesh hierarchy, adding complex communication and data movement requirements to a simulation. In this paper, we describe the design and implementation of a resident GPU-based AMR library, including: the classes used to manage data on a mesh patch, the routines used for transferring data between GPUs on different nodes, and the data-parallel operators developed to coarsen and refine mesh data. We validate the performance and accuracy of our implementation using three test problems and two architectures: an 8 node cluster, and 4,196 nodes of Oak Ridge National Laboratory’s Titan supercomputer. Our GPU-based AMR hydrodynamics code performs up to 4.87x faster than the CPU-based implementation, and is scalable on 4,196 K20x GPUs using a combination of MPI and CUDA.

Item Type: Conference Item (Paper)
Subjects: Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Divisions: Faculty of Science > Computer Science
Library of Congress Subject Headings (LCSH): Computer science., Computer science -- Mathematics., Numerical grid generation (Numerical analysis), Hydrodynamics., Differential equations, Hyperbolic.
Publisher: IEEE Computer Society
ISBN: 9781467375870
ISSN: 0190-3918
Official Date: 1 September 2015
Dates:
DateEvent
1 September 2015Published
1 June 2015Accepted
Page Range: pp. 61-70
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: Royal Society (Great Britain), Atomic Weapons Establishment (Great Britain) (AWE)
Grant number: CDK0660, IF090020/AM
Conference Paper Type: Paper
Title of Event: 44th International Conference on Parallel Processing
Type of Event: Conference
Location of Event: Beijing, China
Date(s) of Event: 1-4 Sep 2015
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