Article
 

Accelerating solutions of one-dimensional unsteady PDEs with GPU-based swept time-space decomposition

Öffentlich Deposited

Herunterladbarer Inhalt

PDF Herunterladen
https://ir.library.oregonstate.edu/concern/articles/ht24wq62r

Descriptions

Attribute NameValues
Creator
Abstract
  • The expedient design of precision components in aerospace and other high-tech industries requires simulations of physical phenomena often described by partial differential equations (PDEs) without exact solutions. Modern design problems require simulations with a level of resolution difficult to achieve in reasonable amounts of time-even in effectively parallelized solvers. Though the scale of the problem relative to available computing power is the greatest impediment to accelerating these applications, significant performance gains can be achieved through careful attention to the details of memory communication and access. The swept time-space decomposition rule reduces communication between sub-domains by exhausting the domain of influence before communicating boundary values. Here we present a GPU implementation of the swept rule, which modifies the algorithm for improved performance on this processing architecture by prioritizing use of private (shared) memory, avoiding interblock communication, and overwriting unnecessary values. It shows significant improvement in the execution time of finite-difference solvers for one-dimensional unsteady PDEs, producing speedups of 2-9 x for a range of problem sizes, respectively, compared with simple GPU versions and 7-300 x compared with parallel CPU versions. However, for a more sophisticated one-dimensional system of equations discretized with a second-order finite-volume scheme, the swept rule performs 1.2-1.9 x worse than a standard implementation for all problem sizes. (C) 2017 Elsevier Inc. All rights reserved.
License
Resource Type
DOI
Date Issued
Journal Title
Journal Volume
  • 357
Urheberrechts-Erklärung
Language
ISSN
  • 0021-9991

Beziehungen

Parents:

This work has no parents.

Artikel

Miniaturansicht Titel Hochladedatum Sichtbarkeit Aktionen
file details 1705.03162.pdf 2019-01-05 Öffentlich Herunterladen