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Title: Parallel-In-Time For Moving Meshes

Abstract

With steadily growing computational resources available, scientists must develop e ective ways to utilize the increased resources. High performance, highly parallel software has be- come a standard. However until recent years parallelism has focused primarily on the spatial domain. When solving a space-time partial di erential equation (PDE), this leads to a sequential bottleneck in the temporal dimension, particularly when taking a large number of time steps. The XBraid parallel-in-time library was developed as a practical way to add temporal parallelism to existing se- quential codes with only minor modi cations. In this work, a rezoning-type moving mesh is applied to a di usion problem and formulated in a parallel-in-time framework. Tests and scaling studies are run using XBraid and demonstrate excellent results for the simple model problem considered herein.

Authors:
 [1];  [1];  [1];  [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1239230
Report Number(s):
LLNL-TR-681918
DOE Contract Number:  
AC52-07NA27344
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE

Citation Formats

Falgout, R. D., Manteuffel, T. A., Southworth, B., and Schroder, J. B. Parallel-In-Time For Moving Meshes. United States: N. p., 2016. Web. doi:10.2172/1239230.
Falgout, R. D., Manteuffel, T. A., Southworth, B., & Schroder, J. B. Parallel-In-Time For Moving Meshes. United States. doi:10.2172/1239230.
Falgout, R. D., Manteuffel, T. A., Southworth, B., and Schroder, J. B. Thu . "Parallel-In-Time For Moving Meshes". United States. doi:10.2172/1239230. https://www.osti.gov/servlets/purl/1239230.
@article{osti_1239230,
title = {Parallel-In-Time For Moving Meshes},
author = {Falgout, R. D. and Manteuffel, T. A. and Southworth, B. and Schroder, J. B.},
abstractNote = {With steadily growing computational resources available, scientists must develop e ective ways to utilize the increased resources. High performance, highly parallel software has be- come a standard. However until recent years parallelism has focused primarily on the spatial domain. When solving a space-time partial di erential equation (PDE), this leads to a sequential bottleneck in the temporal dimension, particularly when taking a large number of time steps. The XBraid parallel-in-time library was developed as a practical way to add temporal parallelism to existing se- quential codes with only minor modi cations. In this work, a rezoning-type moving mesh is applied to a di usion problem and formulated in a parallel-in-time framework. Tests and scaling studies are run using XBraid and demonstrate excellent results for the simple model problem considered herein.},
doi = {10.2172/1239230},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2016},
month = {2}
}

Technical Report:

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