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Title: Concurrent implicit spectral deferred correction scheme for low-Mach number combustion with detailed chemistry

Abstract

We present a parallel multi-implicit time integration scheme for the advection-diffusion-reaction systems arising from the equations governing low-Mach number combustion with complex chemistry. Here, our strategy employs parallelisation across the method to accelerate the serial Multi-Implicit Spectral Deferred Correction (MISDC) scheme used to couple the advection, diffusion, and reaction processes. In our approach, the diffusion solves and the reaction solves are performed concurrently by different processors. Our analysis shows that the proposed parallel scheme is stable for stiff problems and that the sweeps converge to the fixed-point solution at a faster rate than with serial MISDC. We present numerical examples to demonstrate that the new algorithm is high-order accurate in time, and achieves a parallel speedup compared to serial MISDC.

Authors:
 [1];  [1];  [1]
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Center for Computational Sciences and Engineering
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
OSTI Identifier:
1525276
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Combustion Theory and Modelling
Additional Journal Information:
Journal Volume: 23; Journal Issue: 2; Journal ID: ISSN 1364-7830
Publisher:
Taylor & Francis
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; low-Mach number combustion; complex chemistry; time integration; multi-implicit spectral deferred corrections; parallelization across the method

Citation Formats

Hamon, François P., Day, Marcus S., and Minion, Michael L. Concurrent implicit spectral deferred correction scheme for low-Mach number combustion with detailed chemistry. United States: N. p., 2018. Web. doi:10.1080/13647830.2018.1524156.
Hamon, François P., Day, Marcus S., & Minion, Michael L. Concurrent implicit spectral deferred correction scheme for low-Mach number combustion with detailed chemistry. United States. doi:10.1080/13647830.2018.1524156.
Hamon, François P., Day, Marcus S., and Minion, Michael L. Fri . "Concurrent implicit spectral deferred correction scheme for low-Mach number combustion with detailed chemistry". United States. doi:10.1080/13647830.2018.1524156. https://www.osti.gov/servlets/purl/1525276.
@article{osti_1525276,
title = {Concurrent implicit spectral deferred correction scheme for low-Mach number combustion with detailed chemistry},
author = {Hamon, François P. and Day, Marcus S. and Minion, Michael L.},
abstractNote = {We present a parallel multi-implicit time integration scheme for the advection-diffusion-reaction systems arising from the equations governing low-Mach number combustion with complex chemistry. Here, our strategy employs parallelisation across the method to accelerate the serial Multi-Implicit Spectral Deferred Correction (MISDC) scheme used to couple the advection, diffusion, and reaction processes. In our approach, the diffusion solves and the reaction solves are performed concurrently by different processors. Our analysis shows that the proposed parallel scheme is stable for stiff problems and that the sweeps converge to the fixed-point solution at a faster rate than with serial MISDC. We present numerical examples to demonstrate that the new algorithm is high-order accurate in time, and achieves a parallel speedup compared to serial MISDC.},
doi = {10.1080/13647830.2018.1524156},
journal = {Combustion Theory and Modelling},
number = 2,
volume = 23,
place = {United States},
year = {2018},
month = {9}
}

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