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Title: A high-order spectral deferred correction strategy for low Mach number flow with complex chemistry

Abstract

This article presents a fourth-order finite-volume algorithm in space and time for low Mach number reacting flow with detailed kinetics and transport. Our temporal integration scheme is based on a Multi-Implicit Spectral Deferred Correction (MISDC) strategy that iteratively couples advection, diffusion, and reactions evolving subject to a constraint. Our new approach overcomes a stability limitation of our previous second-order method encountered when trying to incorporate higher-order polynomial representations of the solution in time to increase accuracy. We have developed a new iterative scheme that naturally fits within our MISDC framework and allows us to conserve mass and energy while simultaneously satisfying the equation of state. We analyse the conditions for which the iterative schemes are guaranteed to converge to the fixed point solution. Finally, we present numerical examples illustrating the performance of the new method on premixed hydrogen, methane, and dimethyl ether flames.

Authors:
 [1];  [2];  [2];  [2];  [2]
  1. Brown Univ., Providence, RI (United States)
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
OSTI Identifier:
1379326
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Combustion Theory and Modelling
Additional Journal Information:
Journal Volume: 20; Journal Issue: 3; Journal ID: ISSN 1364-7830
Publisher:
Taylor & Francis
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; low Mach number combustion; spectral deferred corrections; fourth-order spatiotemporal discretisations; flame simulations; detailed chemistry and kinetics

Citation Formats

Pazner, Will E., Nonaka, Andrew, Bell, John B., Day, Marcus S., and Minion, Michael L. A high-order spectral deferred correction strategy for low Mach number flow with complex chemistry. United States: N. p., 2016. Web. doi:10.1080/13647830.2016.1150519.
Pazner, Will E., Nonaka, Andrew, Bell, John B., Day, Marcus S., & Minion, Michael L. A high-order spectral deferred correction strategy for low Mach number flow with complex chemistry. United States. https://doi.org/10.1080/13647830.2016.1150519
Pazner, Will E., Nonaka, Andrew, Bell, John B., Day, Marcus S., and Minion, Michael L. 2016. "A high-order spectral deferred correction strategy for low Mach number flow with complex chemistry". United States. https://doi.org/10.1080/13647830.2016.1150519. https://www.osti.gov/servlets/purl/1379326.
@article{osti_1379326,
title = {A high-order spectral deferred correction strategy for low Mach number flow with complex chemistry},
author = {Pazner, Will E. and Nonaka, Andrew and Bell, John B. and Day, Marcus S. and Minion, Michael L.},
abstractNote = {This article presents a fourth-order finite-volume algorithm in space and time for low Mach number reacting flow with detailed kinetics and transport. Our temporal integration scheme is based on a Multi-Implicit Spectral Deferred Correction (MISDC) strategy that iteratively couples advection, diffusion, and reactions evolving subject to a constraint. Our new approach overcomes a stability limitation of our previous second-order method encountered when trying to incorporate higher-order polynomial representations of the solution in time to increase accuracy. We have developed a new iterative scheme that naturally fits within our MISDC framework and allows us to conserve mass and energy while simultaneously satisfying the equation of state. We analyse the conditions for which the iterative schemes are guaranteed to converge to the fixed point solution. Finally, we present numerical examples illustrating the performance of the new method on premixed hydrogen, methane, and dimethyl ether flames.},
doi = {10.1080/13647830.2016.1150519},
url = {https://www.osti.gov/biblio/1379326}, journal = {Combustion Theory and Modelling},
issn = {1364-7830},
number = 3,
volume = 20,
place = {United States},
year = {Wed Mar 30 00:00:00 EDT 2016},
month = {Wed Mar 30 00:00:00 EDT 2016}
}

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