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Title: A spectral deferred correction strategy for low Mach number reacting flows subject to electric fields

Abstract

We propose an algorithm for low Mach number reacting flows subjected to electric field that includes the chemical production and transport of charged species. This work is an extension of a multi-implicit spectral deferred correction (MISDC) algorithm designed to advance the conservation equations in time at scales associated with advective transport. The fast and nontrivial interactions of electrons with the electric field are treated implicitly using a Jacobian-Free Newton Krylov approach for which a preconditioning strategy is developed. Within the MISDC framework, this enables a close and stable coupling of diffusion, reactions and dielectric relaxation terms with advective transport and is shown to exhibit second-order convergence in space and time. The algorithm is then applied to a series of steady and unsteady problems to demonstrate its capability and stability. Although developed in a one-dimensional case, the algorithmic ingredients are carefully designed to be amenable to multidimensional applications.

Authors:
ORCiD logo [1];  [1];  [1];  [1]
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
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:
1572057
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Combustion Theory and Modelling
Additional Journal Information:
Journal Name: Combustion Theory and Modelling; Journal ID: ISSN 1364-7830
Publisher:
Taylor & Francis
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; low Mach number combustion, spectral deferred correction (SDC), Jacobian Free Newton Krylov (JFNK), electric field

Citation Formats

Esclapez, Lucas, Ricchiuti, Valentina, Bell, John B., and Day, Marcus S. A spectral deferred correction strategy for low Mach number reacting flows subject to electric fields. United States: N. p., 2019. Web. doi:10.1080/13647830.2019.1668060.
Esclapez, Lucas, Ricchiuti, Valentina, Bell, John B., & Day, Marcus S. A spectral deferred correction strategy for low Mach number reacting flows subject to electric fields. United States. doi:10.1080/13647830.2019.1668060.
Esclapez, Lucas, Ricchiuti, Valentina, Bell, John B., and Day, Marcus S. Thu . "A spectral deferred correction strategy for low Mach number reacting flows subject to electric fields". United States. doi:10.1080/13647830.2019.1668060.
@article{osti_1572057,
title = {A spectral deferred correction strategy for low Mach number reacting flows subject to electric fields},
author = {Esclapez, Lucas and Ricchiuti, Valentina and Bell, John B. and Day, Marcus S.},
abstractNote = {We propose an algorithm for low Mach number reacting flows subjected to electric field that includes the chemical production and transport of charged species. This work is an extension of a multi-implicit spectral deferred correction (MISDC) algorithm designed to advance the conservation equations in time at scales associated with advective transport. The fast and nontrivial interactions of electrons with the electric field are treated implicitly using a Jacobian-Free Newton Krylov approach for which a preconditioning strategy is developed. Within the MISDC framework, this enables a close and stable coupling of diffusion, reactions and dielectric relaxation terms with advective transport and is shown to exhibit second-order convergence in space and time. The algorithm is then applied to a series of steady and unsteady problems to demonstrate its capability and stability. Although developed in a one-dimensional case, the algorithmic ingredients are carefully designed to be amenable to multidimensional applications.},
doi = {10.1080/13647830.2019.1668060},
journal = {Combustion Theory and Modelling},
number = ,
volume = ,
place = {United States},
year = {2019},
month = {9}
}

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