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

Esclapez, Lucas; Ricchiuti, Valentina; Bell, John B.; Day, Marcus S.

doi:10.1080/13647830.2019.1668060

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

Journal Article · Thu Sep 19 00:00:00 EDT 2019 · Combustion Theory and Modelling

DOI:https://doi.org/10.1080/13647830.2019.1668060· OSTI ID:1572057

^[1]; Ricchiuti, Valentina ^[1]; Bell, John B. ^[1]; Day, Marcus S. ^[1]

Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

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.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1572057

Journal Information:: Combustion Theory and Modelling, Vol. 24, Issue 2; ISSN 1364-7830

Publisher:: Taylor & FrancisCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 5 works

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42 ENGINEERING
low Mach number combustion
spectral deferred correction (SDC)
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Title: A spectral deferred correction strategy for low Mach number reacting flows subject to electric fields

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