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

Pazner, Will E.; Nonaka, Andrew; Bell, John B.; Day, Marcus S.; Minion, Michael L.

doi:10.1080/13647830.2016.1150519

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

Journal Article · Wed Mar 30 00:00:00 EDT 2016 · Combustion Theory and Modelling

DOI:https://doi.org/10.1080/13647830.2016.1150519· OSTI ID:1379326

Pazner, Will E. ^[1]; Nonaka, Andrew ^[2]; Bell, John B. ^[2]; Day, Marcus S. ^[2]; Minion, Michael L. ^[2]

Brown Univ., Providence, RI (United States)
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

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.

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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:: 1379326

Journal Information:: Combustion Theory and Modelling, Vol. 20, Issue 3; ISSN 1364-7830

Publisher:: Taylor & FrancisCopyright Statement

Country of Publication:: United States

Language:: English

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37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
low Mach number combustion
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Title: A high-order spectral deferred correction strategy for low Mach number flow with complex chemistry

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