Campus Units
Mechanical Engineering, Chemical and Biological Engineering, Ames Laboratory
Document Type
Article
Publication Version
Accepted Manuscript
Publication Date
9-19-2020
Journal or Book Title
Proceedings of the Combustion Institute
DOI
10.1016/j.proci.2020.07.075
Abstract
Two solution algorithms are developed for the conditional moment closure (CMC) using quadrature-based moment methods (QBMM). Their primary purpose is to eliminate the necessity of the additional grid for the conditioning variable (e.g., mixture fraction). As in almost every probability-density-function (PDF)-based description, the main technical hurdle is the solution of the molecular-mixing term. Here the focus is on solving this term coupled with chemistry, as opposed to spatial transport. In the first algorithm (referred to as SA-CMC), this is done by semi-analytically solving an equation for the deviation variable of the conditional scalar mean in terms of Jacobi polynomials. The mixture-fraction space is represented by the Gauss–Lobatto quadrature rule and a β-PDF. In the second algorithm (referred to as QBMM-CMC), a closed set of differential equations is written for the joint moments of a scalar and the mixture fraction, thereby eliminating the need to assume a form for the mixture-fraction PDF. Both solution algorithms are tested for multi-step H2 combustion, and the expected results are achieved with at most six quadrature nodes. Since in the proposed algorithms the scalar mean is ensured to be constant during molecular mixing, it is further concluded that the proposed algorithms are accurate, computationally cost-effective, and straightforward alternatives for traditional CMC solution methods.
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Copyright Owner
The Combustion Institute
Copyright Date
2020
Language
en
File Format
application/pdf
Recommended Citation
Ilgun, Aziz Dogan; Passalacqua, Alberto; and Fox, Rodney O., "Application of quadrature-based moment methods to the conditional moment closure" (2020). Mechanical Engineering Publications. 437.
https://lib.dr.iastate.edu/me_pubs/437
Included in
Acoustics, Dynamics, and Controls Commons, Catalysis and Reaction Engineering Commons, Complex Fluids Commons
Comments
This is a manuscript of an article published as Ilgun, A. D., A. Passalacqua, and R. O. Fox. "Application of quadrature-based moment methods to the conditional moment closure." Proceedings of the Combustion Institute (2020). DOI: 10.1016/j.proci.2020.07.075. Posted with permission.