A Method for Solving Two-Stream Mixing using the Generalised Binomial-Langevin Multiple Mapping Conditioning Model

du Preez, Matthew and Wandel, Andrew P. ORCID: https://orcid.org/0000-0002-7677-7129 and Lindstedt, R. Peter (2021) A Method for Solving Two-Stream Mixing using the Generalised Binomial-Langevin Multiple Mapping Conditioning Model. In: Australian Combustion Symposium 2021, 21 Nov - 24 Nov 2021, Toowoomba, Australia.


Abstract

Newly-defined closures for the binomial-Langevin Multiple Mapping Conditioning (BLM-MMC) model are used to determine the proportion of stochastic particles that mix each time step. The parameter was previously treated as a constant. Two further developments were introduced to address the requirements associated with two-stream mixing configurations. First, the proportion of particles to mix is determined by requiring the MMC scalar variance to match the binomial-Langevin variance. To achieve this, particles are mixed using the Modified Curl’s model and a uniform random mixing amount until the scalar variance is lower than the binomial-Langevin variance. To exactly match the variance, the amount of mixing for the final particle pair is calculated via deterministic sampling from the distribution so compliance is guaranteed. Second, a standard Gaussian variable is introduced and defined so that the mapping function of the binomial Langevin scalar corresponds to its conditional mean. This conventional conditioning variable is introduced because its distribution is always continuous, whereas during the initial mixing period for two streams the probability density function of the scalar must be discontinuous, leading to segregated mixing. These changes are shown to correctly model non-reacting homogenous mixing of two distinct streams.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: Files associated with this item cannot be displayed due to copyright restrictions.
Faculty/School / Institute/Centre: Historic - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering (1 Jul 2013 - 31 Dec 2021)
Faculty/School / Institute/Centre: Historic - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering (1 Jul 2013 - 31 Dec 2021)
Date Deposited: 28 Jul 2022 22:41
Last Modified: 31 Aug 2022 02:51
Uncontrolled Keywords: Multiple Mapping Conditioning, Two-Stream Mixing, binomial Langevin model, Curl’s Mixing
Fields of Research (2020): 40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401204 Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics)
40 ENGINEERING > 4017 Mechanical engineering > 401703 Energy generation, conversion and storage (excl. chemical and electrical)
40 ENGINEERING > 4002 Automotive engineering > 400201 Automotive combustion and fuel engineering
Socio-Economic Objectives (2020): 17 ENERGY > 1701 Energy efficiency > 170104 Transport energy efficiency
17 ENERGY > 1708 Renewable energy > 170801 Biofuel energy
17 ENERGY > 1701 Energy efficiency > 170102 Industrial energy efficiency
URI: http://eprints.usq.edu.au/id/eprint/50529

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