Fully consistent Eulerian Monte Carlo fields method for solving probability density function transport equations in turbulence modeling

Wang, Haifeng

doi:10.1063/5.0037649

Fully consistent Eulerian Monte Carlo fields method for solving probability density function transport equations in turbulence modeling

Journal Article · Thu Jan 14 23:00:00 EST 2021 · Physics of Fluids

DOI:https://doi.org/10.1063/5.0037649· OSTI ID:1764502

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Purdue Univ., West Lafayette, IN (United States); Pudue University

The probability density function (PDF) transport equation method is a sophisticated model for the closure of turbulent mixing and turbulent reactive flows. An efficient solution approach for solving the PDF transport equation has been vital for the method to be widely used in applications. The Eulerian Monte Carlo fields (EMCF) method has been developed to solve the PDF transport equation efficiently for decades. A recent work by Wang et al. revealed a serious issue of the EMCF method for not being fully consistent with the PDF transport equation for which the method is designed to solve. This work advances the state of the art by introducing fully consistent EMCF methods for solving the PDF transport equation. The fully consistent EMCF formulations are derived for two different PDF equation forms. The consistency of the EMCF formulations is mathematically confirmed by examining the derived moment transport equations from the EMCF formulations and from the PDF transport equation. The method of manufactured solutions is employed to further verify the consistency and convergence of the different EMCF formulations numerically. The newly introduced EMCF formulations bring the EMCF method to full consistency with the PDF transport equations for the first time.

View Accepted Manuscript (DOE)

Research Organization:: Purdue Univ., West Lafayette, IN (United States)

Sponsoring Organization:: USDOE Office of Energy Efficiency and Renewable Energy (EERE), Transportation Office. Vehicle Technologies Office

Grant/Contract Number:: EE0008876

OSTI ID:: 1764502

Alternate ID(s):: OSTI ID: 1760044

Journal Information:: Physics of Fluids, Journal Name: Physics of Fluids Journal Issue: 1 Vol. 33; ISSN 1070-6631

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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42 ENGINEERING
97 MATHEMATICS AND COMPUTING
Computational fluid dynamics
Mixing
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Turbulence theory and modelling
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Fully consistent Eulerian Monte Carlo fields method for solving probability density function transport equations in turbulence modeling

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