A passive scalar-based method for numerical combustion

Wang, Hongbo; Sun, Mingbo; Yang, Yixin; Qin, Ning

doi:10.1016/j.ijhydene.2015.06.148

Cited by 18 publications

(3 citation statements)

References 11 publications

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“…It should be noted that this analysis is not identical to reacting flow formulations that consider just a mixture fraction or related quantity, as in [21], as their scalar. The mixture fraction maps both concentration fields in a binary system to a single scalar that is conserved in space.…”

Section: Discussionmentioning

confidence: 99%

Closures for Multi-Component Reacting Flows based on Dispersion Analysis

Shende¹,

Mani²

2021

Preprint

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This work presents algebraic closure models associated with advective transport and nonlinear reactions in a Reynolds-averaged Navier-Stokes context for a system of species subject to binary reactions and transport by advection and diffusion. Expanding upon analysis originally developed for non-reactive transport in the context of Taylor dispersion of scalars, this work extends the modified gradient diffusion model explicated by Peters (Turbulent Combustion, 2000) and based on work by Corrsin (JFM, vol. 11, beyond single-component transport phenomena and involving nonlinear reactions. The presented model forms, from this weakly-nonlinear extension of the original dispersion theory, lead to an analytic expression for the eddy diffusivity matrix that explicitly captures the influence of the reaction kinetics on the closure operators. Furthermore, we demonstrate that the derived model form directly translates between flow topologies through a priori and a posteriori testing of a binary species system subject to homogeneous isotropic turbulence. Using two-and three-dimensional direct numerical simulations involving laminar and turbulent flows, it is shown that this framework improves prediction of mean quantities compared to previous results. Lastly, the presented model form, collapses to the earlier gradient diffusion and its modified version derived by Corrsin in the limits of non-reactive species and linear reactions, respectively.

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Section: Discussionmentioning

confidence: 99%

Closures for Multi-Component Reacting Flows based on Dispersion Analysis

Shende¹,

Mani²

2021

Preprint

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“…The investigation into flameholder cavities has attracted considerable attention in the realm of combustion research. Notable studies, such as those conducted by Wang et al [3] , have leveraged Large Eddy Simulation (LES) techniques in conjunction with a passive scalar method to numerically model combustion processes. Wang et al work involve comparisons with

jet simulations in a simplified cavity geometry, which demonstrates the promise of the passive scalar mixing in comprehending combustion phenomena.…”

Section: Introductionmentioning

confidence: 99%

Simulation at Mach 2 flow of ethylene/air reacting mixture within a cavity flame holder

Chapman,

Peterson,

Doom

2024

Heliyon

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“…Tractable numerical simulation of passive and reactive species transport in turbulent flows has been the subject of intense research in the past few decades [1] due to its importance in a diverse range of engineering and scientific applications. See for example [2][3][4][5][6][7][8][9]. High fidelity numerical simulations using direct numerical/large-eddy simulation (DNS/LES) of turbulent reactive flows with a large number of species is cost prohibitive [10].…”

Section: Introductionmentioning

confidence: 99%

On-the-fly Reduced Order Modeling of Passive and Reactive Species via Time-Dependent Manifolds

Ramezanian,

Nouri,

Babaee

2021

Preprint

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One of the principal barriers in developing accurate and tractable predictive models in turbulent flows with a large number of species is to track every species by solving a separate transport equation, which can be computationally impracticable. In this paper, we present an on-the-fly reduced order modeling of reactive as well as passive transport equations to reduce the computational cost. The presented approach seeks a low-rank decomposition of the species to three time-dependent components: (i) a set of orthonormal spatial modes, (ii) a low-rank factorization of the instantaneous species correlation matrix, and (iii) a set of orthonormal species modes, which represent a low-dimensional time-dependent manifold. Our approach bypasses the need to solve the full-dimensional species to generate high-fidelity data -as it is commonly performed in data-driven dimension reduction techniques such as the principle component analysis. Instead, the low-rank components are directly extracted from the species transport equation. The evolution equations for the three components are obtained from optimality conditions of a variational principle. The time-dependence of the three components enables an on-the-fly adaptation of the low-rank decomposition to transient changes in the species. Several demonstration cases of reduced order modeling of passive and reactive transport equations are presented.

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A passive scalar-based method for numerical combustion

Cited by 18 publications

References 11 publications

Closures for Multi-Component Reacting Flows based on Dispersion Analysis

Closures for Multi-Component Reacting Flows based on Dispersion Analysis

Simulation at Mach 2 flow of ethylene/air reacting mixture within a cavity flame holder

On-the-fly Reduced Order Modeling of Passive and Reactive Species via Time-Dependent Manifolds

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