PDF calculations of major and minor species in a turbulent piloted jet flame

Saxena, Vivek; Pope, Stephen B.

doi:10.1016/s0082-0784(98)80509-2

Cited by 35 publications

(29 citation statements)

References 10 publications

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“…5 and compared with experimental data by Masri et al [22] and with results of a simulation with the code PDF2DV [34,49]. For both simulations the same 40 × 40 grid has been used, and in comparison to the previous computations [3,24,41] these results are quite satisfactory considering the simple velocity model, mixing model, and thermo-chemistry used.…”

Section: Test Case: Nonpremixed Piloted-jet Flamementioning

confidence: 75%

“…During the past decade, progress in PDF methods has been made from several aspects: adopting a more advanced joint velocity-frequency-composition PDF method which provides a model for the turbulent time scale [39,45]; incorporating modeling techniques developed for secondmoment closures [10,32,33,46]; and developing a computationally efficient scheme to treat detailed reaction chemistry [36]. These models have been successfully applied to modeling several inert flows [1,6,25], reactive flows, and turbulent flames [24,27,41].…”

Section: Introductionmentioning

confidence: 99%

“…This is a code to calculate statistically stationary two-dimensional (plane or axi-symmetric) turbulent reactive flows using the joint velocity-frequency-composition PDF method. It has been applied in several published calculations [1,7,9,41,47].…”

Section: Introductionmentioning

confidence: 99%

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A Hybrid Algorithm for the Joint PDF Equation of Turbulent Reactive Flows

Jenny¹,

Pope²,

Muradoğlu³

et al. 2001

Journal of Computational Physics

176

172

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In this paper a new particle-finite-volume hybrid algorithm for the joint velocityfrequency-composition PDF method for turbulent reactive flows is presented. This method is a combination of a finite-volume scheme and a particle method. The finitevolume scheme is used to solve the Reynolds averaged Navier-Stokes equations and the particle method to solve the joint PDF transport equation. The motivation is to reduce the bias and the statistical error and to have an algorithm which is more efficient than stand-alone particle-mesh methods. Therefore, in the particle method we use the smoother mean density ρ and Favre averaged velocityŨ fields computed by the finite-volume scheme: This scheme is an Euler solver for compressible flow with the turbulent fluxes and the reaction term, which are computed by the particle algorithm, as source terms. Since some of the quantities are computed twice (i.e., the mean density ρ and the Favre averaged sensible internal energyẽ s ), by the finite-volume scheme and by the particle method, the hybrid algorithm is redundant. Although the model differential equations are consistent, it was difficult to satisfy consistency numerically, and an accurate particle tracking algorithm is crucial. Therefore a new scheme to interpolate the Favre averaged velocity has been developed which is second-order accurate and quasi conservative; i.e., it is based on the fluxes at the volume interfaces. Another important issue is the coupling between the finite-volume scheme and the particle method. A new time-averaging technique adds stability to the hybrid algorithm, and it also reduces the bias and the statistical error enormously. The properties of the new algorithm are demonstrated by results for a nonpremixed piloted-jet flame test case. First it is shown that the solution becomes statistically stationary and that it is internally consistent. Studies of the asymptotic behavior show that, for a given error tolerance, the new hybrid algorithm requires much less computer time than the stand-alone particle-mesh method (for this pilotedjet flame test case a factor of 20 times less). Finally, grid convergence studies verify that the scheme is second-order accurate in space.

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Section: Test Case: Nonpremixed Piloted-jet Flamementioning

confidence: 75%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Hybrid Algorithm for the Joint PDF Equation of Turbulent Reactive Flows

Jenny¹,

Pope²,

Muradoğlu³

et al. 2001

Journal of Computational Physics

176

172

View full text Add to dashboard Cite

show abstract

“…The piloted-jet nonpremixed turbulent methane flame provides a good test case for this study since it has relatively simple boundary conditions, and a comprehensive experimental data set is available [28]. This flow has been selected as one of the standard flows for model verification by the International Workshop on Measurement and Computations of Turbulent Nonpremixed Flames [2] and has also been studied by different researchers using PDF methods [4,18,29,33,46]. Since the focus of this study is on the numerical issues, simple turbulence models and combustion models are used in the calculations to minimize the computational cost, and the comparison of numerical results with experimental data is not emphasized.…”

Section: Introductionmentioning

confidence: 99%

Assessment of Numerical Accuracy of PDF/Monte Carlo Methods for Turbulent Reacting Flows

Xu¹,

Pope²

1999

Journal of Computational Physics

104

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“…For several years a great effort has been devoted to the study of lagrangian monte carlo method [4][5][6][7][8][9][10][11]. Cao et al [12] used the numerical analysis of lagrangian PDF for different flames and showed the influence of various mechanisms to represent the local extinction, reignition.…”

Section: Introductionmentioning

confidence: 99%

Untitled

2018

IJHT

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Transported probability density function (PDF) approach have been applied broadly and effectively for modelling turbulent reacting flows. The discretization of this approach is done with two methods, Multi-Environment Eulerian (MEPDF) and Lagrangian MonteCarlo (LPDF) which each method has advantages and disadvantages. The aim of this work is to investigate the capabilities of each method in predicting hydrogen combustion in a turbulent flame. A comparative study has been adopted between the two methodsby equivalent physical models and numerical parameters. The study was applied in the diffusion turbulent flame of hydrogen into a vitiated of hot coflow with modified K-epsilon model of turbulence. The chosen mixture model is the IEM (Interaction by Exchange with the Mean) with mixing constant (2.1). The number of environment in the first approach is (2.0). The model was solved in this work by the commercial CFD code, ANSYS fluent and the chemical reaction mechanism injected is GRI mech 2.1. The numerical results for temperature and species mass fractions are presented and compared with the experimental data. The comparison shows that the eulerian method gives better predictions than the lagrangian method. The advantages and disadvantages of both models are discussed in detail in relationship to the results.

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PDF calculations of major and minor species in a turbulent piloted jet flame

Cited by 35 publications

References 10 publications

A Hybrid Algorithm for the Joint PDF Equation of Turbulent Reactive Flows

A Hybrid Algorithm for the Joint PDF Equation of Turbulent Reactive Flows

Assessment of Numerical Accuracy of PDF/Monte Carlo Methods for Turbulent Reacting Flows

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