Simulation of a bluff-body-stabilied diffusion flame using second-moment closure and monte carlo methods

Wouters, H.A.; Nooren, P.A.; Peeters, Tim; Roekaerts, Dirk

doi:10.1016/s0082-0784(96)80215-3

Cited by 9 publications

(10 citation statements)

References 5 publications

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“…− The final unclosed term is the pressure-strain correlation term, which has been the focal point of Reynolds-stress modelling. This term does not produce or destroy turbulent kinetic energy but only redistributes energy over the components of the stress tensor [28].…”

Section: Reynolds-stress Equationsmentioning

confidence: 99%

“…The bluff-body stabilised flame has received special attention and been widely studied recently [3,4,8,9,12,13,19,20,28,29]. In addition to its practical interest, the bluff-body flame is a very challenging test for turbulence models as well as chemistry models.…”

Section: Introductionmentioning

confidence: 99%

“…The same flame has also been modelled with a conditional moment closure (CMC) model by Kim et al [12,13] and with a coupled radiation/flamelet combustion model by Hossain et al [8], and also with Monte Carlo PDF models by Jenny et al [9] and Muradoglu et al [20] more recently. A similar bluff-body stabilised flame with different geometrical configuration and fuel has also been studied numerically by Wouters et al [28][29][30] using k-model and Reynolds-stress models as well as hybrid finite volume/Monte Carlo PDF model.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Numerical Investigation of a Bluff-Body Stabilised Nonpremixed Flame with Differential Reynolds-Stress Models

Naud

Roekaerts

2003

Flow, Turbulence and Combustion

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Abstract.A numerical investigation of a bluff-body stabilised nonpremixed flame, and the corresponding nonreacting flow, has been performed with differential Reynolds-stress models (DRSMs). The equilibrium chemistry model is employed and an assumed-shape beta function PDF approach is used to represent the interaction between turbulence and chemistry. The Reynolds flux of the mixture fraction is obtained from a transport equation, hence a full second moment closure is used. To clarify the applicability of the existing DRSMs in this complex flame, several models, including LRR-IP model, JM model, SSG model as well as a modified LRR-IP model, have been applied and evaluated. The existing models, with default values of the coefficients, cannot provide overall satisfactory predictions for this challenging test case. The standard LRR-IP model over predicts the centreline velocity decay rate, and therefore does not perform satisfactory. The modified LRR-IP model, with model constant C 1 = 1.6 instead of the standard value 1.44 (here named BM-M1), gives better results for the mean velocity. However in the nonreacting case this does not lead to improvement in predicting rms fluctuating velocities especially downstream of the recirculation zone. Motivated by the need to improve the prediction, a new modification of the LRR-IP model is proposed (BM-M2), with model constant C 2 = 0.7 in the pressure strain correlation rather than the standard value 0.6. With the new modified model, a very significant improvement of the prediction of flow field is obtained in the nonreacting case, whereas in the reacting case the prediction of the flow field is of the same overall quality as with BM-M1. This shows that some DRSMs have different behaviour in the nonreacting case and the reacting case. In the reacting case also the mean and variance of mixture fraction are considered and it is found that the best results are obtained with the BM-M1 model, with SSG as second best. Combining the results for flow field and mixture fraction field it is concluded that the BM-M1 model is recommended for further studies of this bluff-body stabilised flame. Grid independence of the result is demonstrated.

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Section: Reynolds-stress Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical Investigation of a Bluff-Body Stabilised Nonpremixed Flame with Differential Reynolds-Stress Models

Naud

Roekaerts

2003

Flow, Turbulence and Combustion

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“…The duplicate fields include the mean velocity and Reynolds stresses. The same algorithm has also been used by Chang [15], Tsai and Fox [16], Wouters et al [18], and Nau et al [19].…”

Section: Review Of Pdf Algorithmsmentioning

confidence: 99%

“…Thus, use of a k − model in the FV code and of a SLM PDF model in the particle code cannot be consistent. As shown by Wouters et al [18], the level of consistency mainly depends on the equivalence of the turbulence models used in FV and PDF methods.…”

Section: Review Of Pdf Algorithmsmentioning

confidence: 99%

A Consistent Hybrid Finite-Volume/Particle Method for the PDF Equations of Turbulent Reactive Flows

Muradoğlu¹,

Jenny²,

Pope³

et al. 1999

Journal of Computational Physics

148

143

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The paper describes a new hybrid finite-volume (FV)/particle method developed for the solution of the PDF equations for statistically stationary turbulent reactive flows. In this approach, the conservation equations for mean mass, momentum, and energy conservation are solved by a FV method while a particle algorithm is employed to solve the fluctuating velocity-turbulence frequency-compositions joint PDF transport equation. The mean velocity and pressure are supplied to the particle code by the FV code which in turn obtains all the Reynolds stresses, the scalar fluxes, and the reaction terms needed in the FV code. An important feature of the method is the complete consistency between the set of equations solved by the FV and particle methods. The algorithmic and numerical issues arising in the development of the hybrid method are studied in the simple setting of the stochastic ideal flow equations. Numerical results are obtained for 1D reactive stochastic ideal flow to demonstrate numerical properties of the method. The total numerical error is identified as statistical error, bias, spatial truncation error, and temporal truncation error. In contrast to the selfcontained particle method, the bias is found to be negligibly small. It is shown that all the numerical errors converge at the expected rates. Finally, the global convergence of the hybrid method is demonstrated and the optimal strategy for time-averaging that gives the best global convergence rate is investigated.

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Progress in probability density function methods for turbulent reacting flows

Haworth

2010

Progress in Energy and Combustion Science

530

294

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Simulation of a bluff-body-stabilied diffusion flame using second-moment closure and monte carlo methods

Cited by 9 publications

References 5 publications

Numerical Investigation of a Bluff-Body Stabilised Nonpremixed Flame with Differential Reynolds-Stress Models

Numerical Investigation of a Bluff-Body Stabilised Nonpremixed Flame with Differential Reynolds-Stress Models

A Consistent Hybrid Finite-Volume/Particle Method for the PDF Equations of Turbulent Reactive Flows

Progress in probability density function methods for turbulent reacting flows

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