Flow, Turbulence and Combustion

, Volume 97, Issue 4, pp 1185–1210 | Cite as

Flow Physics of a Bluff-Body Swirl Stabilized Flame and their Prediction by Means of a Joint Eulerian Stochastic Field and Tabulated Chemistry Approach



In the frame of this work a transported joint scalar probability density function (PDF) method is combined with the flamelet generated manifolds (FGM) tabulated chemistry approach for large eddy simulation (LES) modeling of a three-dimensional turbulent premixed swirl burner. This strategy accounts for the turbulence-chemistry interaction at reasonable computational costs. At the same time, it allows the usage of detailed chemistry mechanisms for the creation of the chemical database. The simulation results obtained are comparatively assessed along with complementary measurements. Furthermore, transient and time-averaged data are used to provide insight into the flow physics of the bluff-body swirl stabilized flame considered. The sensitivity of the results to different modeling approaches regarding the predicted flame shape and its dynamics is also investigated, where the implemented approach is compared with the well-established artificially thickened flame (ATF) combustion model. Consequently, the investigation conducted in this work aims to provide a complete picture on the ability of the proposed combustion model to reproduce the flow conditions within complex bluff-body swirl stabilized flames.


Large eddy simulation Turbulent premixed combustion Tabulated chemistry Joint probability density function Artificially thickened flame 



Smagorinsky coefficient


Micro-mixing constant


Hydraulic diameter


Damköhler number

\(\text {dW}_{j}^{n}\)

nth Wiener process in j direction

\(\mathcal {E}\)

Efficiency function

\(\mathcal {F}\)

Thickening factor

\(\mathcal {G}\)

Spatial filtering operator


Specific enthalpy of the mixture


Karlovitz number


Lewis number




Number of stochastic fields


Number of table controlling variables


Prandtl number


Reynolds number


Sub-grid turbulent Reynolds number corresponding to the filter size Δ


Swirl number


Rate of strain


Schmidt number


Laminar flame speed





\(\mathcal {T}\)

Effective straining function


Velocity in j direction

\(u_{\Delta }^{\prime }\)

Velocity fluctuation at the test filter size Δ


Spatial coordinate


Mass fraction of species m

\(\mathcal {Z}\)

Mixture fraction


Flame thickness




Grid size


Time step size


Colin test filter size

\(\zeta \left (0,1 \right )\)

Dichotomic vector


Dynamic viscosity


Kinematic viscosity

\(\xi _{\alpha }^{n}\)

nth stochastic field of the scalar α


Flame wrinkling factor




Components of the viscous stress tensor


Sub-grid mixing time scale


Arbitrary quantity


General species/scalar


Scalar dissipation rate


Flame sensor

\(\dot {\omega }\)

Chemical source term


Property of an unmodified flame in the ATF context


Property of a thickened flame in the ATF context







\(\cdot _{\max }\)



Sub-grid scale




Table controlling variable


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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Institute of Energy and Power Plant TechnologyTU DarmstadtDarmstadtGermany

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