Compliance of combustion models for turbulent reacting flow simulations

Abstract The utilization of low-dimensional manifold combustion models for large-eddy simulation (LES) of turbulent reactive flows introduces model simplifications that represent sources of uncertainties in addition to those arising from turbulent closure models and numerical discretization. The ability to quantitatively assess these uncertainties in the absence of measurements or reference results is vital for reliable and predictive simulations of practical combustion devices. This paper is concerned with the extension of the manifold drift term to LES to examine the compliance of a particular combustion model in describing a quantity of interest (QoI) with respect to the underlying flow-field representation. This drift term was previously introduced as a key component of the Pareto-efficient combustion (PEC) framework. The behavior of the drift term is examined in a series of test cases. To this end, large-eddy simulations of a partially-premixed turbulent pilot flame with inhomogeneous inlet streams are performed, in which the non-premixed flamelet/progress-variable (FPV) model and the premixed filtered tabulated chemistry LES (F-TACLES) formulation are employed. The drift term is shown to be capable of identifying chemically sensitive regions with respect to user-specific QoIs. With this, a species-specific combustion regime indicator is derived by computing the relative magnitude of the drift terms for different combustion models. Comparisons with commonly employed flame indicators suggests that the flame index and other indicators that are solely based on major species and flame topology are insufficient in describing complex physical processes in multi-regime combustion.

[1]  Assaad R. Masri,et al.  Stabilization of piloted turbulent flames with inhomogeneous inlets , 2015 .

[2]  H. Pitsch,et al.  A flamelet model for premixed combustion under variable pressure conditions , 2013 .

[3]  H. Pitsch,et al.  Capabilities and limitations of multi-regime flamelet combustion models , 2012 .

[4]  Heinz Pitsch,et al.  Prediction of extinction and reignition in nonpremixed turbulent flames using a flamelet/progress variable model. 2. Application in LES of Sandia flames D and E , 2008 .

[5]  N. Peters Laminar diffusion flamelet models in non-premixed turbulent combustion , 1984 .

[6]  W. L. Chan,et al.  Assessment of model assumptions and budget terms of the unsteady flamelet equations for a turbulent reacting jet-in-cross-flow , 2014 .

[7]  M. Ihme,et al.  Tabulated chemistry approach for diluted combustion regimes with internal recirculation and heat losses , 2014 .

[8]  T. Takeno,et al.  A numerical study on flame stability at the transition point of jet diffusion flames , 1996 .

[9]  Matthias Ihme,et al.  Large-eddy simulation of a piloted premixed jet burner , 2013 .

[10]  Assaad R. Masri,et al.  Local extinction and near-field structure in piloted turbulent CH4/air jet flames with inhomogeneous inlets , 2015 .

[11]  D. Veynante,et al.  A Filtered Tabulated Chemistry model for LES of stratified flames , 2012 .

[12]  Van Oijen,et al.  Modelling of Premixed Laminar Flames using Flamelet-Generated Manifolds , 2000 .

[13]  P. Moin,et al.  Progress-variable approach for large-eddy simulation of non-premixed turbulent combustion , 2004, Journal of Fluid Mechanics.

[14]  W. L. Chan,et al.  A multi-scale asymptotic scaling and regime analysis of flamelet equations including tangential diffusion effects for laminar and turbulent flames , 2015 .

[15]  N. Peters,et al.  A Consistent Flamelet Formulation for Non-Premixed Combustion Considering Differential Diffusion Effects , 1998 .

[16]  Norbert Peters,et al.  Influence of curvature on the onset of autoignition in a corrugated counterflow mixing field , 2005 .

[17]  Heinz Pitsch,et al.  Prediction of local extinction and re-ignition effects in non-premixed turbulent combustion using a flamelet/progress variable approach , 2005 .

[18]  M. Ihme,et al.  Large eddy simulation of a partially-premixed gas turbine model combustor , 2015 .

[19]  Heinz Pitsch,et al.  A general flamelet transformation useful for distinguishing between premixed and non-premixed modes of combustion , 2009 .

[20]  Assaad R. Masri,et al.  A modified piloted burner for stabilizing turbulent flames of inhomogeneous mixtures , 2014 .

[21]  Nasser Darabiha,et al.  Approximating the chemical structure of partially premixed and diffusion counterflow flames using FPI flamelet tabulation , 2005 .

[22]  Matthias Ihme,et al.  LES flamelet modeling of a three-stream MILD combustor: Analysis of flame sensitivity to scalar inflow conditions , 2011 .

[23]  S. Pope Small scales, many species and the manifold challenges of turbulent combustion , 2013 .

[24]  Matthias Ihme,et al.  A Pareto-efficient combustion framework with submodel assignment for predicting complex flame configurations , 2015 .

[25]  S. Pope Accessed Compositions in Turbulent Reactive Flows , 2004 .

[26]  Nasser Darabiha,et al.  Liminar premixed hydrogen/air counterflow flame simulations using flame prolongation of ILDM with differential diffusion , 2000 .

[27]  Nasser Darabiha,et al.  A filtered tabulated chemistry model for LES of premixed combustion , 2010 .

[28]  Heinz Pitsch,et al.  Prediction of extinction and reignition in nonpremixed turbulent flames using a flamelet/progress variable model: 1. A priori study and presumed PDF closure , 2008 .

[29]  Jian Zhang,et al.  Regularization of reaction progress variable for application to flamelet-based combustion models , 2012, J. Comput. Phys..