IDDES simulation of supersonic combustion using flamelet modeling

Abstract

A turbulent combustion modeling method combining the improved delayed detached eddy simulation (IDDES) model and the flamelet/progress variable (FPV) model is developed and then applied in the simulation of two supersonic combustors, namely the DLR supersonic combustor and the Gamba model combustor. Results show good agreement with the experiment, validating the accuracy of this method in supersonic combustion simulations. As a comparison, k-ω SST model combined with the FPV model is applied in the same cases. It is found that the simulation of k-ω SST model leads to larger deviations compared with that of the IDDES model, and the time cost of the IDDES model is only 3% more than that of the k-ω SST model. Moreover, the initial and boundary conditions of flamelet libraries are set to fixed values, thus can not account for the pressure and temperature variations in compressible flows. In response to this, a pressure and temperature correction of the FPV model is proposed and then applied in the DLR case. Results indicate that the correction method noticeably improves the accuracy of supersonic combustion simulations. Nomenclature Cp = specific heat coefficient at pressure constant C = progress variable h = specific enthalpy k = turbulent kinetic energy P = pressure Pr = Prandtl number Sc = Schmidt number T = temperature t = time Y = mass fraction Z = mixture fraction  = dissipation rate of turbulent kinetic energy  = dynamic viscosity  = density  = Scalar dissipation rate  = turbulent eddy frequency  = mass production rate Subscripts 0 = stagnation property i = species st = stoichiometric t = turbulent Superscripts

Assessment of the IDDES method acting as wall-modeled LES in the simulation of spatially developing supersonic flat plate boundary layers

“…To the knowledge of the authors, when coming to the simulation of supersonic flows, in the published literature apart from Gieseking et al (2011) and Peterson and Candler (2011) IDDES always simply acts as a DDES approach (e.g., see Wang, Piao, & Niu, 2015), and even in the limited literature published where IDDES acts as WMLES the issue of underprediction of skin friction is rarely discussed (e.g., see Cocks, Bruno, Donohue, & Haas, 2013). No detailed assessment of IDDES acting as WMLES has ever been conducted regarding the prediction of mean skin friction in supersonic boundary layer flows.…”

Wall-Modeled Large-Eddy Simulation of Autoignition-Dominated Supersonic Combustion

“…Rather than tabulating all possible thermodynamic variables and transport properties (e.g., Saghafian et al [18] in the context of a compressible FPV model), we follow the approach suggested by Oevermann [32] and used by Wang et al [19]. That is, we tabulate the mass fractions obtained from the detailed chemistry WSR model and compute the local thermodynamic state from the density and energy computed by the CFD and the mass fractions interpolated from the table.…”

“…Recent examples include compressible FPV simulations by Chan and Ihme [17], Saghafian et al [18], Wang et al [19], and Cao et al [20]; LEM simulations by Génin and Menon [21]; and TPDF and FMDF simulations by Delarue and Pope [22], Cocks et al [23], and Irannejad et al [24].…”