A spectral radius scaling semi-implicit iterative time stepping method for reactive flow simulations with detailed chemistry

Xie, Qing; Xiao, Zhixiang; Ren, Zhuyin

doi:10.1016/j.jcp.2018.04.042

Cited by 11 publications

(2 citation statements)

References 53 publications

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“…As for time advance, each time step was split into a convection-diffusion substep and a chemical reaction integration substep [59]. The convection-diffusion substeps were advanced using the second-order implicit lower-upper symmetric Gauss-Seidel (LUSGS) method [60,61]. In the reaction substeps, the governing nonlinear stiff ordinary differential equations (ODEs) for the compositions including the species mass fraction and temperature were integrated under constant volume conditions using the DVODE [62] solver, which guaranteed that the ODE integration error was insignificant compared to the flow discretization errors.…”

Section: Discretization Methodsmentioning

confidence: 99%

Investigation of Very Large Eddy Simulation Method for Applications of Supersonic Turbulent Combustion

Yan

Cao

et al. 2023

Aerospace

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The very large eddy simulation (VLES) method was investigated for supersonic reacting flows in the present work. The advantages and characteristics of the VLES model and the widely used improved delayed detached eddy simulation (IDDES) method were revealed through a supersonic ramped-cavity cold flow. Compared to the IDDES model, the VLES model transformed from RANS mode to LES mode faster, resulting in a smaller gray region caused by the mode transition. However, the original volume-averaging truncation length scale could lead to poor predictions of the velocity profiles and wall pressure distribution. By introducing a hybrid truncation length scale combining the maximum grid length and the shear layer adaptive (SLA) length with different coefficients, the accuracy of the VLES method was significantly improved, and the issue of the low shear layer position was solved. Moreover, owing to the resolution control function, the VLES method could adaptively model more turbulent kinetic energy and maintain a good accuracy in a coarser mesh. Finally, the modified VLES method was applied in conjunction with a hybrid combustion model constructed by the partially stirred reactor (PaSR) model and the Ingenito supersonic combustion model (ISCM) in simulations of the supersonic flame in the DLR scramjet combustor. After introducing the correction of the molecular collision frequency by the ISCM, the results obtained by the hybrid combustion model were more consistent with the experimental results, especially for the time-averaging temperature profile in the ignition zone.

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Section: Discretization Methodsmentioning

confidence: 99%

Investigation of Very Large Eddy Simulation Method for Applications of Supersonic Turbulent Combustion

Yan

Cao

et al. 2023

Aerospace

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“…[33,34], in the context of the determination of the S-curve of a perfectly stirred reactor. A variety of solutions have been consequently developed to avoid such drawbacks, including efficient second-order splitting strategies [35], more sophisticated treatment of the characteristic time scales of the different chemical species involved [36], as well as proper non-split approaches including efficient treatment of Jacobian matrices [37][38][39].…”

Section: Introductionmentioning

confidence: 99%

A hybrid, non-split, stiff/RKC, solver for advection–diffusion–reaction equations and its application to low-Mach number combustion

Lucchesi

Alzahrani

Safta

et al. 2019

Combustion Theory and Modelling

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We present a new strategy to couple, in a non-split fashion, stiff integration schemes with explicit, extended-stability predictor-corrector methods. The approach is illustrated through the construction of a mixed scheme incorporating a stabilized secondorder, Runge-Kutta-Chebyshev method and the CVODE stiff solver. The scheme is first applied to an idealized stiff reaction-diffusion problem that admits an analytical solution. Analysis of the computations reveals that as expected the scheme exhibits a second-order in time convergence, and that, compared to an operator-split construction, time integration errors are substantially reduced. The non-split scheme is then applied to model the transient evolution of a freely-propagating, 1D methaneair flame. A low-mach-number, detailed kinetics, combustion model, discretized in space using fourth-order differences, is used for this purpose. To assess the performance of the scheme, self-convergence tests are conducted, and the results are contrasted with computations performed using a Strang-split construction. Whereas both the split and non-split approaches exhibit second-order in time behavior, it is seen that for the same value of the time step, the non-split approach exhibits significantly smaller time integration errors. On the other hand, the results also indicate that the application of the present non-split construction becomes attractive when large integration steps are used, due to numerical overhead.

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A fully coupled, fully implicit simulation method for unsteady flames using Jacobian approximation and clustering

Xie

Liu²,

Yao³

et al. 2022

Combustion and Flame

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A spectral radius scaling semi-implicit iterative time stepping method for reactive flow simulations with detailed chemistry

Cited by 11 publications

References 53 publications

Investigation of Very Large Eddy Simulation Method for Applications of Supersonic Turbulent Combustion

Investigation of Very Large Eddy Simulation Method for Applications of Supersonic Turbulent Combustion

A hybrid, non-split, stiff/RKC, solver for advection–diffusion–reaction equations and its application to low-Mach number combustion

A fully coupled, fully implicit simulation method for unsteady flames using Jacobian approximation and clustering

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