Bayesian parameter estimation of SST model for shock wave-boundary layer interaction flows with different strengths

Tang, Denggao; Li, Jinping; Zeng, Fangfang; Li, Yao; Yan, Chao

doi:10.1016/j.cja.2022.10.009

Cited by 10 publications

(3 citation statements)

References 36 publications

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“…All the calculations in this study are based on the two-dimensional Reynolds-averaged Navier-Stokes (RANS) solver. For the calculation of the flow field, the turbulence model is k-ω shear stress transport (SST), which has been successfully applied to supersonic flows [36][37][38][39]. The fluid is an ideal gas model and is processed as calorically perfect air.…”

Section: Methodsmentioning

confidence: 99%

Mitigation of Shock-Induced Separation Using Square-Shaped Micro-Serrations—A Preliminary Study

Yu,

Gao,

Zhang

et al. 2024

Aerospace

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Suppressing shock-induced flow separation has been a long-standing problem in the design of supersonic vehicles. To reduce the structural and design complexity of control devices, a passive control technique based on micro-serrations is proposed and its controlling effects are preliminarily investigated under test conditions in which the Mach number is 2.5 and the ramp creating an incident shock is 15 deg. Meanwhile, a vorticity-based criterion for assessing separation scales is developed to resolve the inapplicability of the zero skin friction criterion caused by wall unevenness. The simulations demonstrate that the height of the first stair significantly influences the separation length. Generally, the separation length is shorter at higher stairs, but when the height is greater than half of the thickness of the incoming boundary layer, the corresponding separation point moves upstream. A stair with a height of only 0.4 times the thickness of the boundary layer reduces the separation length by 2.69%. Further parametric analysis reveals that while the remaining serrations have limited effects on the flow separation, an optimization of their shape (depth and width) can create more favorable spanwise vortices and offer a modest improvement of the overall controlling performance. Compared to the plate case, a 9.13% reduction in the separation length can be achieved using a slightly serrated design in which the leading stair is 0.1 high and the subsequent serrations are 0.2 deep and 0.05 wide (nondimensionalized, with the thickness of the incoming boundary layer). Meanwhile, the micro-serration structure even brings less drag. Considering the minor modification to the structure, the proposed method has the potential for use in conjunction with other techniques to exert enhanced control on separations.

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Section: Methodsmentioning

confidence: 99%

Mitigation of Shock-Induced Separation Using Square-Shaped Micro-Serrations—A Preliminary Study

Yu,

Gao,

Zhang

et al. 2024

Aerospace

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“…Here, D represents the original closure coefficient, that is D = 9, M represents the number of closure coefficients to be calibrated, and 𝝃 is an independent and identically distributed standard normal vector. Therefore, expression (17) can be updated as follows:…”

Section: Bayesian Calibrationmentioning

confidence: 99%

“…Furthermore, the applicability of the SST model with calibrated parameters is verified under different free‐stream conditions. Tang et al 17 conducted a parameter sensitivity analysis and Bayesian calibration of the closure coefficients of the Menter SST turbulence model for different intensities of SWBLI using the same method as Zhang 16 . The Bayesian uncertainty quantification method is adopted to obtain the posterior probability distributions and MAP estimates of the closure coefficients and the posterior uncertainty of the quantities of interests (QoIs).…”

Section: Introductionmentioning

confidence: 99%

Uncertainty quantification and identification of SST turbulence model parameters based on Bayesian optimization algorithm in supersonic flow

Yang,

Guo,

Zhang

et al. 2023

Numerical Methods in Fluids

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The Reynolds‐Averaged Navier–Stokes (RANS) model is the main model in engineering applications today. However, the normal value of the closure coefficient of the RANS turbulence model is determined based on some simple basic flows and may no longer be applicable for complex flows. In this paper, the closure coefficient of shear stress transport (SST) turbulence model is recalibrated by combining Bayesian method and particle swarm optimization algorithm, so as to improve the numerical simulation accuracy of wall pressure in supersonic flow. First, the obtained prior samples were numerically calculated, and the Sobol index of the closure coefficient was calculated by sensitivity analysis method to characterize the sensitivity of the wall pressure to the model parameters. Second, combined with the uncertainty of propagation parameters by non‐intrusive polynomial chaos (NIPC). Finally, Bayesian optimization is used to quantify the uncertainty and obtain the maximum likelihood function estimation and optimal parameters. The results show that the maximum relative error of wall pressure predicted by the SST turbulence model decreases from 29.71% to 9.00%, and the average relative error decreases from 9.86% to 3.67% through the parameter calibration of Bayesian optimization method. In addition, the system evaluated the calibration effect of three criteria, and the calibration results parameters under the three criteria were all better than the calculated results of the nominal values. Meanwhile, the velocity profile and density profile of the flow field were also analyzed. Finally, the same calibration method was applied to the supersonic hollow cylinder and BSL (Baseline) turbulence model, and the same calibration results were obtained, which verified the universality of the calibration method.

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Numerical Study of Hot-Gas Side Jet in Supersonic Flow

Zhao,

Cheng,

Zhang

et al. 2024

Lecture Notes in Electrical Engineering

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Bayesian parameter estimation of SST model for shock wave-boundary layer interaction flows with different strengths

Cited by 10 publications

References 36 publications

Mitigation of Shock-Induced Separation Using Square-Shaped Micro-Serrations—A Preliminary Study

Mitigation of Shock-Induced Separation Using Square-Shaped Micro-Serrations—A Preliminary Study

Uncertainty quantification and identification of SST turbulence model parameters based on Bayesian optimization algorithm in supersonic flow

Numerical Study of Hot-Gas Side Jet in Supersonic Flow

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