DDES for Separated Transitional Flows Based on B-C Transition Model

doi:10.19596/j.cnki.1001-246x.8007

Abstract

Abstract: Empirical correlations in B-C transition model were calibrated with experimental values of zero pressure gradient plates. Calibrated B-C transition model predicts reasonably transition positions with low inlet turbulence intensity. However, due to limitations of RANS method, B-C transition model’s accuracy diminishes for massively separated flows. A turbulence closure named transitional Delayed Detached-Eddy Simulation (BC-DDES) method is proposed which combines traditional SA-DDES method and B-C transition model. This method has the potential for accurately capturing massively separated boundary layers in transitional Reynolds number range. Numerical simulation of three-dimensional S-K flat plate shows that BC-DDES method obtains transition prediction consistent with baseline transition model. Comparisons are evaluated on circular cylinder in crossflow. It shows that pressure distribution and drag coefficient of cylinder calculated with BC-DDES method agree well with experimental data, with less computational costs than tHRLES method.

Key words: transition model, calibration, detached-eddy simulation, BC-DDES, massively separated flow

CLC Number:

V211.3

YU Qiuyang, BAO Yun, WANG Shengye, WANG Guangxue. DDES for Separated Transitional Flows Based on B-C Transition Model[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(1): 46-54.

References

[1] JOACHIM H, MARILYN J S. Hybrid Reynolds-averaged Navier-Stokes/large-eddy simulation closure for separated transitional flows[J]. AIAA Journal, 2017, 55(6):1948-1958.
[2] XIAO Z X, CHEN H X, LI Q B, et al. A primary study of transitions in turbulence models[J]. Chinese Journal of Computational Physics, 2006, 23(1):61-65.
[3] DURBIN P, WU X. Transition beneath vortical disturbances[J]. Annual Review of Fluid Mechanics, 2007, 39(1):107-128.
[4] MICHELASSI V, WISSINK J, FROHLICH J, et al. Large-eddy simulation of flow around low-pressure turbine blade with incoming wakes[J]. AIAA Journal, 2003, 41(11):2143-2156.
[5] LIU T X, MA B F. Suitability of low-order numerical schemes in large eddy simulations[J]. Chinese Journal of Computational Physics, 2014, 31(3):307-313.
[6] VAN I J. The e^N method for transition prediction:Historical review of work at TU Delft[R]. AIAA 2008-3830, Seattle, 2008.
[7] KRUMBEIN A, KRIMMELBEIN N, SCHRAUF G. Automatic transition prediction in hybrid flow solver, Part 1:Methodology and sensitivities[J]. Journal of Aircraft, 2009, 46(4):1176-1190.
[8] KRIMMELBEIN N, RADESPIEL R. Transition prediction for three-dimensional flows using parallel computation[J]. Computers & Fluids, 2009, 38(1):121-136.
[9] BISWAS D, FUKUYAMA Y. Calculation of transitional boundary layers with an improved low-Reynolds-number version of the k-ε turbulence model[J]. Journal of Turbomachinery, 1994, 116(4):765-773.
[10] JONES W, LAUNDER J H. The calculation of low-Reynolds-number phenomena with a two-equation model of turbulence[J]. International Journal of Heat and Mass Transfer, 1973, 16(6):1119-1130.
[11] WALTERS D K, LEYLEK J H. A new model for boundary-layer transition using a single-point RANS approach[J]. Journal of Turbomachinery, 2004, 126(1):193-202.
[12] MENTER F R, LANGTRY R B, LIKKI S R, et al. A correlation based transition model using local variables Part 1:Model formulation[J]. Journal of Turbomachinery, 2006, 128(3):57-67.
[13] SPALART P R, ALLMARAS S R. A one-equation turbulence model for aerodynamic flow[J]. Recherche Aeros-patiale, 1992, 439(1):5-21.
[14] SHIVAJI M, JAMES D B. Application of the correlation-based γ-Re_θt transition model to the Spalart-Allmaras turbulence model[R]. AIAA 2011-3979, Honolulu, 2011.
[15] ONUR B, SAMET C C, UNVER K. A novel intermittency distribution based transition model for low-Re number airfoils[R]. AIAA 2013-2531, San Diego, 2013.
[16] SAMET C C, ONUR B, UNVER K. A correlation-based algebraic transition model[J]. ARCHIVE Proceedings of the Institution of Mechanical Engineers, Part C:Journal of Mechanical Engineering Science, 2017, 232(21):3915-3929.
[17] YOU J Y, KWON O J. Blending of sas and correlation-based transition models for flow simulation at supercritical Reynolds numbers[J]. Computers & Fluids, 2013, 80(1):63-70.
[18] 乔磊, 白俊强, 华俊. Gamma-Theta经验转捩模型在DES中的应用[J]. 航空工程进展, 2013, 4(2):226-231.
[19] SANCHEZ R M, MENON S. The compressible hybrid RANS/LES formulation using an additive operator[J]. Journal of Computational Physics, 2009, 228(6):2037-2062.
[20] 张玉伦, 王光学, 孟德虹, 等. γ-Re_θ转捩模型的标定研究[J]. 空气动力学学报, 2011, 29(3):295-301.
[21] SPALART P R, DECK S, SHUR M L, et al. A new version of detached-eddy simulation, resistant to ambiguous grid densities[J]. Theoretical and Computational Fluid Dynamics, 2006, 20(3):181-195.
[22] DENG F, WU Y Z, LIU X Q. Simulation of vortex in separated flows with DES[J]. Chinese Journal of Computational Physics, 2008, 25(6):683-688.
[23] SPALART P R, JOU W H, STRELETS M, et al. Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach[J]. Advances in DNS/LES, 1997, 1(1):4-8.