Numerical investigation of the pressure and friction resistance of a high-speed subway train based on an overset mesh method

Abstract

The aerodynamic resistance induced by a high-speed metro train entering and operating in a tunnel with a speed of 120 km/h is simulated using a three-dimensional, compressible turbulence model. An overset mesh method is adopted to solve the moving boundary problem, and the flow field around the train is simulated with a k-omega SST turbulence model to obtain accurate stress values at the walls. The selected model is verified with experimental and numerical data from the literature. Then, numerical simulations are performed to analyse the formation mechanisms of the pressure and friction drags. The aerodynamic drag basically stabilizes after the expansion wave passes the train head. The results reveal that the variations in friction resistance are related to the direction of the Mach wave, and this trend differs from that observed for pressure resistance. Mach wave influences the velocity where it passes, and further influences the friction drag. Result shows that friction drag of the train increases when encounter with compression wave propagated from the front or expansion wave propagated from the back, and decreases otherwise. The effects of the blockage ratio on the maximum and average pressure and friction resistance values of each train section are evaluated based on fitting functions. The predicted aerodynamic drag varies with the blockage ratio and for each train section, and the results are summarized and compared with predictions and experimental data from the literature. The variations in tunnel resistance and the overall trend are in good agreement with the previous results. Therefore, the findings presented in this study may provide a reference for the design of high-speed subway tunnels.

Keywords

Blockage ratio high-speed subway friction drag computational fluid dynamics

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References

Raghunathan

Kim

Setoguchi

Aerodynamics of high-speed railway train. Prog Aerosp Sci 2002; 38: 469–514.

Deng

Chen

, et al. Unsteady simulation for a high-speed train entering a tunnel. J Zhejiang Univ Sci A 2011; 12: 957–963.

Meng

Zhou

Wang

Moving model analysis on the transient pressure and slipstream caused by a metro train passing through a tunnel. Plos One 2019; 14: e0222151.

Schetz

JA.

Aerodynamics of high-speed trains. Annu Rev Fluid Mech 2001; 33: 371–414.

Zhou

Mei

YG.

The one-dimensional unsteady flow prediction method for pressure waves in high-speed subway and its applications. Amm 2011; 94-96: 1967–1970.

Tian

Formation mechanism of aerodynamic drag of high-speed train and some reduction measures. J Cent South Univ Technol 2009; 16: 166–171.

Cai

Zhang

Liu

Study on distribution characteristics of aerodynamic drag of high-speed train based on DES. J Railway Sci Eng 2014; 11: 64–69.

Yao

Guo

Yang

, et al. Distribution of high-speed train aerodynamic drag. J China Railw Soc 2012; 34: 18–23.

Cao

Yao

Chen

, et al. An aerodynamic force computation method of high-speed trains based on pressure distribution. Sci Technol Eng 2017; 17: 289.

10.

Cui

Wang

, et al. Shape optimization of high-speed train with the speed of 500kph. In: Proceedings of the 1st international workshop on high-speed and intercity railways, 2012. pp.187–197. Berlin: Springer.

11.

Rendall

TCS

Allen

CB.

Reduced surface point selection options for efficient mesh deformation using radial basis functions. J Comput Phys 2010; 229: 2810–2820.

12.

Hansen

Nawaz

Olsson

Using operational data to estimate the running resistance of trains. Estimation of the resistance in a set of Norwegian tunnels. J Rail Transp Plan Manag 2017; 7: 62–76.

13.

SWECO, High speed rail assessment 2010. 2012, phase 3-corridor west. Tech. Rep. 2011, Jernbaneverket.

14.

Baron

Mossi

Sibilla

The alleviation of the aerodynamic drag and wave effects of high-speed trains in very long tunnels. J Wind Eng Ind Aerodyn 2001; 89: 365–401.

15.

Rabani

Faghih

AK.

Numerical analysis of airflow around a passenger train entering the tunnel. Tunn Undergr Sp Technol 2015; 45: 203–213.

16.

Choi

Kim

KH.

Effects of nose shape and tunnel cross-sectional area on aerodynamic drag of train traveling in tunnels. Tunn Undergr Sp Technol 2014; 41: 62–73.

17.

Yang

Tan

, et al. Aerodynamic drag optimization of subway train head with speed of 160 km/h. J Zhejiang Univ 2017; 51: 2030–2038.

18.

Woods

Pope

CW.

A generalised flow prediction method for the unsteady flow generated by a train in a single-track tunnel. J Wind Eng Ind Aerodyn 1981; 7: 331–360.

19.

Vardy

AE.

Aerodynamic drag on trains in tunnels part 2: prediction and validation. Proc IMechE, Part F: J Rail and Rapid Transit 1996; 210: 39–49.

20.

Vardy

AE.

Aerodynamic drag on trains in tunnels part 1: synthesis and definitions. Proc IMechE, Part F: J Rail and Rapid Transit 1996; 210: 29–38.

21.

Howe

MS.

The compression wave produced by a high-speed train entering a tunnel. Proc R Soc Lond A 1998; 454: 1523–1534.

22.

Muñoz-Paniagua

García

Crespo

Genetically aerodynamic optimization of the nose shape of a high-speed train entering a tunnel. J Wind Eng Ind Aerodyn 2014; 130: 48–61.

23.

Ricco

Baron

Molteni

Nature of pressure waves induced by a high-speed train travelling through a tunnel. J Wind Eng Ind Aerodyn 2007; 95: 781–808.

24.

Zhang

Zhu

Liu

, et al. Mathematical modeling and sensitive analysis of the train-induced unsteady airflow in subway tunnel. J Wind Eng Ind Aerodyn 2017; 171: 67–78.

25.

Cross

Hughes

Ingham

, et al. A validated numerical investigation of the effects of high blockage ratio and train and tunnel length upon underground railway aerodynamics. J Wind Eng Ind Aerodyn 2015; 146: 195–206.

26.

Chen

Hoe

, et al. Field measurements of aerodynamic pressures in tunnels induced by high speed trains. J Wind Eng Ind Aerodyn 2012; 100: 19–29.

27.

Gawthorpe

Pressure effects in railway tunnels. Rail Int 2000; 31: 10–17.

28.

Kim

KY.

Experimental and numerical analyses of train-induced unsteady tunnel flow in subway. Tunn Undergr Sp Tech 2007; 22: 166–172.

29.

Yonemoto

Endo

Meguro

, et al. Small model experiment on the gradient of pressure wave formed by train entering into the tunnel at 160km/h. In: International conference on experimental mechanics 2013 and twelfth Asian conference on experimental mechanics, June 2014, Vol. 9234, p. 92340F. Bangkok: International Society for Optics and Photonics.

30.

Hellsten

Laine

Extension of the k-ω-SST turbulence model for flows over rough surfaces. In: 22nd atmospheric flight mechanics conference, New Orleans, LA, USA, 1997, p.3577.

31.

Liu

Guo

Yao

, et al. The influence of different cross-section shapes of train body on aerodynamic performance. Lect Notes Electr Eng 2012; 148: 19–30.

32.

Chu

Chien

Wang

, et al. Numerical simulation of two trains intersecting in a tunnel. Tunn Undergr Sp Technol 2014; 42: 161–174.

33.

Hwang

Yoon

Lee

, et al. Numerical study of unsteady flowfield around high speed trains passing by each other. JSME Int J Ser B Fluids Thermal Eng 2001; 44: 451–464.

34.

Chen

Zhang

High-order interface for aeroacoustic computation using overset grid. Aiaaj 2013; 51: 519–523.

35.

Wang

Duchaine

Papadogiannis

, et al. An overset grid method for large eddy simulation of turbomachinery stages. J Comput Phys 2014; 274: 333–355.

36.

Pandya

Chan

WM.

Automation of structured overset mesh generation for rocket geometries. In: 19th AIAA computational fluid dynamics, San Antonio, Texas, 22–25 June 2009. paper no. 3993, pp.1–19.

37.

Wang

Mei

Jia

Simulation of aerodynamic effects generated by a high-speed train passing through a tunnel with overset grid method. Chinese J Appl Mech 2017; 34: 589–595.

38.

Tan

Wang

, et al. Analysis of high-speed trains passing each other in the open air based on overset mesh. Comput Syst Appl 2015; 5: 33.

39.

Guo

Liu

Song

, et al. The aerodynamic characteristics of the pantograph when the train passes through the tunnel. In: ASME 2017 fluids engineering division summer meeting, Waikoloa, Hawaii, USA, 30 July–3 August, 2017, paper no. FEDSM2017-69171, V01BT11A008, 7pp.

40.

Maeda

Matsumura

Iida

, et al. Effect of shape of train nose on compression wave generated by train entering tunnel. Proc Int Conf Speed up Technol Railway Maglev Vehicles 1993; 2: 315–319.

41.

Skjæret

Videreutvikling av togkjør. Tech. Rep., NSB Bane, Ingeniørtjenesten, 1994.

42.

Meulman

Beregning av luftmotstanden i tunnelområder, Handwritten note, NSB, 1979.

43.

Filipovic

Elektrische bahnen. Springer-Lehrbuch, Berlin: Heidelberg, 2015.

44.

Vardy

Reinke

Estimation of train resistance coefficients in tunnels from measurements during routine operation. Proc IMechE, Part F: J Rail and Rapid Transit 1999; 213: 71–87.