Journal of Jilin University(Engineering and Technology Edition) ›› 2019, Vol. 49 ›› Issue (6): 1959-1968.doi: 10.13229/j.cnki.jdxbgxb20180583

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Flow field reconstruction accuracy influence of proper orthogonal decomposition basis functions in hydrodynamic retarderunder full⁃filled operating condition

Wei WEI1,2(),Xu LIU1,Xue-yong HAN1,Qing-dong YAN1,2   

  1. 1. National Key Laboratory of Vehicular Transmission, Beijing Institute of Technology, Beijing 100081, China
    2. School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China
  • Received:2018-06-07 Online:2019-11-01 Published:2019-11-08

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Abstract:

In order to study the influence of Proper Orthogonal Decomposition (POD) basis functions on the accuracy of flow field reconstruction, the velocity and pressure proper orthogonal bases were obtained respectively for the flow field on the stator interaction surface of hydraulic retarder under full-filled condition. The influences of the instantaneous image factors and rotational speed factors on the proper orthogonal basis were studied, and the flow field is predicted by means of proper orthogonal basis and surrogate model technology. Results show that both the spiting of snapshots database and the frequency of sampling snapshots have significant effects on flow field reconstruction accuracy by POD basis functions while the features of POD basis functions are immune to the speed of the rotor, and the flow field reconstruction based on POD basis is of certain accuracy.

Key words: fluid transmission and control, hydrodynamic retarder, proper orthogonal decomposition basis function, snapshot, sampling frequency, flow field reconstruction

CLC Number: 

  • TH137

Fig.1

Structure diagram of hydraulic retarder"

Fig.2

Full flow channel model of hydrodynamicretarder"

Table 1

Time step settings under different conditions"

转速/(r·min-1)周期/s总时间步数时间步长/(10-4 s)
5000.128002.4
1 0000.248001.2

Fig.3

Change history of brake torque"

Fig.4

POD base energy under differentsnapshots ensemble"

Table 2

Sanpshots sampling frequency setting"

瞬像数目50100125250500
时间间隔/ms1.20.60.480.240.12
采样频率/Hz83.31 666.662 083.34 166.68 333.3

Fig.5

Energy comparison at differentsampling frequencies"

Fig.6

POD reconstruction error"

Fig.7

Comparison of first two POD bases at different speeds"

Fig.8

Comparison of the fifth and sixth modes"

Fig. 9

Energy distribution at different speeds"

Fig.10

Distribution of the first two order POD bases at different rotational speeds"

Fig.11

Reconstruction error analysis"

Fig.12

Pressure surface pressure predictionanalysis at 1 125 r/min"

Fig.13

Pressure surface pressure predictionanalysis at 3 000 r/min"

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