Dynamic mode decomposition and reconstruction error analysis of centrifugal pump impeller flow field

PDF(3858 KB)

Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (5) : 18-25.

VIBRATION AND MECHANICS SCIENCE

Dynamic mode decomposition and reconstruction error analysis of centrifugal pump impeller flow field

ZHANG Runqiang1, NAN Lingbo1, CHEN Diyi*1, HAN Wei2, HUANG Weining3

Author information +

History +

Abstract

Centrifugal pumps are important equipment in liquid transportation, they are widely used in fields of industry, agriculture and engineering.Understanding complex flow inside pumps is of great significance for pump design and optimization.Here, dynamic mode decomposition（DMD）and reconstruction methods were introduced, and complex flow characteristics inside centrifugal pumps were studied.Firstly, the relation between modal energy and frequency was studied aiming at decomposition results of impeller.It was shown that low-frequency modes have higher energy, and modal energy decreases with increase in frequency.Subsequently, distribution of various modes in impeller flow channel was analyzed, and it was shown that main flow structures affecting complex flow inside impeller are distributed at inlet and outlet of impeller; increase in number of modes causes a more fragmented distribution of dynamic modes, so higher-order modes can capture more detailed flow structures.Temporal changes of various modes were studied, it was shown that effects of higher-order modes on flow field gradually decrease with increase in order number.Modal reconstruction methods were studied, it was shown that modal reconstruction can better construct the original flow field.Comparisons of reduced order reconstruction and full order reconstruction with the original flow field showed that the reduced order reconstruction method can also effectively reflect flow’s main characteristics, but some flow information may be lost, this part of information mainly is the amplitude distribution in flow field, it is stored in higher-order modes and related to complex flow at impeller outlet; DMD method can effectively extract main flow characteristics inside centrifugal pump, and provide a study basis for design optimization of vibration and noise reduction in centrifugal pumps.

Key words

centrifugal pump / dynamic mode decomposition（DMD） / mode reconstruction / error analysis

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

ZHANG Runqiang1, NAN Lingbo1, CHEN Diyi1, HAN Wei2, HUANG Weining3. Dynamic mode decomposition and reconstruction error analysis of centrifugal pump impeller flow field[J]. Journal of Vibration and Shock, 2025, 44(5): 18-25

References

［1］WU C S, ZHANG W Q, WU P, et al.Effects of blade pressure side modification on unsteady pressure pulsation and flow structures in a centrifugal pump［J］.Journal of Fluids Engineering: Transactions of the ASME, 2021, 143(11): 111208.
［2］裴吉,王文杰,袁寿其,等.低比转数离心泵内部非定常流动特性数值预测［J］.农业机械学报,2014,45(1): 79-83.
PEI Ji, WANG Wenjie, YUAN Shouqi, et al.Numerical prediction of unsteady flow characteristics in low specific revolutions centrifugal pump［J］.Transactions of the Chinese Society for Agricultural Machinery,2014,45(1): 79-83.
［3］朱相源,赖芬,谢昌成,等.离心泵动静干涉的试验及数值研究［J］.哈尔滨工程大学学报,2020,41(8): 1176-1183.
ZHU Xiangyuan, LAI Fen, XIE Changcheng, et al.Experimental and numerical study on dynamic and static interference of centrifugal pump［J］.Journal of Harbin Engineering University, 2019,41(8): 1176-1183.
［4］王文杰,邓起凡,裴吉,等.双吸离心泵压力脉动特性数值模拟及试验研究［J］.振动与冲击,2020,39(19): 107-113.
WANG Wenjie, DENG Qifan, PEI Ji, et al.Numerical simulation and experimental study on pressure pulsation characteristics of double suction centrifugal pump［J］.Journal of Vibration and Shock, 2019,39(19): 107-113.
［5］顾延东,袁寿其,裴吉,等.调速对低比转数离心泵外特性和内流场的影响［J］.工程热物理学报,2020,41(12): 2950-2956.
GU Yandong, YUAN Shouqi, PEI Ji, et al.Influence of speed regulation on external characteristics and internal flow field of low specific revolutions centrifugal pump［J］.Chinese Journal of Engineering Thermophysics,2020,41(12): 2950-2956.
［6］张德胜,杨雪琪,杨港,等.不同导叶开度下立式蜗壳离心泵失速特性分析［J］.农业机械学报,2022,53(3): 175-182.
ZHANG Desheng, YANG Xueqi, YANG Gang, et al.Stall characteristics analysis of vertical volute centrifugal pump with different guide vane opening［J］.Transactions of the Chinese Society for Agricultural Machinery,2022,53(3): 175-182.
［7］万伦,宋文武,罗旭,等.叶片出口安放角对中比转速离心泵非定常性能的影响研究［J］.中国农村水利水电,2020(7): 225-230.
WAN Lun, SONG Wenwu, LUO Xu, et al.Influence of blade outlet setting angle on unsteady performance of medium specific speed centrifugal pump［J］.China Rural Water Resources and Hydropower,2020(7): 225-230.
［8］黎义斌,王政凯,范兆京.基于Omega涡识别方法的离心泵内非定常流动数值评价［J］.工程热物理学报,2021,42(12): 3187-3194.
LI Yibin, WANG Zhengkai, FAN Zhaojing.Numerical evaluation of unsteady flow in centrifugal pump based on Omega vortex identification method［J］.Journal of Engineering Thermophysics, 2019,42(12): 3187-3194.
［9］卢金玲,郭蕾,王李科,等.半开叶轮离心泵叶顶间隙非定常流动特性研究［J］.农业机械学报,2019,50(6): 163-172.
LU Jinling, GUO Lei, WANG Like, et al.Unsteady flow characteristics of tip clearance in semi-impeller centrifugal pump［J］.Transactions of the Chinese Society for Agricultural Machinery,2019,50(6): 163-172.
［10］ZHANG N, JIANG J, GAO B, et al.Numerical analysis of the vortical structure and its unsteady evolution of a centrifugal pump［J］.Renewable Energy, 2020, 155: 748-760.
［11］CAO L, ZHAO X, XIAO Y, et al.Unsteady flow and pressure pulsation characteristics analysis of rotating stall in centrifugal pumps under off-design conditions［J］.Journal of Fluids Engineering, 2017, 140(2): 021105.
［12］LI D L, ZHANG N, JIANG J X, et al.Numerical investigation on the unsteady vortical structure and pressure pulsations of a centrifugal pump with the vaned diffuser［J］.International Journal of Heat and Fluid Flow, 2022, 98: 109050.
［13］ZHANG N, ZHENG F K, LIU X K, et al.Unsteady flow fluctuations in a centrifugal pump measured by laser Doppler anemometry and pressure pulsation［J］.Physics of Fluids, 2020, 32(12): 125108.
［14］ZHANG N, JIANG J X, GAO B, et al.DDES analysis of unsteady flow evolution and pressure pulsation at off-design condition of a centrifugal pump［J］.Renewable Energy, 2020, 153: 193-204.
［15］SCHMID P J.Dynamic mode decomposition of numerical and experimental data［J］.Journal of Fluid Mechanics，2010,656: 5-28.
［16］SCHMID P J, LI L, JUNIPER M P, et al.Application of the dynamic mode decomposition［J］.Theoretical and Computational Fluid Dynamics， 2011,25: 249-259.
［17］SCHMID P J.Application of the dynamic mode decomposition to experimental data［J］.Experimentsin Fluids, 2011,50(4): 1123-1130.
［18］SUN C, TIAN T, ZHU X C, et al.Investigation of the near wake of a horizontal-axis wind turbine model by dynamic mode decomposition［J］.Energy, 2021, 227: 120418.
［19］XU L C, LIU Z X, LI X J, et al.Dynamic mode characteristics of flow instabilities in a centrifugal compressor impeller［J］.Aerospace Science and Technology, 2023, 142: 108707.
［20］谢海润,吴亚东,欧阳华,等.基于本征正交分解和动态模态分解的尾涡激振现象瞬态过程的模态分析［J］.上海交通大学学报,2020,54(2): 176-185.
XIE Hairun, WU Yadong, OUYANG Hua, et al.Modal analysis of transient processes of tail vortex induced vibration based on eigenorthogonal decomposition and dynamic mode decomposition［J］.Journal of Shanghai Jiao Tong University, 2019,54(2): 176-185.
［21］陈学炳,张人会,蒋利杰,等.离心泵叶轮内非定常流动的动态模态分解分析［J］.振动与冲击,2022,41(14): 33-40.
CHEN Xuebing, ZHANG Renhui, JIANG Lijie, et al.Dynamic modal decomposition analysis of unsteady flow in impeller of centrifugal pump［J］.Journal of Vibration and Shock,202,41(14): 33-40.
［22］ZHANG S, CHEN H, MA Z, et al.Unsteady flow and pressure pulsation characteristics in centrifugal pump based on dynamic mode decomposition method［J］.Physics of Fluids, 2022,34(11): 112014.
［23］童哲铭,辛佳格,童水光.基于动态模态分解的叶道涡非定常解耦与重构［J］.中国机械工程,2022,33(7): 769-776.
TONG Zheming, XIN Jiage, TONG Shuiguang.Unsteady decoupling and reconstruction of vane vorticity based on dynamic mode decomposition［J］.China Mechanical Engineering,2022,33(7): 769-776.
［24］孙翀,田甜,竺晓程,等.基于大涡模拟下风力机翼型非定常转捩流动的动态模态分解分析［J］.工程热物理学报,2021,42(12): 3156-3163.
SUN Chong, TIAN Tian, ZHU Xiaocheng, et al.Dynamic mode decomposition analysis of unsteady transition flow of wind airfoil based on large eddy simulation［J］.Journal of Engineering Thermophysics, 2019,42(12): 3156-3163.
［25］张人会,王少华,OSMAN JUMA S A.螺旋轴流式油气混输泵导叶内非定常流动DMD分析［J］.农业机械学报,2020,51(9): 118-126.
ZHANG Renhui, WANG Shaohua, OSMAN JUMA S A.Analysis of unsteady flow DMD in guide vane of spiral axial flow oil and gas mixed transport pump［J］.Transactions of the Chinese Society for Agricultural Machinery, 2019,51(9): 118-126.
［26］CILLIS G D, SEMERARO O, LEONARDI S, et al.Dynamic-mode-decomposition of the wake of the NREL-5 MW wind turbine impinged by a laminar inflow［J］.Renewable Energy, 2022, 199: 1-10.
［27］ZHONG J W, LI J Y, LIU H Z.Dynamic mode decomposition analysis of flow separation control on wind turbine airfoil using leading-edge rod［J］.Energy, 2023,268: 126656.
［28］KOU J, ZHANG W.An improved criterion to select dominant modes from dynamic mode decomposition［J］.European Journal of Mechanics/B Fluids, 2017, 62: 109-129.
［29］JOVANOVI R M, SCHMID J P, NICHOLS W J.Sparsity-promoting dynamic mode decomposition［J］.Physics of Fluids, 2014, 26(2): 024103.