[ ] ZHOU F, HICKS F E, STEFFLER P M. Obser-vations of air–water interaction in a rapidly filling horizontal pipe[J]. Journal of Hydraulic Engineer-ing, 2002, 128(6): 635-639.
[ ] 程谋森, 张育林. 航天器推进系统管路充填过程动态特性(1)理论模型与仿真结果[J]. 推进技术, 2000(2): 25-28.
CHENG M S, ZHANG Y L. Dynamic characteristics of priming process in spacecraft propulsion system (1) Theoretical model and simulation results[J]. Journal of Propulsion Technology, 2000(2): 25-28(in Chinese).
[ ] 程谋森, 张育林. 推进剂供应管路充填过程研究[J]. 推进技术, 1997, 18(2): 70-74.
CHENG M S, ZHANG Y L. An analysis on prepres-surized and evacuated feedline priming process[J]. Journal of Propulsion Technology, 1997, 18(2): 70-74(in Chinese).
[ ] HATCHER T M, Vasconcelos J G. Peak pressure surges and pressure damping following sudden air pocket compression[J]. Journal of Hydraulic Engi-neering, 2017, 143(4): 04016094.
[ ] 刘昆, 张育林. 液体推进系统充填过程的有限元状态变量模型[J]. 推进技术, 2001, 22(1): 19-21.
LIU K, ZHANG Y L. Finite element state-variable models for the priming process of feed lines[J]. Journal of Propulsion Technology, 2001, 22(1): 19-21(in Chinese).
[ ] 陈宏玉,刘红军,陈建华,等. 基于谱方法的管路充填过程仿真[J]. 航空动力学报,2012, 27(9): 2134-2139.
CHEN H Y, LIU H J, CHEN J H, et al. Investiga-tion of priming process of propellant lines using Fourier spectral method[J]. Journal of Aerospace Power, 2012, 27(9): 2134-2139(in Chinese).
[ ] 陈宏玉,刘红军,刘上. 推进剂管路充填过程的数值模拟[J]. 航空动力学报, 2013, 28(3): 561-566.
CHEN H Y, LIU H J, LIU S, et al. Numerical simu-lation of priming process of propellant pipelines[J]. Journal of Aerospace Power, 2013, 28(3): 561-566(in Chinese).
[ ] 秦艳平, 梁俊龙, 李斌, 等. 基于有限差分 WENO 格式的推进剂供应管路充填特性研究[J]. 推进技术, 2016, 37(9): 1759-1765.
QIN Y P, LIANG J L, LI B, et al. Priming behaviors in propellant feedline analysis based on high order finite different WENO scheme[J]. Journal of Pro-pulsion Technology, 2016, 37(9): 1759-1765(in Chinese).
[ ] ZHOU L, LIU D Y, OU C. Simulation of flow transients in a water filling pipe containing en-trapped air pocket with VOF model[J]. Engineering Applications of Computational Fluid Mechanics, 2011, 5(1): 127-140.
[ ] LIU D Y, ZHOU L. Numerical simulation of transient flow in pressurized water pipeline with trapped air mass[C]// Wuhan, China : Asia-Pacific Power and Energy Engineering Conference, 2009.
[ ] BANDYOPADHYAY A, HAMILL B. Network flow simulation of fluid transients in rocket propul-sion systems[J]. Journal of Propulsion and Power, 2014, 30(6): 1646-1653.
[ ] ZHOU L, LIU D Y, KARNEY B. Investigation of hydraulic transients of two entrapped air pockets in a water pipeline[J]. Journal of Hydraulic Engi-neering, 2013, 139: 949-959.
[ ] MARTIN C S. Entrapped air in pipelines[C]// London : 2nd International Conference on Pressure Surges. 1976.
[ ] DE MARTINO G, GIUGNI M, VIPARELLI M, et al. Pressure surges in water mains caused by air release[C]// Bury St.Edmunds : 8th International Conference on Pressure Surges, 2000.
[ ] MARTIN C S, LEE N H. Rapid expulsion of entrapped air through an orifice[C]// Bury St.Edmunds : 8th International Conference on Pres-sure Surges, 2000.
[ ] BUCUR D M, DUNCA G, CERVANTES M. Maximum pressure evaluation during expulsion of entrapped air from pressurized pipelines[J]. Journal of Applied Fluid Mechanics, 2017,10(1): 11-20.
[ ] TIJSSELING A S, HOU Q, BOZKU? Z. Rapid liquid filling of a pipe with venting entrapped gas: analytical and numerical solutions[J]. Journal of Pressure Vessel Technology, 2019, 141(4):041301.
[ ] Modelica Association. Modelica Librar-ies[EB/OL].(2020-06-05)[2020-12-01] http://www.modelica.org/libraries
[ ] 陈宏玉, 刘红军, 陈建华. 补燃循环发动机强迫起动过程[J]. 航空动力学报, 2015, 30(12):3010-3016.
CHEN H Y, LIU H J, CHEN J H. Forced start-up procedure of a staged combustion cycle engine[J]. Journal of Aerospace Power, 2015, 30(12):3010-3016(in Chinese).
[ ] 赵建军, 丁建完, 周凡利, 等. Modelica语言及其多领域统一建模与仿真机理[J]. 系统仿真学报, 2006, 18(2): 570-573.
ZHAO J J, DING J W, ZHOU F L, et al. Modelica and its mechanism of multi-domain unified model-ing and simulation[J]. Journal of System Simulation, 2006, 18(2): 570-573(in Chinese).
[ ] ZHOU F L. Research on compiling and solving of the unified multi-domain model for engineering systems[D]. Wuhan: Huazhong University of Sci-ence and Technology, 2011(in Chinese).
[ ] ABREU J, CABRERA E, GARCíA S J, et al. Influence of trapped air pockets in pumping sys-tems[C]// Boston: 4th International Conference of Hydraulic Engineering, 1992.
[ ] CABRERA E, ABREU J, PEREZ R, et al. In-fluence of liquid length variation in hydraulic tran-sients[J]. Journal of Hydraulic Engineering, 118(12): 1639–1650.
[ ] HIRT C W, NICHOLS B D. Volume of fluid (VOF) method for the dynamics of free bounda-ries[J]. Journal of Computational Physics, 1981, 39(1): 201-225.
[ ] CHAUDHRY M H. Applied hydraulic transi-ents [M]. New York: Springer Science & Business Media, 2013.
[ ] 任孝文, 陈宏玉, 李平, 等. 弱可压缩流体与可压缩流体模型的管路水击研究[J].推进技术, 2020 ,41(8):1880-1886.
REN X W, CHEN H Y, LI P, et al. Investigation on water hammer in pipes by slightly compressible flu-id model and compressible fluid model[J]. Journal of Propulsion Technology, 2020 ,41(8):1880-1886(in Chinese).
[ ] REN X W, LI P, CHEN H Y. Numerical simu-lation of water hammer in liquid methane feedline based on two compressible fluid mod-els[J].Cryogenics, 2020, 109: 103122.
[ ] 陶文铨. 数值传热学[M]. 西安: 西安交通大学出版社, 2001.
TAO W Q. Numerical heat transfer[M]. Xi’an: Xi’an Jiaotong University Press, 2001(in Chinese).
[ ] 张凯宏, 江欣, 肖明杰, 等.基于流固耦合理论的关机水击特性[J].火箭推进, 2019, 45(02):36-43.
ZHANG K H, JIANG X, XIAO M J. Characteristics of water hammer in shutting based on FSI[J]. Jour-nal of Rocket Propulsion, 2019, 45(02):36-43(in Chinese).
[ ] 汪洪波, 吴海燕, 谭建国. 推进系统动力学[M]. 北京: 科学出版社, 2018.
WANG H B, WU H Y, TAN J G. Dynamics of pro-pulsion systems[M]. Beijing: SciencePress, 2018(in Chinese).
[ ] PETZOLD L R. Description of DASSL: A dif-ferential/algebraic system solver: SAND82-8637[R]. 10th IMACS World Congress, 1982.
[ ] VERSTEEG H K, MALALASEKERA W. An introduction to computational fluid dynamics: the finite volume method[M]. UK: Pearson Education, 2007.
[ ] 陈宏玉. 液氧煤油发动机瞬变过程分布参数建模与仿真研究[D].西安: 西安航天动力研究所, 2013.
CHEN H Y. Investigation on the distributed parame-ter modeling and simulation of transient characteris-tics for a LOX/Kerosene rocket engine[D]. Xi’an: Xi’an Aerospace Propulsion Institute, 2013(in Chi-nese).
[ ] ZHOU F, HICKS F E, STEFFLER P M. Tran-sient flow in a rapidly filling horizontal pipe con-taining trapped air[J]. Journal of Hydraulic Engi-neering, 2002, 128(6): 625-634.
[ ] 任孝文, 李平, 陈宏玉, 等. 预存气体闭端管路的充填水击特性研究[J].推进技术. 2020, 41(12): 2700-2708.
REN X W, LI P, CHEN H Y, et al. Investigation on water hammer during the priming of closed conduit with entrapped air[J] Journal of Propulsion Tech-nology, 2020, 41(12): 2700-2708(in Chinese).