A Review of Refined Interior Ballistics Model of Artillery:Model-driven and Data-driven Approaches

ZHANG Xiaobing; XIAO Yutang

doi:10.12382/bgxb.2025.0279

您当前的位置：

首页 >

文章列表页 >

A Review of Refined Interior Ballistics Model of Artillery:Model-driven and Data-driven Approaches

更新时间：2026-04-24

- A Review of Refined Interior Ballistics Model of Artillery:Model-driven and Data-driven Approaches
- Acta Armamentarii Vol. 47, Issue 3, Pages: 250279(2026)
- 作者机构：
  
  南京理工大学能源与动力工程学院，江苏南京 210094
- 作者简介：
- 基金信息：
- DOI：10.12382/bgxb.2025.0279
  CLC： TJ301
- Received：15 April 2025，
  
  Online First：27 January 2026，
  
  Published：2026-03
- 稿件说明：
移动端阅览
ZHANG Xiaobing, XIAO Yutang. A Review of Refined Interior Ballistics Model of Artillery:Model-driven and Data-driven Approaches[J]. Acta Armamentarii, 2026, 47(3): 250279.
DOI：

ZHANG Xiaobing, XIAO Yutang. A Review of Refined Interior Ballistics Model of Artillery:Model-driven and Data-driven Approaches[J]. Acta Armamentarii, 2026, 47(3): 250279. DOI： 10.12382/bgxb.2025.0279.

摘要

近年来武器试验事故频发，主要在于测试和设计理论相对落后，难以满足现代高装填密度、高膛压和高初速火炮设计和试验的严格要求。内弹道是武器设计和优化的理论基础，更精确和详细地描述膛内射击过程是现代新型装药结构和新发射技术火炮发展的迫切要求。为此，对内弹道计算误差的产生原因进行分析，提出内弹道模型精细化研究。从数学模型、数值解法和多物理场耦合3个方面详细探讨模型驱动的精细化研究进展，并对数据驱动在精细化中的应用进行阐述；此外，对内弹道模型精细化未来的发展方向进行了展望，旨在鼓励相关研究者克服现有的各种技术挑战和不足，促进现代火炮的发展。

Abstract

Over the past decade

the accidents have occurred frequently during weapon test predominantly due to the relatively outdated test and design theories

which are unable to meet the stringent requirements of modern artillery tests characterized by high loading density

elevated chamber pressure

and high initial velocity. The interior ballistics serves as the theoretical foundation for the design and optimization of weapons. A more precise and comprehensive description of the in-bore firing process is an urgent necessity for developing the modern new charge structures and launch technology of artillery. Therefore

the sources of computational errors in interior ballistics are analyzed

and a refined interior ballistics model is proposed. The research status of model-driven approach of refined interior ballistics is discussed from three aspects: mathematical model

numerical solution and multi-physical field coupling

and the application of data-driven approach in the refinement of interior ballistics model is described in detail. Finally

the future development directions of the refinement of interior ballistics model are prospected

with the aim of encouraging the relevant researchers to overcome the existing technical challenges and shortcomings

and promoting the advancement of modern artillery.

关键词

Keywords

references

张小兵.枪炮内弹道[M].北京：北京理工大学出版社,2014.

ZHANG X B. Interior ballistics of guns[M]. Beijing: Beijing Institute of Technology Press,2014. (in Chinese)

张小兵,薛涛.内弹道学发展与展望[J].南京理工大学学报, 2023,47(4):446-460.

ZHANG X B, XUE T. Developments and prospects of interior ballistics[J]. Journal of Nanjing University of Science and Technology,2023,47(4):446-460. (in Chinese)

刘宁,张相炎.基于遗传算法的火炮内弹道参数修正[J].弹箭与制导学报,2006,26(增刊4):772-774.

LIU N,ZHANG X Y. Interior ballistic parameters updating based on genetic algorithms[J]. Journal of Projectiles,Rockets,Missiles and Guidance,2006,26(S4):772-774. (in Chinese)

程诚,张小兵.内弹道两相流三维并行数值模拟[J].兵工学报,2019,40(4):769-776.

CHENG C,ZHANG X B. Parallel numerical simulation on three-dimensional two-phase flow of interior ballistic trajectory[J]. Acta Armamentarii,2019,40(4):769-776. (in Chinese)

HU C B,ZHANG X B. A thermal compensated model for predicting the internal combustion of energetic materials in a combustion chamber[J]. Applied Thermal Engineering, 2019, 162 (5):114237.

HU C B,ZHANG X B. Influence of multiple structural parameters on interior ballistics based on orthogonal test methods[J]. Defence Technology,2019,15(5):690-697.

张胜民,刘云赋.一种基于“GM(1,1)”模型的火炮初速灰预测方法[J].指挥控制与仿真,2007,29(5):67-69.

ZHANG S M,LIU Y F. Kind of the muzzle velocity grey prediction method based on the GM(1,1) model[J]. Command Control &Simulation,2007,29(5):67-69. (in Chinese)

ONGARO F, ROBBE C, PAPY A, et al. Modelling of internal ballistics of gun systems:a review[J]. Defence Technology,2024, 41:35-58.

金志明.枪炮内弹道学[M].北京：北京理工大学出版社,2004.

JIN Z M.Interior ballistics of guns[M]. Beijing:Beijing Institute of Technology Press,2004. (in Chinese)

鲍廷钰,邱文坚.内弹道学[M].北京：北京理工大学出版社,1995.

BAO T Y, QIU W J. Interior ballistics[M]. Beijing: Beijing Institute of Technology Press,1995. (in Chinese)

金志明.高速推进内弹道学[M].北京：国防工业出版社, 2001.

JIN Z M. Interior ballistics of hypervelocity propulsion [M].Beijing:National Defense Industry Press,2001.（in Chinese）

张小兵,彭振伟,王力,等.串联双药室火炮经典内弹道模型及数值模拟[J].南京理工大学学报,1999,23(2):101-104.

ZHANG X B,PENG Z W,WANG L,et al. A classical model of serial double chamber gun and its numerical simulation[J]. Journal of Nanjing University of Science and Technology,1999, 23(2):101-104. (in Chinese)

王颖泽,张小兵,袁亚雄.膨胀波火炮后喷装置流场性能分析[J].兵工学报,2009,30(5):525-530.

WANG Y Z, ZHANG X B, YUAN Y X. Analysis of flow field performance back blast mechanism for rarefaction wave gun[J]. Acta Armamentarii,2009,30(5):525-530. (in Chinese)

季新源,袁亚雄,张小兵,等.超高射频武器系统的设计与分析[J].兵工学报,2007,28(8):1021-1024.

JI X Y,YUAN Y X,ZHANG X B,et al. Design and investigation of hyper firing-rate gun[J]. Acta Armamentarii,2007,28(8):1021-1024. (in Chinese)

罗乔,张小兵.基于FLUENT软件和内弹道模型双向耦合的超高射频火炮发射过程模拟[J].兵工学报,2016,37(10):1949-1955.

LUO Q,ZHANG X B. Simulation for launch process of ultrahigh firing rate guns based on two-way coupling of FLUENT and interior ballistic model[J]. Acta Armamentarii,2016,37(10):1949-1955. (in Chinese)

杨均匀,金志明,张小兵.一级轻气炮内弹道数值模拟[J].弹道学报,1998,10(4):25-29.

YANG J Y, JIN Z M, ZHANG X B. Numerical simulation of interior ballistic process of a first stage light gas gun[J]. Journal of Ballistics,1998,10(4):25-29. (in Chinese)

郁伟,朱斌,张小兵.耦合内弹道过程的膛口流场数值模拟与分析[J].南京理工大学学报,2009,33(3):335-338,343.

YU W,ZHU B,ZHANG X B. Numerical simulation and analysis of muzzle flow field coupling with interior ballistic process[J]. Journal of Nanjing University of Science and Technology,2009, 33(3):335-338,343. (in Chinese)

李克婧,张小兵.混合装药内弹道性能优化及应用[J].火炸药学报,2011,34(6):74-79.

LI K J, ZHANG X B. Optimization and application of interior ballistic performance with mixed charge[J]. Chinese Journal of Explosives & Propellants,2011,34(6):74-79. (in Chinese)

李克婧,张小兵.改进型实数编码遗传算法在内弹道优化中的应用[J].弹道学报,2009,21(3):19-22.

LI K J,ZHANG X B. Application of improved real-coded genetic algorithm in interior ballistic optimization[J].Journal of Ballistics,2009,21(3):19-22. (in Chinese)

赵小亮,张小兵.管状发射药内孔侵蚀燃烧与流动特性[J].含能材料,2019,27(3):202-209.

ZHAO X L,ZHANG X B. Internal perforation erosive burning and flow characteristics of tubular propellant[J]. Chinese Journal of Energetic Materials,2019,27(3):202-209. (in Chinese)

HE H Z,ZHANG X B. Local high temperature phenomena near the complex interfaces of thermal barrier coatings based on non-Fourier model[J]. International Communications in Heat and Mass Transfer,2024,159(Part A):107940.

ZHANG Y D,XUE T,ZHANG X B. Investigation of heat transfer in cracked gun barrels[J]. International Journal of Thermal Sciences,2024,201:109024.

LI T Y,ZHANG X B. Laser ignition process of energetic particles under consideration of non-Fourier effect[J]. Propellants, Explosives,Pyrotechnics,2022,47(9):e202200112.

林庆华,栗保明.电热化学炮内弹道过程的势平衡分析[J].兵工学报,2008,29(4):487-490.

LIN Q H, LI B M. Potential equilibrium analysis of interior ballistic processes in electro-thermal chemical gun[J]. Acta Armamentarii,2008,29(4):487-490. (in Chinese)

师军飞,钱林方,陈红彬,等.埋头弹高速冲击挤进入膛特性研究[J].兵工学报,2023,44(3):656-669.

SHI J F, QIAN L F, CHEN H B, et al. High-speed impact engraving characteristics of cased telescoped ammunition[J]. Acta Armamentarii,2023,44(3):656-669. (in Chinese)

CHENG S S,TAO R Y,LU X G,et al. Numerical simulation of interior ballistics two-phase flow in modular charge based on the particle element method[J]. Case Studies in Thermal Engineering,2024,61:105121.

刘宁,高永峰,於永硕,等.液体发射药迫击炮低压发射性能的数值及实验研究[J].弹道学报,2023,35(3):89-94.

LIU N, GAO Y F, YU Y S, et al. Numerical and experimental research on low-pressure launching performances of liquid propellant mortar[J].Journal of Ballistics,2023,35(3):89-94. (in Chinese)

袁亚雄,张小兵.高温高压多相流体动力学基础[M].哈尔滨：哈尔滨工业大学出版社,2005.

YUAN Y X,ZHANG X B. Multiphase hydrokinetic foundation of high temperature and high pressure[M]. Harbin:Harbin Institute of Technology Press,2005. (in Chinese)

GOUGH P, ZWARTS F. Modeling heterogeneous two-phase reacting flow[J]. AIAA Journal,1979,17(1):17-25.

MIURA H, MATSUO A, NAKAMURA Y. Multi-dimensional simulation on ignition stage of granular solid propellant varying primer configuration[J]. International Journal of Energetic Materials and Chemical Propulsion,2008,7(6):507-522.

MIURA H,MATSUO A,NAKAMURA Y. Numerical prediction of interior ballistics performance of projectile accelerator by solid/gas two-phase reacting flow simulation[C]∥Proceedings of the 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition. Orlando, FL, US:AIAA,2010:4-7.

JARAJMAZ S,MICKOVICI D,ELEK P. Two-phase flows in gun barrel: Theoretical and experimental studies[J]. International Journal of Multiphase Flow,2011,37(5):475-487.

张小兵,袁亚雄.基于两相流方程的内弹道相似性分析[J].弹道学报,1995,7(3):1-5.

ZHANG X B,YUAN Y X. Similarity analysis of interior ballistics process based on two-phase flow equations[J]. Journal of Ballistics,1995,7(3):1-5. (in Chinese)

HU C B, ZHANG X B. A fluid-structure coupling method to obtain parameter distributions in a combustion chamber with moving boundaries[J]. Applied Thermal Engineering,2018,141:1048-1054.

SUN Y J,ZHANG X B. A hybrid strategy of lattice Boltzmann method and finite volume method for combined conduction and radiation in irregular geometry[J]. International Journal of Heat and Mass Transfer,2018,121:1039-1054.

孙玉佳,张小兵.耦合内弹道两相流模型的炮管热安全性研究[J].兵器装备工程学报,2022,43(7):115-120.

SUN Y J, ZHANG X B. Thermal safety analysis of gun barrel based on two-phase interior ballistics models[J]. Journal of Ordnance Equipment Engineering,2022,43(7):115-120. (in Chinese)

HU C B,ZHANG X B. A Coupled computational framework for the transient heat transfer in a circular pipe heated internally with expanding heat sources[J]. Journal of Pressure Vessel Technology,2020,142(6):061401.

WANG Y T, DING S K, ZHANG X B. A novel structure for improving the service life of a propulsion system by controlling two-phase reactive flow[J]. Powder Technology, 2024, 433:119221.

WANG Y T,ZHANG X B. Numerical investigation on muzzle flow characteristics for small combustion chamber with embedded propelled body[J]. Structures,2023,50:1783-1793.

张小兵,袁亚雄,任如海.含能材料激光点火性能研究[J].兵工学报,2002,23(1):23-26.

ZHANG X B, YUAN Y X, REN R H. Experimental and theoretical study on the performance of laser ignition of energetic materials[J]. Acta Armamentarii,2002,23 (1):23-26. (in Chinese)

林杨淦,刘东尧.低温破碎及装药结构对内弹道性能影响的数值分析[J].火炸药学报,2024,47(4):381-392.

LIN Y G, LIU D Y. Numerical analysis of effects of low temperature crushing and charge structure on interior ballistic properties crushing[J]. Chinese Journal of Explosives &Propellants,2024,47(4):381-392. (in Chinese)

KUO K K,SUMMERFIELD M. Theory of steady-state burning of gas-permeable propellants[J]. AIAA Journal, 1974, 12 (1):49-56.

BAER M,NUNZIATO J W. A two-phase mixture theory for the deflagration-to-detonation transition (DDT) in reactive granular materials[J]. International Journal of Multiphase Flow,1986, 12(6):861-889.

SAUREL R, ABGRALL R. A multiphase Godunov method for compressible multifluid and multiphase flows[J]. Journal of Computational Physics,1999,150:425-467.

SUNG H G, JANG J S, ROH T S. Application of Eulerian-Lagrangian approach to gas-solid flows in interior ballistics[J]. Journal of Applied Mechanics,2013,80(3):031407.

JANG J S,SUNG H G, ROH T S, et al. Numerical analysis of interior ballistics through Eulerian-Lagrangian approach[J]. Journal of Mechanical Science & Technology, 2013, 27 (8):2351-2357.

FLORIO L A. Direct particle motion and interaction modeling method applied to simulate propellant burn[J]. Applied Mathematical Modelling,2013,37(8):5606-5626.

张小兵,翁春生,金志明,等.混合颗粒床中颗粒轨道模型及其数值模拟[J].工程力学,1998,15(2):129-137.

ZHANG X B,WENG C S,JIN Z M,et al. The particle trajectory model and simulation in composite particle bed[J]. Engineering Mechanics,1998,15(2):129-137. (in Chinese)

CHEN Q, ZHANG X B, ZHANG J F. Improved treatments for general boundary conditions in the lattice Boltzmann method for convection-diffusion and heat transfer processes[J]. Physical Review E,2013,88:033304.

KAGANKIEWICZ F, MAGIER M. Mathematical formulation for the numerical solution of the internal ballistics of classical weapons in Lagrangian coordinates[J]. Continuum Mechanics and Thermodynamics,2024,36:1147-1168.

KAGANKIEWICZ F,MAGIER M. Experimental verification of the internal ballistics numerical simulations of classical weapons in Lagrangian coordinates[J]. Computational Mechanics of Materials,2024,36:1323-1337.

马天一,陶如意,周思渊,等.模块装药短管炮实验及数值模拟研究[J].弹道学报,2024,36(2):44-52.

MA T Y,TAO R Y,ZHOU S Y,et al. Experimental and numerical simulation study of short-barrel gun with modular charges[J]. Journal of Ballistics,2024,36(2):44-52. (in Chinese)

何新佳,马中亮,代淑兰.改进萤火虫算法在混合装药内弹道性能优化中的应用[J].火炮发射与控制学报,2022, 43(3):26-32.

HE X J,MA Z L,DAI S L. Application of an improved firefly algorithm for optimizing the interior ballistic performance of a mixed charge[J]. Journal of Gun Launch & Control, 2022, 43(3):26-32. (in Chinese)

DONG X L, RUI X T, LI C. Interior ballistic two-phase flow model and its calculation for a mixed charge structure[J]. International Communications in Heat and Mass Transfer,2023, 144:106788.

赵小亮,张小兵.太根发射药气相总包化学反应模型及数值分析[J].哈尔滨工程大学学报,2021,42(4):548-554.

ZHAO X L, ZHANG X B. Combustion model of the triethyleneglycol dinitrate propellant gas combustion region based on global kinetics and numerical analysis[J]. Journal of Harbin Engineering University,2021,42(4):548-554. (in Chinese)

王宏金,宁变芳,张国平,等.埋头弹复合药筒抽壳闭气性能分析与改进设计[J].兵工学报,2024,45(增刊1):112-119.

WANG H J,NING B F,ZHANG G P,et al. Performance analysis and improved design of cartridge extracting and sealing of cased telescoped ammunitions[J]. Acta Armamentarii,2024,45(S1):112-119. (in Chinese)

熊佳敏,陆欣.发射药冲击破碎对埋头弹装药燃烧和内弹道性能影响的数值模拟[J].火炸药学报,2023,46(4):352-360.

XIONG J M,LU X. Numerical simulation of the effect of impact crushing of propellant grains on the combustion and internal ballistic of the CTA[J]. Chinese Journal of Explosives &Propellants,2023,46(4):352-360. (in Chinese)

尹秋霖,陈琦,王中原,等.考虑时空协同的滑翔制导炮弹单炮多发快速弹道规划[J].兵工学报,2024,45(3):798-809.

YIN Q L,CHEN Q,WANG Z Y,et al. Rapid trajectory planning for glide-guided projectiles in single-gun multi-shot scenarios considering time-spatial coordination[J]. Acta Armamentarii, 2024,45(3):798-809. (in Chinese)

刘朋展,王国强,苏精明,等.无人机载无后坐力枪内弹道性能数值模拟[J].兵工自动化,2024,43(10):11-13.

LIU P Z,WANG G Q,SU J M, et al. Numerical simulation of internal ballistics performance of recoilless gun equipped with UAV[J]. Ordnance Industry Automation,2024,43(10):11-13. (in Chinese)

王语涵,李志刚,曹从咏.大口径膨胀波火炮减后坐效率分析[J].火炮发射与控制学报,2022,43(2):20-25.

WANG Y H, LI Z G, CAO C Y. Analysis of recoil reduction efficiency of a large caliber rarefaction wave gun[J]. Journal of Gun Launch & Control,2022,43(2):20-25. (in Chinese)

张培忠,商飞,杭宇,等. “金属风暴”武器的耦合膛压测试弹设计[J].弹道学报,2022,34(1):83-88.

ZHANG P Z,SHANG F,HANG Y,et al. Design on measuring bullet of coupling bore pressure for metal storm weapon[J]. Journal of Ballistics,2022,34(1):83-88. (in Chinese)

胡斌,王震,何行,等.基于CFD的燃烧轻气炮发射过程仿真[J].舰船科学技术,2022,44(10):180-184.

HU B,WANG Z,HE X,et al. Simulation for launch process of combustion light gas gun based on CFD[J]. Ship Science and Technology,2022,44(10):180-184. (in Chinese)

ROTARIU A, TRANA E, MATACHE L, et al. A HiLo interior ballistic model based on the hypothesis of gases adiabatic transformation in the high-pressure chamber[J]. Case Studies in Thermal Engineering. 2023,45:102928.

赵伟,侯保林.电磁炮纤维缠绕约束结构多目标优化[J].兵工学报,2024,45(11):3820-3832.

ZHAO W, HOU B L. Multi-objective optimization of filament winding constrained structure of electromagnetic gun[J]. Acta Armamentarii,2024,45(11):3820-3832. (in Chinese)

马昌军,张小兵.基于改进两相流模型的模块装药内弹道模拟[J].兵工学报,2013,34(6):678-683.

MA C J,ZHANG X B. Interior ballistics simulation of modular propellant charge using an improved two-phase flow model[J]. Acta Armamentarii,2013,34(6):678-683. (in Chinese)

ELSADEK H,ZHANG X B,RASHAD M M,et al. Two phase flow modeling of the interior ballistics for a naval medium caliber gun with guided projectile[J]. Applied Mechanics & Materials,2013, 465:531-535.

WANG Y T,ZHANG X B. Influence of embedded structure on two-phase reactive flow characteristics for a small combustion chamber with a moving boundary[J]. Physics of Fluids,2024, 36(3):033339.

张小兵,袁亚雄,陈健,等.等离子体点传火过程两相流数值模拟[J].火炮发射与控制学报,2002(4):1-5.

ZHANG X B,YUAN Y X,CHEN J,et al. Numerical simulation of two-phase flow of plasma ignition process[J]. Journal of Gun Launch & Control,2002(4):1-5. (in Chinese)

李海庆,张小兵,李筱炜,等.激光多点点火二维两相流数值模拟[J].兵工学报,2012,32(3):257-260.

LI H Q,ZHANG X B,LI X W,et al. Two-dimensional two-phase flow numerical simulation of multi-point laser ignition[J]. Acta Armamentarii,2012,32(3):257-260. (in Chinese)

王颖泽,张小兵.膨胀波火炮两相流内弹道性能分析与数值模拟[J].兵工学报,2010,31(2):154-159.

WANG Y Z,ZHANG X B. Two-phase flow property analysis and numerical simulation of interior ballistics for rarefaction wave gun[J].Acta Armamentarii,2010,31(2):154-159. (in Chinese)

张小兵.高膛压火炮异常压力实验研究及数值模拟[D].南京：南京理工大学,1995.

ZHANG X B. Experimental study and numerical simulation of abnormal pressure of high chamber pressure artillery[D]. Nanjing:Nanjing University of Science and Technology,1995. (in Chinese)

王颖泽,张小兵,袁亚雄.膨胀波在火炮膛内传播规律的捕捉计算分析[J].弹道学报,2009,21(2):1-5.

WANG Y Z,ZHANG X B. Analysis of capturing calculation of propagation law about rarefaction wave in gun[J]. Journal of Ballistics,2009,21(2):1-5. (in Chinese)

LUO Q, ZHANG X B. Numerical simulation of serial launch process of multiple projectiles considering the aftereffect period[J]. International Journal of Numerical Methods for Heat & Fluid Flow,2017,27:1720-1734.

李海庆,张小兵,王艳.串联多药室火炮内弹道两相流数值模拟[J].兵工学报,2012,33(5):513-518.

LI H Q, ZHANG X B, WANG Y. Two phase flow numerical simulation of interior ballistics of the series chamber gun[J]. Acta Armamentarii,2012,33(5):513-518. (in Chinese)

申越,袁亚雄,张小兵.超高射频武器系统的内弹道一维两相流数值仿真[J].兵工学报,2005,26(5):600-604.

SHEN Y, YUAN Y X, ZHANG X B. One-dimension two-phase flow numerical simulation of interior ballistics for hyper firing-rate weapon system[J]. Acta Armamentarii,2005,26(5):600-604. (in Chinese)

倪志军,周克栋,赫雷,等. CTVD算法在金属风暴武器内弹道中的应用[J].弹道学报,2008,20(3):36-40.

NI Z J,ZHOU K D,HE L,et al. Application of CTVD algorithm in interior ballistics of metal storm weapon[J]. Journal of Ballistics,2008,20(3):36-40. (in Chinese)

赫雷,宋学平,倪志军,等.序贯装药金属风暴武器内弹道的两相流模型及数值模拟[J].兵工学报,2007,28(3):377-381.

HE L,SONG X P,NI Z J,et al. Interior-ballistic model of two-phase flow and numerical simulation of metal storm weapon system with powder loaded in serial mode[J]. Acta Armamentarii,2007, 28(3):377-381. (in Chinese)

邓飞,张相炎.燃烧轻气炮氢氧燃烧特性详细反应动力学模拟[J].兵工学报,2014,35(3):415-420.

DENG F, ZHANG X Y. Simulation of hydrogen-oxygen combustion of combustion light gas gun using detailed chemical kinetics model[J].Acta Armamentarii,2014,35(3):415-420. (in Chinese)

戴荣,栗保明.固体工质电热化学炮膛内两相流模型与计算[J].南京理工大学学报,2000,24(4):318-321,349.

DAI R,LI B M. Two-phase flow model and simulation of solid propellant electrothermal chemical gun[J]. Journal of Nanjing University of Science and Technology,2000,24(4):318-321, 349. (in Chinese)

梁雨霞,刘宁,於永硕,等.再生式液体发射药迫击炮点火过程建模与试验研究[J].火炮发射与控制学报,2024,45(4):82-88.

LIANG Y X,LIU N,YU Y S. Modeling and experimental study on the ignition process of regenerative liquid propellant mortar[J]. Journal of Gun Launch & Control, 2024, 45 (4): 82-88. (in Chinese)

丁彦超,王宝寿,吴文婷,等.水压驱动两级提拉式水下发射装置内弹道建模[J].兵工学报,2024,45(2):594-605.

DING Y C,WANG B S,WU W T,et al. Modeling of interior trajectory of water-driven underwater launch device with two-stage piston[J]. Acta Armamentarii,2024,45(2):594-605. (in Chinese)

SUMAN V K, SUNDARAM P, SENGUPTA S, et al. A new compact scheme-based Lax-Wendroff method for high fidelity simulations[J]. Computers & Fluids,2024,276:106262.

HU C B, ZHANG X B. Performance variation of a transient dynamic fluid-structure interaction system in different life stages and methods for maintaining the performance[J]. Applied Thermal Engineering,2018,130:1012-1021.

SUN Y J,ZHANG X B. Contributions of gray gases in SLW for non-gray radiation heat transfer and corresponding accuracies of FVM and P1 method[J]. International Journal of Heat and Mass Transfer,2018,121:819-831.

NGONDIEP E. A posteriori error estimate of MacCormack rapid solver method for two-dimensional incompressible Navier-Stokes problems[J]. Journal of Computational and Applied Mathematics, 2024,438:115569.

刘子豪,刘东尧.底火两相射流在传火管内传播过程的一维模型及数值模拟[J].弹道学报,2018,30(4):66-70.

LIU Z H, LIU D Y. One-dimensional model and numerical simulation of propagation process of two-phase primer jet-flow in ignition tube[J].Journal of Ballistics,2018,30(4):66-70. (in Chinese)

森思义,王浩,陶如意.基于CE/SE方法对模块装药点传火过程的数值模拟及特性研究[J].含能材料,2022,30(7):744-751.

SENG S Y, WANG H, TAO R Y. Numerical simulation and characteristics analysis on ignition and flame-propagation process of modular charge based on CE/SE method[J]. Chinese Journal of Energetic Materials,2022,30(7):744-751. (in Chinese)

冯渊,王育维,朱文芳,等.基于CE/SE方法的某大口径火炮模块装药内弹道数值模拟[J].火炮发射与控制学报,2023, 44(6):51-59.

FENG Y,WANG Y W, ZHU W,et al. Numerical simulation on interior ballistic of a large caliber cannon with modular propellant charge based on CE/SE method[J]. Journal of Gun Launch &Control,2023,44(6):51-59. (in Chinese)

白桥栋,翁春生.二维CE/SE方法在内弹道湍流两相流动中的应用[J].兵工学报,2009,30(6):682-687.

BAI Q D,WENG C S. The application of two-dimensional space-time conservation element and solution element method (CE/SE) to turbulent two-phase flow in interior ballistics[J]. Acta Armamentarii,2009,30(6):682-687. (in Chinese)

HU C B, ZHANG X B. A Godunov type method determining boundary conditions to predict the transient heat transfer in an expanding combustion chamber[J]. International journal of numerical methods for heat & fluid flow,2019,29(12):4925-4947.

ACHARYA R,KUO K. Implementation of approximate Riemann solver to two-phase flows in mortar systems[J]. Journal of Applied Mechanics,2010,77(5):51401.

CHENG S S,TAO R Y,LU X G,et al. Efficient two-dimension particle element method of interior ballistic two-phase flow[J]. Combustion Theory and Modelling,2023,27(4):558-583.

NUSSBAUM J, HELLUY P, HÉRARD J M, et al. Numerical simulations of gas-particle flows with combustion[J]. Flow, Turbulence and Combustion,2006,76(4):403-417.

WOODLEY C R,BILLETT S,LOWE C,et al. The FHIBS internal ballistics code[C]∥Proceedings of the 22nd International Symposium on Ballistics. Vancouver,Canada:TIB,2005:322-329.

GOLLAN R,JOHNSTON I,FLAHERTY B,et al. Development of casbar:a two-phase flow code for the interior ballistics problem[C]∥Proceedings of the 16th Australasian Fluid Mechanics Conference. Crown Plaza, Gold Coast, Australia: CORE, 2007:295-302.

XUE T,ZHANG X B,TAMMA K K. Generalized heat conduction model involving imperfect thermal contact surface:Application of the GSSSS-1 differential-algebraic equation time integration[J]. International Journal of Heat and Mass Transfer,2018,116:889-896.

XIAO Y T, DING S K, ZHANG X B. A fluid-solid-thermal coupling method to obtain thermal effects of three-phase reactive flow in a growing combustion chamber[J]. International Communications in Heat and Mass Transfer,2024,159(Part A):108031.

王克,张领科,王戴思源.基于火炮膛内气固两相流的热散失模型数值仿真[J].弹道学报,2023,35(1):69-76.

WANG K,ZHANG L K,WANG D S Y. Numerical simulation of heat loss model based on gas-solid two-phase flows in a gun bore[J].Journal of Ballistics,2023,35(1):69-76. (in Chinese)

王颖泽,张小兵.移动质量作用下膨胀波发射装置的振动响应分析[J].航空动力学报,2009,24(8):1714-1719.

WANG Y Z,ZHANG X B. Vibration analysis of rarefaction wave launch device in moving/mass[J].Journal of Aerospace Power, 2009,24(8):1714-1719. (in Chinese)

王颖泽,张小兵,袁亚雄.基于膨胀波新发射机理的身管振动响应分析[J].振动与冲击,2009,28(8):144-147,205.

WANG Y Z, ZHANG X B, YUAN Y X. Vibration response analysis of the barrel based on new launch mechanism of rarefaction wave[J]. Journal of Vibration and Shock,2009, 28(8):144-147,205. (in Chinese)

ZHANG S J, RUI X T, YU H L,et al. Study on the coupling calculation method for the launch dynamics of a self-propelled artillery multibody system considering engraving process[J]. Defence Technology,2024,39:67-85.

包光辉,王国平,黎超,等.考虑火炮身管后坐的内弹道两相流数值仿真方法[J].兵工自动化,2020,39(12):80-85.

BAO G H,WANG G P,LI C,et al. Numerical simulation method of two-phase flow in interior ballistics considering recoil of artillery barrel[J]. Ordnance Industry Automation, 2020, 39(12):80-85. (in Chinese)

SHANMUGAMANI R, SADIQUE M, RAMAMOORTHY B. Detection and classification of surface defects of gun barrels using computer vision and machine learning[J]. Measurement, 2015,60:222-230.

MOOKIAH M R K, PUCH-SOLIS R, NIC DAEID N. Identification of bullets fired from air guns using machine and deep learning methods[J]. Forensic Science International, 2023,349:111734.

JAYASINGHE S C, MAHMOODIAN M, ALAVI A, et al. A review on the applications of artificial neural network techniques for accelerating finite element analysis in the civil engineering domain[J]. Computers & Structures,2025,310:107698.

LAN Z, FENG Y, LIU Y. Study of rectangular fin heat sink performance and prediction based on artificial neural network[J]. Case Studies in Thermal Engineering. 2024,64:105569.

MAGGIONI F,SPINELLI A. A novel robust optimization model for nonlinear Support Vector Machine[J]. European Journal of Operational Research. 2025,322(1):237-253.

SHI F, LIAO H, WANG S, et al. Optimization of drilling rate based on genetic algorithms and machine learning models[J]. Geo-energy Science and Engineering. 2025,247:213747.

张宁,史金光,王中原,等.基于支持向量回归模型的弹用冲压发动机性能预测及优化[J].兵工学报,2023,44(10):2944-2953.

ZHANG N,SHI J G,WANG Z Y,et al. Performance prediction and optimization of ramjet for projectiles using support vector regression model[J].Acta Armamentarii,2023,44(10):2944-2953. (in Chinese)

徐虎,冯金富.基于遗传算法的零维内弹道模型最大膛压的计算[J].航空计算技术,2006,(2):132-134.

XU H, FENG J F. Determination of internal ballistics zero-dimension model maxi-pressure point based on genetic algorithm[J].Aeronautical Computing Technique,2006,(2):132-134. (in Chinese)

梁光建,阎文,张磊,等.基于BP神经网络的内弹道主要诸元预测[J].四川兵工学报,2009,30(2):29-31.

LIANG G J, YAN W, ZHANG L, et al. Prediction of main interior ballistic parameters based on BP neural network[J]. Journal of Ordnance Equipment Engineering,2009,30(2):29-31. (in Chinese)

孔国杰,张培林,徐龙堂,等.一种新的火炮初速下降量预测模型[J].弹道学报,2009,21(3):65-68.

KONG G J,ZHANG P L,XU L T. A new prediction model of decreasing quantity of gun muzzle velocity[J]. Journal of Ballistics,2009,21(3):65-68. (in Chinese)

张小兵,袁亚雄,任如海,等.随机因素对火药激光点火过程影响的研究[J].兵工学报,2003,24(1):34-37.

ZHANG X B,YUAN Y X,REN R H, et al. Effects of random factors on the processes of laser ignition of propellants[J]. Acta Armamentarii,2003,24(1):34-37. (in Chinese)

陈丽艳,杨帆,王端.电磁轨道炮内弹道模拟及初速误差分析[J].火炮发射与控制学报,2018,39(3):17-21,26.

CHEN L Y, YANG F, WANG D. Research on the launching process of railgun in bore and error of muzzle velocity[J]. Journal of Gun Launch & Control,2018,39(3):17-21,26. (in Chinese)

林庆华,栗保明.高装填密度钝感发射装药的内弹道遗传算法优化[J].弹道学报,2008,(3):29-32.

LIN Q H, LI B M. Genetic algorithm optimization of interior ballistic design using high load density propellant[J]. Journal of Ballistics,2008,(3):29-32. (in Chinese)

肖剑,王雨时,张志彪.基于Pareto遗传算法的无后坐炮内弹道多目标优化设计[J].弹道学报,2019,31(3):53-57.

XIAO J,WANG Y S,ZHANG Z B. Multi-objective optimization design for interior ballistics of recoilless rifle based on pareto genetic algorithm[J]. Journal of Ballistics,2019,31(3):53-57. (in Chinese)

DUAN X C, ZHANG X B. A hybrid genetic-particle swarm optimizer using precise mutation strategy for computationally expensive problems[J]. Apply Intelligence 2022, 52: 8510-8533.

方峻,李林林,徐诚.基于神经网络和遗传算法的身管多目标优化[J].机械设计与制造,2013,(8):110-112,116.

FANG J, LI L L, XU C, et al. Multi-objective optimization of barrel based on neural networks and genetic algorithms[J]. Machinery Design & Manufacture,2013,(8):110-112,116. (in Chinese)

王渤,罗懿,薛涛,等.基于DENN的NSGA-Ⅱ算法的串联多药室火炮内弹道性能优化[J].弹道学报,2023,35(2):20-27.

WANG B,LUO Y,XUE T,et al. Optimization of interior ballistic performance of series multi-chamber gun via DENN-based NSGA-Ⅱ algorithm[J].Journal of Ballistics,2023,35(2):20-27. (in Chinese)

曹润铎.某小型机载制导弹药弹道优化设计及发射过程研究[D].南京：南京理工大学,2019.

CAO R D. Research on trajectory optimization design and launch process of a small airborne guided ammunition[D]. Nanjing:Nanjing University of Science and Technology, 2019. (in Chinese)

赵博文,余永刚,潘玉竹.随行装药退火算法的优化设计及数值模拟[J].火炸药学报,2010,33(5):75-78.

ZHAO B W, YU Y G, PAN Y Z. Numerical simulation and optimization design on annealing algorithm of traveling charge[J].Chinese Journal of Explosives & Propellants,2010,33(5):75-78. (in Chinese)

ZHANG B, WANG G, ZHAO X. Internal ballistic optimization design based on improved particle swarm optimization Title[C]∥Proceedings of the 2nd International Conference on Mechanical System Dynamics. Singapore:SNSPL,2024:2175-2183.

曹林,孟吉红,范匆,等.基于混合粒子群优化算法的火箭弹内弹道优化设计[J].弹道学报,2021,33(3):57-62.

CAO L,MENG J H,FAN C,et al. Interior ballistic optimization for uncontrolled rocket projectile based on hybrid particle swarm optimization algorithm[J]. Journal of Ballistics,2021,33(3):57-62. (in Chinese)

何新佳,马中亮,代淑兰.人工鱼群算法在高射炮内弹道性能优化中的应用[J].火力与指挥控制,2022,47(2):152-156,161.

HE X J,MA Z L,DAI S L. Application of artificial fish swarm algorithm in optimization of anti-aircraft gun interior ballistic performance[J]. Fire Control & Command Control,2022, 47(2):152-156,161. (in Chinese)

CHEN Z, MA H, XU Q, et al. Numerical simulation and optimized design of a launching system with a novel charge structure[J]. Propellants, Explosives, Pyrotechnics. 2024, 49(8):202300326.

WANG Y, MA Y, WANG R, et al. Design optimization and simulation of interior ballistic measurement technology based on parameters of large-caliber launch fuel[J]. Measurement. 2022, 189:110479.

贾轩,吴一帆,段浩,等.基于NSGA-II算法的燃气弹射内弹道参数优化建模[J].水下无人系统学报,2022,30(2):216-222.

JIA X,WU Y F,DUAN H,et al. Optimization modeling of gas catapult interior ballistic parameters based on NSGA-Ⅱalgorithm[J]. Journal of Unmanned Undersea Systems,2022, 30(2):216-222. (in Chinese)

刘林,樊成军,胡敬坤,等.混合装药内弹道仿真及多参数符合计算[J].火炮发射与控制学报,2014(1):48-51.

LIU L, FAN C J, HU J K, et al. Simulation and research on multi-parameter according calculation of mixed-charge interior ballistics[J]. Fire Control & Command Control,2014(1):48-51. (in Chinese)

张晓东,傅建平,张培林.基于改进遗传算法的内弹道多参数符合计算[J].弹道学报,2006,18(4):41-44.

ZHANG X D, FU J P, ZHANG P L. Research on multi-parameter according calculation of interior trajectory based on improved generic algorithm[J]. Journal of Ballistics, 2006, 18(4):41-44. (in Chinese)

贺磊,姚养无,李树军,等.基于改进粒子群算法的火炮内弹道多参数符合计算[J].火力与指挥控制,2021,46(11):165-169.

HE L, YAO Y W, LI S J, et al. Multi parameter coincidence calculation of gun interior ballistics based on improved particle swarm optimization algorithm[J]. Fire Control & Command Control,2021,46(11):165-169. (in Chinese)

张小兵,李湉湉.数据驱动在内弹道中的应用与展望[J].弹道学报,2025,37(1):1-8.

ZHANG X B,LI T T. Applications and prospects of data-driven methods in internal ballistics[J]. Journal of Ballistics,2025, 37(1):1-8. (in Chinese)

ZHANG X B, LI J F. Advancements and challenges of high-speed active flow control: plasma actuators[J]. International Journal of Heat and Mass Transfer,2025,252:127481.

ZHANG X B, WANG Z K. Thermal protection and drag reduction induced by flow control devices in supersonic/hypersonic flows:a review[J]. Progress in Aerospace Sciences, 2025,155:101093.

Views

1265

下载量

CNKI被引量

Alert me when the article has been cited

提交

Tools

Publicity Resources

Research and Experimental Validation of Precise Interior Ballistic Modeling for Hydrogen Gun-launched Unmanned Aerial Vehicles

Dynamic-effect-based Hydraulic Resistance Model and Validation for Recoil Brake

An Ranging Airburst Correction Algorithm Based on Equivalent Lead

Overall Design and Adaptability Evaluation of Modular Firepower System for Multi-platform Universal Artillery

Study on Damage Response of Heterogeneous Structure to 12.7mm Armor Piercing Incendiary

Related Author

ZHANG Xiaobing

XIAO Yutang

ZHANG Wei

JIA Qiang

LU Jiongbiao

REN Jie

SUN Kunpeng

XU Yadong

Related Institution

Hubei Sanjiang Aerospace Jianghe Chemical Technology Co.，Ltd.

Northwest Institute of Mechanical and Electrical Engineering

School of Mechanical Engineering，Nanjing University of Science and Technology

School of Mechanical Engineering, Nanjing University of Science and Technology

Postal code：100089
Tel：010-68963060/68962718 Fax：010-68963025 Email：bgxb@cos.org.cn
Technical support is provided by Beijing Founder electronics co., LTD 京ICP备05059581号-4 京公网安备11010802024360号
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.
Total Visits：198925 Visits Today：644 Online Users：9

⁰