单炮多发同时弹着的局部插值算法与并行加速
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摘要
为提高单炮多发同时弹着的弹道计算精度,基于标准条件下二维质点弹道方程和真空二维弹道斜射程公式,提出了一种局部插值算法。通过缩小插值区间加密插值序列提高弹道计算精度,研究了该局部插值算法的MPI并行实现方法,该方法可有效减少弹道计算消耗的时间,保证计算耗时满足战场要求。给出了并行计算的任务分配方案和并行效率的计算。并行效率与计算核心数量的关系表明弹道计算机的CPU核心数存在一个上限。以5~15km射程的同时弹着弹道计算为例,验证了该文算法的有效性和高效性。
In order to improve the computation accuracy of the ballistics for multiple-round simultaneous-impact(MRSI)of single artillery,the local interpolation algorithm(LIA)was proposed based on 2D particle trajectory equation under standard conditions and vacuum 2D trajectory oblique-range formula.It can obviously improve the accuracy to reduce the interpolation interval and increase interpolation sequence.The MPI based parallel computation technique was used in the local interpolation algorithm.The method can effectively reduce the computation time and ensure the computation time satisfy battlefield requirements.The task allocation scheme in the parallel computation was given,and the parellel efficiency was computed.Relationship between this parallel computation efficiency and the number of CPU cores used shows that there is an upper limit on number of CPU cores of ballistic computer.The MRSI computation task was carried out with range between 5 km to 15 km to verify the validity and efficiency of the algorithm.
In order to improve the computation accuracy of the ballistics for multiple-round simultaneous-impact(MRSI)of single artillery,the local interpolation algorithm(LIA)was proposed based on 2D particle trajectory equation under standard conditions and vacuum 2D trajectory oblique-range formula.It can obviously improve the accuracy to reduce the interpolation interval and increase interpolation sequence.The MPI based parallel computation technique was used in the local interpolation algorithm.The method can effectively reduce the computation time and ensure the computation time satisfy battlefield requirements.The task allocation scheme in the parallel computation was given,and the parellel efficiency was computed.Relationship between this parallel computation efficiency and the number of CPU cores used shows that there is an upper limit on number of CPU cores of ballistic computer.The MRSI computation task was carried out with range between 5 km to 15 km to verify the validity and efficiency of the algorithm.
引文
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[20]龚春叶,包为民,汤国建,等.航天领域高性能并行计算研究进展[J].计算机工程与科学,2014,36(9):1629-1636.GONG Chunye,BAO Weimin,TANG Jianguo,et al.Recent progress in high-performance parallel computing of the aerospace aera[J].Computer Engineering&Science,2014,36(9):1629-1636.(in Chinese)
[21]张武生,薛巍,李建江,等.MPI并行程序设计实例教程[M].北京:清华大学出版社,2009:152-157.ZHANG Wusheng,XUE Wei,LI Jianjiang,et al.Examples of MPI parallel programming[M].Beijing:Tsinghua University Press,2009:152-157.(in Chinese)
[22]OUYANG A,TANG Z,ZHOU X,et al.Parallel hybrid PSO with CUDA for lD heat conduction equation[J].Computers&Fluids,2015,110:198-210.
[23]PICKERING B P,JACKSON C W,SCOGLAND T R W,et al.Directive-based GPU programming for computational fluid dynamics[J].Computers&Fluids,2015,114:242-253.
[24]LOBEIRAS J,AMOR M,DOALLO R.BPLG:a tuned butterfly processing library for GPU architectures[J].International Journal of Parallel Programming,2015,43(6):1078-1102.
[25]克里斯托弗·福斯,库宗波.智能弹药:野战炮兵精确制导弹药[J].国外坦克,2016(10):20-26,31.FUSS C,KU Zongbo.Intelligent munition:precision-guided munitions of field artillery[J].Foreign Tanks,2016(10):20-26,31.(in Chinese)
[2]陆欣,周彦煌.单炮多发同时弹着的数学模型和数值分析[J].火炮发射与控制学报,2001(3):5-6,27.LU Xin,ZHOU Yanhuang.Mathematic model and numerical simulation of single gun multiple round time-on-target technology[J].Gun Launch&Control Journal,2001(3):5-6,27.(in Chinese)
[3]KOGLER T M.Single gun,multiple round,time-on-target capability for advanced towed cannon artillery[R].Maryland:Army Research Lab Aberdeen Proving Ground,1995.
[4]谢黎焱,廖瑞,王雪琴.信息化条件下单炮多发同时弹着研究[J].指挥控制与仿真,2009,31(4):30-32,36.XIE Liyan,LIAO Rui,WANG Xueqin.Study on single cannon multiple round time-on-target under informationizated condition[J].Command Control&Simulation,2009,31(4):30-32,36.(in Chinese)
[5]祝军利,高效生,侯晓峰.自行加榴炮多发同时弹着技术[J].火炮发射与控制学报,2005(1):6-8.ZHU Junli,GAO Xiaosheng,HOU Xiaofeng.Technique of MRSI of self-propelled cannon/howitzer[J].Gun Launch&Control Journal,2005(1):6-8.(in Chinese)
[6]李开龙,石章松,龚驰,等.大口径舰炮多发同时弹着射击效力分析[J].舰船电子工程,2011,31(9):31-33,42.LI Kailong,SHI Zhangsong,GONG Chi,et al.Analysis of time-ontarget fire effectiveness of large caliber naval gun[J].Ship Electronic Engineering,2011,31(9):31-33,42.(in Chinese)
[7]程恭,石章松,王航宇.基于瞄准点排布模型的多发同时弹着射击诸元解算[J].舰船电子工程,2011,31(11):29-32,42.CHENG gong,SHI Zhangsong,WANG Hangyu.Firing data solutions for multiple rounds simultaneous impact based on aiming point distribution model[J].Ship Electronic Engineering,2011,31(11):31-33,42.(in Chinese)
[8]黄义,汪德虎,汪汇川,等.舰炮发射一维修正弹多发同时弹着研究[J].弹箭与制导学报,2012,32(5):127-129.HUANG Yi,WANG Dehu,WANG Huichuan,et al.The research on MRSI of one-dimensional trajectory correction projectile fired by shipborne gun[J].Journal of Projectiles,Rockets,Missiles and Guidance,2012,32(5):127-129.(in Chinese)
[9]刘剑威,王海川.增程修正弹单炮多发同时弹着火控技术研究[J].指挥控制与仿真,2012,43(1):70-72,77.LIU Jianwei,WANG Haichuan.Research on method of multiple rounds simultaneous impact of extended range and trajectory correction projectile[J].Command Control&Simulation,2012,43(1):70-72,77.(in Chinese)
[10]石章松,傅冰,胡献君,等.基于增程修正弹的同时弹着火控机理[J].海军工程大学学报,2013,25(3):7-12.SHI Zhangsong,FU Bing,HU Xianjun,et al.Time-on-target fire control mechanism based on extended-range trajectory correction projectile[J].Journal of Naval University of Engineering,2013,25(3):7-12.(in Chinese)
[11]孟灿,毛征,孟博,等.弹丸飞行时间与射击诸元关系分析[J].兵工自动化,2016,35(11):24-27.MENG Can,MAO Zheng,MENG Bo,et al.Analysis on relation of projectile flight time and firing data[J].Ordnance Industry Automation,2016,35(11):24-27.(in Chinese)
[12]LIESKE R F,REITER M L.Equations of motion for a modified point mass trajectory[R].Maryland:Army Ballistic Research Lab Aberdeen Proving Ground,1966.
[13]韩子鹏.弹箭外弹道学[M].北京:北京理工大学出版社,2008:72-77.HAN Zipeng.Exterior ballistics of rockets and missiles[M].Beijing:Beijing Institute of Technology Press,2008:72-77.(in Chinese)
[14]钱明伟,王良明,郭锡福.火炮武器高原射击时的弹道特性研究[J].弹道学报,2009,21(4):21-25.QIAN Mingwei,WANG Liangming,GUO Xifu.Ballistic analysis for artillery systems firing on plateau[J].Journal of Ballistics,2009,21(4):21-25.(in Chinese)
[15]李臣明,舒敬荣.高空远程弹箭精确弹道模型[J].弹道学报,2008,20(4):8-11.LI Chenming,SHU Jingrong.Precise exterior ballistic model for long-range missile versus high altitude[J].Journal of Ballistics,2008,20(4):8-11.(in Chinese)
[16]朱文芳,王育维,郭映华,等某火炮身管温度仿真计算及其影响因素分析[J].火炮发射与控制学报,2016,37(4):58-62.ZHU Wenfang,WANG Yuwei,GUO Yinghua,et al.Temperature simulation calculation and analysis of influential factors of a certain gun barrel[J].Journal of Launch&Control,2016,37(4):58-62.(in Chinese)
[17]王志军,尹建平.弹药学[M].北京:北京理工大学出版社,2005:106-116.WANG Zhijun,YIN Jianping.Ammunition[M].Beijing:Beijing Institute of Technology Press,2005:106-116.(in Chinese)
[18]武瑞文,王兆胜.自行火炮武器系统射击精度研究[J].兵工学报,2004,25(4):407-409.WU Ruiwen,WANG Zhaosheng.A study on the firing accuracy of self-propelled artillery systems[J].Acta Armamentarii,2004,25(4):407-409.(in Chinese)
[19]BURDEN R L,FAIRES J D.Numerical analysis[M].Boston,Massachusetts:Brooks/Cole,2011:282-291.
[20]龚春叶,包为民,汤国建,等.航天领域高性能并行计算研究进展[J].计算机工程与科学,2014,36(9):1629-1636.GONG Chunye,BAO Weimin,TANG Jianguo,et al.Recent progress in high-performance parallel computing of the aerospace aera[J].Computer Engineering&Science,2014,36(9):1629-1636.(in Chinese)
[21]张武生,薛巍,李建江,等.MPI并行程序设计实例教程[M].北京:清华大学出版社,2009:152-157.ZHANG Wusheng,XUE Wei,LI Jianjiang,et al.Examples of MPI parallel programming[M].Beijing:Tsinghua University Press,2009:152-157.(in Chinese)
[22]OUYANG A,TANG Z,ZHOU X,et al.Parallel hybrid PSO with CUDA for lD heat conduction equation[J].Computers&Fluids,2015,110:198-210.
[23]PICKERING B P,JACKSON C W,SCOGLAND T R W,et al.Directive-based GPU programming for computational fluid dynamics[J].Computers&Fluids,2015,114:242-253.
[24]LOBEIRAS J,AMOR M,DOALLO R.BPLG:a tuned butterfly processing library for GPU architectures[J].International Journal of Parallel Programming,2015,43(6):1078-1102.
[25]克里斯托弗·福斯,库宗波.智能弹药:野战炮兵精确制导弹药[J].国外坦克,2016(10):20-26,31.FUSS C,KU Zongbo.Intelligent munition:precision-guided munitions of field artillery[J].Foreign Tanks,2016(10):20-26,31.(in Chinese)