火炮发射与控制学报
火砲髮射與控製學報
화포발사여공제학보
GUNLAUNCH & CONTROL JOURNAL
2014年
3期
1-5
,共5页
杨玉东%付成芳%薛文%赵环宇
楊玉東%付成芳%薛文%趙環宇
양옥동%부성방%설문%조배우
电磁发射%电磁方程%算子分裂格式%速度趋肤效应
電磁髮射%電磁方程%算子分裂格式%速度趨膚效應
전자발사%전자방정%산자분렬격식%속도추부효응
electromagnetic emission%electromagnetic equation%operator splitting scheme%velocity skin effect
为探讨电磁发射过程中轨道和电枢间电流分布情况,根据 Maxwell 方程推导出电磁场参数与速度之间的关系,建立了直角坐标系下的电磁场对流扩散方程,采用算子分裂格式对对流扩散方程中对流项和扩散项进行分解,分别对抛物型和双曲型方程采用有限差分法进行求解。计算过程表明算子分裂格式能有效求解电磁场对流扩散方程,算法稳定,收敛性好。结合实例的计算结果显示,当电枢高速运动时,在轨道和电枢局部区域的电流密度极大,容易造成轨道材料的烧蚀。
為探討電磁髮射過程中軌道和電樞間電流分佈情況,根據 Maxwell 方程推導齣電磁場參數與速度之間的關繫,建立瞭直角坐標繫下的電磁場對流擴散方程,採用算子分裂格式對對流擴散方程中對流項和擴散項進行分解,分彆對拋物型和雙麯型方程採用有限差分法進行求解。計算過程錶明算子分裂格式能有效求解電磁場對流擴散方程,算法穩定,收斂性好。結閤實例的計算結果顯示,噹電樞高速運動時,在軌道和電樞跼部區域的電流密度極大,容易造成軌道材料的燒蝕。
위탐토전자발사과정중궤도화전추간전류분포정황,근거 Maxwell 방정추도출전자장삼수여속도지간적관계,건립료직각좌표계하적전자장대류확산방정,채용산자분렬격식대대류확산방정중대류항화확산항진행분해,분별대포물형화쌍곡형방정채용유한차분법진행구해。계산과정표명산자분렬격식능유효구해전자장대류확산방정,산법은정,수렴성호。결합실례적계산결과현시,당전추고속운동시,재궤도화전추국부구역적전류밀도겁대,용역조성궤도재료적소식。
To research the situation of current density distribution between the rail and the ar-mature during the process of electromagnetic emission,the relationships between the electro-magnetic parameters and armature moving velocity were derived by use of Maxwell electromag-netic theory.The convection diffusion equations for electromagnetic field in Cartesian coordi-nate system were set up.The convection and diffusion terms in convection diffusion equation were decomposed by means of the operator splitting scheme,and the parabolic and hyperbolic equations were all solved by use of the finite difference method.Calculations showed that the operator splitting scheme can effectively solve the electromagnetic convection-diffusion equa-tion,and this method is stable and convergent.The calculation results with the examples showed that when the armature moves at high velocity,the current density between the local area of armature and the rail is the maximum and it is easy to give rise to the erosion in local re-al rail material.