现代应用物理
現代應用物理
현대응용물리
Modern Applie Physics
2014年
3期
218-222,232
,共6页
杨静%邱孟通%程引会%孙蓓云%聂鑫%朱志臻
楊靜%邱孟通%程引會%孫蓓雲%聶鑫%硃誌臻
양정%구맹통%정인회%손배운%섭흠%주지진
时域积分方程%时间步进法%二叉树
時域積分方程%時間步進法%二扠樹
시역적분방정%시간보진법%이차수
time domain integral equations%Marching-on-in-Time method%binary tree
采用时间步进法求解时域电场积分方程时,若时间维度上采用不等长网格进行剖分,能减少未知量个数,但将造成插值无法进行。为解决这一问题,利用满二叉树的中序遍历对求解的时间与空间顺序进行重排,形成了不等长时间步步进法。用该方法对线天线及锥板型电磁脉冲模拟器天线的电流进行了计算,将计算结果与用均匀时间网格模型及成熟软件 CST 计算所得结果进行了对比,三种方法的计算结果一致,证明了该方法的可行性。该方法对锥板型模拟器天线算例的计算时间仅为均匀时间步步进法的41.16%,说明该方法提高了计算效率。最后,给出了该方法与均匀时间步步进法在求解时未知量个数的比值,证明了当空间网格不均匀时,该方法能有效地节约计算量。
採用時間步進法求解時域電場積分方程時,若時間維度上採用不等長網格進行剖分,能減少未知量箇數,但將造成插值無法進行。為解決這一問題,利用滿二扠樹的中序遍歷對求解的時間與空間順序進行重排,形成瞭不等長時間步步進法。用該方法對線天線及錐闆型電磁脈遲模擬器天線的電流進行瞭計算,將計算結果與用均勻時間網格模型及成熟軟件 CST 計算所得結果進行瞭對比,三種方法的計算結果一緻,證明瞭該方法的可行性。該方法對錐闆型模擬器天線算例的計算時間僅為均勻時間步步進法的41.16%,說明該方法提高瞭計算效率。最後,給齣瞭該方法與均勻時間步步進法在求解時未知量箇數的比值,證明瞭噹空間網格不均勻時,該方法能有效地節約計算量。
채용시간보진법구해시역전장적분방정시,약시간유도상채용불등장망격진행부분,능감소미지량개수,단장조성삽치무법진행。위해결저일문제,이용만이차수적중서편력대구해적시간여공간순서진행중배,형성료불등장시간보보진법。용해방법대선천선급추판형전자맥충모의기천선적전류진행료계산,장계산결과여용균균시간망격모형급성숙연건 CST 계산소득결과진행료대비,삼충방법적계산결과일치,증명료해방법적가행성。해방법대추판형모의기천선산례적계산시간부위균균시간보보진법적41.16%,설명해방법제고료계산효솔。최후,급출료해방법여균균시간보보진법재구해시미지량개수적비치,증명료당공간망격불균균시,해방법능유효지절약계산량。
When using Marching-on-in-Time(MOT) method to solve time domain electric field integral equations,if the time axis of the model is divided by varying steps,the number of the cells needed for calculation will be reduced,but the interpolation will be impossible. To solve this problem,we use inorder traversal of the full binary tree to re-arrange the calcu-lation sequence of time and space,thus fulfill the interpolation.The currents of the linear antenna and the conical-plate electromagnetic pulse simulator are calculated using this Marc-hing-on-in-Time-varying step method.The results are in accordance with those obtained by the MOT method with uniform time steps and the simulation results by the well-known soft-ware CST,but time-consuming is only 41.16% of that by the MOT method with uniform time steps for the current calculation of the conical-plate electromagnetic pulse simulator.At last,the ratio of the number of unknowns in our method to that in the MOT method with u-niform time steps is given out to show our method will save computational cost.