摘要
证明了即使在无源区域,局部一维时域有限差分法(LOD-FDTD)所给出的电磁场量也不满足零散度关系,推导了该散度关系的具体表达式。基于该非零散度关系和麦克斯韦旋度方程,将LOD-FDTD法与减缩时域有限差分法(R-FDTD)相结合,得到一种新的局部一维减缩时域有限差分法(LOD-R-FDTD)。该方法不仅具有LOD-FDTD方法的优势,计算公式简单,消除了CFL稳定条件对时间步长的限制,而且与LOD-FDTD相比平均节约了1/3内存使用量。通过仿真计算与其他方法对比,证明了LOD-R-FDTD方法的准确性和有效性。
In this paper, it is proven that the divergence relationship of electric-field and magnetic-field is non-zero even in charge-free regions when the electric-field and magnetic-field are calculated with locally one-dimensional finite-difference time-domain（LOD-FDTD） method, and the concrete expression of the divergence relationship is derived. Based on the non-zero divergence relationship and Maxwell curl e- quations set, the LOD-FDTD method which is unconditionally stable is combined with the reduced finite-difference time-dornain（R-FDTD）method. In the LOD-R- FDTD method, the advantage of LOD-FDTD is combined, which having simpler formulation to eliminate the restraint of the courant-friedrich-levy（CFL）condition. The memory requirement of LOD-R FDTD is reduced by 1/3 compared with LODFDTD in average. The formulation is presented and the accuracy and efficiency of the proposed method is verified by comparing the results with the conventional results.
出处
《电波科学学报》
EI
CSCD
北大核心
2011年第4期814-819,共6页
Chinese Journal of Radio Science
基金
国家自然科学基金资助项目(No.10372038)
