周期对称结构R-FDTD方法及其减元优化

论述减缩时域有限差分方法(R-FDTD)中暂存场分量边值补充计算的必要性,提出周期对称结构R-FDTD方法,基于对称关系和周期边界条件(PBC),给出需要补充计算的暂存分量表达式.利用对称性,将计算空间缩减为原来的1/4,对称面外侧场分量由对称关系得到,1/4空间周期对称结构R-FDTD可更进一步将计算区域的内存使用量降为FDTD算法的1/6,且不影响计算精度.计算无限大钢筋网和钢筋混凝土墙壁的电磁脉冲响应,结果与FDTD的计算结果吻合.改进的算法在内存使用和计算时间上具有明显的优势.

Periodic Symmetric R-FDTD Method and Reducing Optimization

Necessity for calculating boundary temporary field components in reduced finite-difference time-domain method(R-FDTD) is discussed.A periodic symmetric R-FDTD method is proposed.Temporary components in supplement calculation are given based on symmetry and periodic boundary conditions(PBC).Computational domain is reduced to 1/4 and lateral field components of a symmetry plane are obtained with symmetry relations.Compared with original FDTD,memory storage is reduced to 1/6 while ensuring accuracy. It is shown that the improved algorithm agrees with FDTD method by numerical simulation of EM impulse responses tO infinity wire mesh reinforcement and reinforced concrete layer.The improved algorithm has advantages in saving memory storage and calculation time.