【作者】 陈志朋； 李林青； 牛凯坤； 黄志祥； 吴先良；

【Author】 Zhipeng Chen;Linqing Li;Kaikun Niu;Zhixiang Huang;Xianliang Wu;State Key Laboratory of Opto Electronic Information Acquisition and Protection Technology,Anhui University;

【机构】 安徽大学光电信息获取与防护技术全国重点实验室安徽大学；

【摘要】 本文将多辛Preissmann格式通过局部一维分裂(LOD)方法进行拆分,并应用于电磁场的实际工程问题。已有大量研究表明,多辛算法在麦克斯韦方程组的数值求解中具有结构保持、能量守恒等优势。作为一种经典的结构保持格式,Preissmann方法在时空方向上均采用前向差分离散方式。本文将该格式引入电磁场仿真中,通过数值算例与传统的时域有限差分法(FDTD)进行对比,验证了多步Preissmann格式在稳定性、精度及结构保持方面的有效性和应用潜力。更多还原

【Abstract】 In this work,the multisymplectic Preissmann scheme is decomposed using the locally one-dimensional(LOD) method and applied to practical electromagnetic field problems.Extensive studies have demonstrated the advantages of multisymplectic algorithms in solving Maxwell’s equations,particularly in preserving structural properties and ensuring energy conservation.As a classical structure-preserving method,the Preissmann scheme employs forward differences in both space and time dimensions.By introducing this scheme into electromagnetic simulations and comparing it with the conventional finite-difference time-domain(FDTD) method,numerical results confirm the effectiveness of the multi-step Preissmann approach in terms of stability,accuracy,and structure preservation.更多还原