高阶复合完全匹配层的应用研究

研究了应用于时域算法的一种高阶完全匹配层(Perfectly Matched Layer,PML)方法,并提出了一种复合PML研究方法。在高阶PML原理的基础上,给出了复合PML的研究思路,及其应用于显式时域有限差分方法的过程。采用高阶PML和复合PML计算了波导的反射系数,结果表明有限元计算的结果是准确而稳定的。对比计算结果,可以看出与普通PML相比,高阶PML和复合PML对隐失波和各个频段的传输波都能起到良好的吸收效果,为有限元算法的广泛应用奠定了良好的基础。

Application of High-order Composite Perfectly Matched Layer

A high-order Perfectly Matched Layer (PML) applied to time domain finite element method (TDFEM) is obtained by proper selection of the parameter of PML. Furthermore, a composite PML composed of UPML and SCPML is derived, and the application of it to explicit TDFEM is investigated. The reflection coefficient of waveguide is calculated using the high-order PML and composite PML, the result shows that the finite element calculation result is accurate and stable. Compared with the ordinary PML, the numerical results show that the high-order PML and composite PML are highly effective in absorbing both evanescent and low-frequency waves, which will lay the good foundation for the widespread use of TDFEM.