互补共形匹配层研究

Study of Complementary Conformal Perfectly Matched Layers

在运用数值方法求解开域散射问题时,需采用虚拟边界截断分析区域,这不可避免会造成人工反射。比较已存在的吸收边界条件,介绍了一种新型的吸收边界条件。这种方法基于特性互补的两种边界。分别求解两种边界条件下的解然后取平均,可以完全消除人工边界的一次反射。数值结果表明与其它广泛使用的边界条件相比这种方法可以显著减小由反射造成的误差。

A boundary operation is developed to minimize the artificial reflections that arise when truncating the computational domain of an open region scattering or radiation problem. The method is based on the use of two boundary operators that are complementary in character. By solving the problem with each of the two operators and then averaging the two solutions, the first-order reflections that arise from the artificial boundary can be completely eliminated. Numerical results are presented to show that this new technique gives significant reduction in the error.