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廖氏吸收边界条件具有吸收效果好、编程易实现、无需分裂场量的优点,但其数值计算稳定性不佳,无法运用到需要进行长时间迭代的数值计算中去,这极大地限制了其运用范围。文章针对廖氏吸收边界条件数值计算稳定性问题,提出了一种基于加权思想的改进其稳定性的方法,这种方法和以往方法相比,实现起来非常简单,在保证廖氏吸收边界条件良好吸收效果的同时,改善了其稳定性,扩展了高阶廖氏吸收边界条件的运用范围。
Liao’s absorption boundary conditions have the advantages of good absorption effect, easy programming and no need to split the field, but their numerical stability is poor and can not be applied to the numerical calculation which needs to be iterated for a long time, which greatly limits its absorption boundary conditions Use range. Aiming at the numerical stability problem of Liao’s absorption boundary condition, this paper presents a method based on weighting idea to improve its stability. Compared with the previous method, this method is very simple to implement. Under the condition of ensuring the Liao’s absorption boundary condition Absorption effect at the same time, improve its stability, expanding the scope of the application of high-order Liao’s absorption boundary conditions.