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基于Z变换建立了透射边界条件的统一理论 .在该统一理论框架下 ,简单选取一些参数就可导出Mur吸收条件和Liao透射边界条件等 ,且可推出一些新的有效的透射边界条件 .基于vonNeumann方法论证了各种透射边界条件的稳定性 .数值分析结果验证了结论的正确性及各种透射条件的吸收效果 .
Based on the Z transform, a unified theory of the transmission boundary conditions is established. Under the unified framework of the theory, some absorption parameters such as Mur absorption condition and Liao transmission boundary condition can be deduced by simply choosing some parameters, and some new effective transmission boundary conditions can be deduced.Based on von Neumann The method proves the stability of various transmission boundary conditions.The numerical results verify the correctness of the conclusion and the absorption effect of various transmission conditions.