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将一种常用的吸收边界条件─多次透射公式合并于紧接人工边界的内节点控制方程给出了该公式的一个新的实现方案.该方案较之原实现方案不仅收缩了计算区、改进了边界的模拟精度,而且揭示了该公式截断误差的阶数与大区域数值解之间的关系,阐明了提高吸收边界的精度阶对改进波动数值模拟精度的局限性.通过数值试验比较了新方案、原方案及Givoli-Neta吸收边界条件的在人工边界上的精度,结果表明前者优于后二者.
A new implementation of this formula is given by combining a commonly used absorption boundary condition - multiple transmission formula with the inner node control equation immediately following the artificial boundary. This solution not only shrinks the calculation area compared with the original implementation, but also improves The relationship between the order of truncation error and the numerical solution of large area is revealed and the limitation of improving the precision of numerical simulation of the fluctuation of absorption boundary is clarified.The numerical experiment is conducted to compare the accuracy of the numerical simulation with the new one The accuracy of the scheme, the original scheme and the Givoli-Neta absorption boundary conditions on the artificial boundary show that the former is superior to the latter.