Extrapolation non-reflecting boundary conditions
Extrapolation non-reflecting boundary conditions
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DOI：
10.1016/0165-2125(96)00010-8
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发表时间：
1996-09-01
期刊：
影响因子：
2.4
通讯作者：
Liao, ZP
中科院分区：
文献类型：
--
作者：
Liao, ZP
一个系统的无反射边界条件（NRBC），首先制定通过直接模拟单向波传播使用的空间-时间外推由一个单一的人工波速。然后，通过将空间外推耦合到时空外推，并通过在时空外推中引入多个人工波速而不是单个波速来推广NRBC。上述两种概括的组合导致了当地NRBC的一般表示。从一个边界上，从该表示产生的NRBC施加的伪反射，分析了一步一步的瞬态计算和数值实验的声学情况下说明。最后讨论了本研究与其他主要的局部NRBC，特别是Higdon理论的关系，并简要讨论了未来的研究方向。
A system of non-reflecting boundary conditions (NRBCs) is first formulated via a direct simulation of one-way wave propagation using a space-time extrapolation governed by a single artificial wave speed. The NRBCs are then generalized by coupling a space extrapolation to the space-time extrapolation and by introducing several artificial wave speeds instead of the single one in the space-time extrapolation, separately. A combination of the above two generalizations leads to a general representation of the local NRBCs. Spurious reflections from a boundary, on which NRBCs generated from the representation are imposed, are analyzed for the step-by-step transient computation and illustrated by numerical experiments for the acoustic case. Relations of the present study with the other major local NRBCs, particularly, the Higdon's theory, are finally discussed and future research directions are briefly addressed.