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色散波的自适应开路边条件

邹光远

邹光远. 色散波的自适应开路边条件[J]. 力学学报, 1993, 25(3): 334-342. DOI: 10.6052/0459-1879-1993-3-1995-649
引用本文: 邹光远. 色散波的自适应开路边条件[J]. 力学学报, 1993, 25(3): 334-342. DOI: 10.6052/0459-1879-1993-3-1995-649
ADAPTIVE OPEN BOUNDARY CONDITION FOR DISPERSIVE WAVES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1993, 25(3): 334-342. DOI: 10.6052/0459-1879-1993-3-1995-649
Citation: ADAPTIVE OPEN BOUNDARY CONDITION FOR DISPERSIVE WAVES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1993, 25(3): 334-342. DOI: 10.6052/0459-1879-1993-3-1995-649
邹光远. 色散波的自适应开路边条件[J]. 力学学报, 1993, 25(3): 334-342. CSTR: 32045.14.0459-1879-1993-3-1995-649
引用本文: 邹光远. 色散波的自适应开路边条件[J]. 力学学报, 1993, 25(3): 334-342. CSTR: 32045.14.0459-1879-1993-3-1995-649
ADAPTIVE OPEN BOUNDARY CONDITION FOR DISPERSIVE WAVES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1993, 25(3): 334-342. CSTR: 32045.14.0459-1879-1993-3-1995-649
Citation: ADAPTIVE OPEN BOUNDARY CONDITION FOR DISPERSIVE WAVES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1993, 25(3): 334-342. CSTR: 32045.14.0459-1879-1993-3-1995-649

色散波的自适应开路边条件

ADAPTIVE OPEN BOUNDARY CONDITION FOR DISPERSIVE WAVES

  • 摘要: 本文从一类色散波的积分形式解出发,在陈和邹提出的自适应开路边条件的基础上,采用进一步引入局部瞬时等价波速,和将非线性色散关系式ω(k)在某个适当选定的k_0处作Taylor展开这两种不同方式,得到了几类不同的、可用于色散波,特别是色散水波的开路边条件。并利用两类有解析解的例子,计算了几种开路边条件的“聚散比”。计算结果表明,本文提出的方法是有效的。
    Abstract: The adaptive Open Boundary Condition (OBC) designed by Chen and the author is extended to cover the cases of dispersive waves. The design was based on a kind of dispersive solutions and an "Equivalent Wave Velocity" was introduced. The latter was derived from dispersive relation ω= ω(k) by Taylor expansion locally. A couple of different kinds of OBC are obtained, which can be used to the numerical computation of dispersive waves, especially, dispersive water waves. Two examples which have exact solutions ar...
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出版历程
  • 刊出日期:  1993-05-24

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