| 非传播孤立波的两个数学模型 |
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| 引用本文： | 向隆万 崔洪农. 非传播孤立波的两个数学模型[J]. 上海交通大学学报, 1991, 25(5): 87-94 |
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| 作者姓名： | 向隆万 崔洪农 |
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| 作者单位： | 上海交通大学应用数学系，上海交通大学应用数学系，上海交通大学应用数学系 任教于湘谭大学物理系 |
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| 摘 要： | 本文为非传播孤立波建立了两种数学模型:一是考虑表面张力影响的势流模型,并得到了关于垂直激振和水平激振稳态解的近似解析表达式,与实验观测现象较为吻合;二是考虑表面张力以及粘性影响的非惯性系水柱模型,在垂直激振情况下,有限差分数值结果也与实验数据相近.
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| 关 键 词： | 非传播孤立波 势流模型 水柱模型 |
Two Mathematical Models for Non-propergating Solitary Waves |
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| Xiang Longwan Mu Jianfei Cui Hongnong. Two Mathematical Models for Non-propergating Solitary Waves[J]. Journal of Shanghai Jiaotong University, 1991, 25(5): 87-94 |
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| Authors: | Xiang Longwan Mu Jianfei Cui Hongnong |
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| Affiliation: | Xiang Longwan Mu Jianfei Cui Hongnong |
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| Abstract: | Two mathematical models for non-propergating waves are establi-shed.The first one is a potential flow model,which considers the effect ofsurface tension and leads to some analytical expressions of atatic solution inboth vertical and horizontal excitations.The second one is a water cylindermodel in a non-inertial system with the effects of surface tension as well asviscosity.A mixed spectral-difference method gives good numerical resultscoinciding with the experimental. |
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| Keywords: | non-propergating solitary waves potential flow model water cylinder model in non-inertial system |
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