| 单层流驱动超临界孤立子的数值计算 |
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| 引用本文： | 徐肇廷,史峰岩.单层流驱动超临界孤立子的数值计算[J].中国海洋大学学报(自然科学版),1994(3). |
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| 作者姓名： | 徐肇廷 史峰岩 |
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| 作者单位： | 青岛海洋大学 |
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| 摘 要： | 用ｆＫｄＶ模式方程对单层二维表面波进行直接的数值研究。计算得出，在共振区域先锋孤立子的生成与Ｔ、Ｙ．Ｗｕ（吴耀祖）及Ｓ．Ｊ．Ｌｅｅ等人的结果相同。在共振点与超临界转向点之间，对每一个Ｆｒ数存在初始不稳定的单峰孤立子，其振幅随时间增加。当Ｆｒ数接近共振区时，初始孤立子分裂成先峰孤立子，即先峰孤立子生成是占优的。当Ｆｒ接近超临界转向点时，这类初始不稳定孤立子最终破碎。当Ｆｒ超过超临界转向点时，存在一类稳定的超临界孤立子，其振幅不随时间变化，但是它得自时间相关方程。这类孤立子位于驱动力上方，它的振幅随Ｆｒ的增加而减少．由于它不同于自由ＫｄＶ孤立子，因此本文称之为超临界驻定孤立子。
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| 关 键 词： | fKdV方程 先锋孤立子 超临界驻定孤立子 |
A NUMERICAL CALCULATION OF FORCED SUPERCRITICAL SOLITON IN A SINGLE-LAYER FLOW |
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| Xu Zhaoting, Shi Fengyan.A NUMERICAL CALCULATION OF FORCED SUPERCRITICAL SOLITON IN A SINGLE-LAYER FLOW[J].Periodical of Ocean University of China,1994(3). |
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| Authors: | Xu Zhaoting Shi Fengyan |
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| Abstract: | The fKdV model equation is employed in this paper to simulate numerically the surfacewater waves in a single-layer now under the condition of 2-D. The results of the simulation show that in the resonant region the generation of the precursor solitons is similar to those of T. Y. Wu (1987) and S. J. Lee et al. (1989). Between the resonant point and the supercritial turning point there exists a priliminary instable soliton with a single crest for eachFr (Froude number) and its amplitude increases with time. When Fr approaches the resonantpoint the instable soliton will generally split into precursor solitons, and when Fr is close tothe supercritical turning point it will eventually break. When Fr exceeds the supercriticalturning point, a stable supercritical soliton would come into being. Though this stable soliton was obtained by using a time-dependent equation, its amplitude does not change withtime. This sort of soliton sustains over the site of the forcing and its amplitude decays withthe increase of the Froude number. Due to its difference from the free KdV soliton, it isnamed as the supercritical stationary soliton in the present paper. |
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| Keywords: | fKdV precursor soliton supercritical stationary soliton |
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