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arXiv 1402.0086physics.flu-dynmath-phmath.MPnlin.PS
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理想流体动力学的一个喷流层次

A jetlet hierarchy for ideal fluid dynamics

C. J. Cotter, D. D. Holm, H. O. Jacobs, D. M. Meier

摘要:

在汉密尔顿原理中使用光滑流图的截断泰勒展开来推导出理想流体动力学的多尺度拉格朗日粒子表示。在一个水平的截断的解决方案的散射的数值模拟被发现在更高的水平产生的解决方案。在泰勒展开中,这些散射到较高水平的事件被解释为模拟级联到较小尺度。

英文摘要:

Truncated Taylor expansions of smooth flow maps are used in Hamilton's principle to derive a multiscale Lagrangian particle representation of ideal fluid dynamics. Numerical simulations for scattering of solutions at one level of truncation are found to produce solutions at higher levels. These scattering events to higher levels in the Taylor expansion are interpreted as modeling a cascade to smaller scales.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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