基于分数阶对流扩散方程的悬沙垂向分布
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P333.4

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国家重点研发计划(2016YFC0402303);国家自然科学基金(51579230,51279192)


Vertical distribution of suspended sediment based on the fractional advection-diffusion equation
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    摘要:

    为模拟荆江河段的悬移质含沙量在近底区域内异常偏高的分布特性,对比分析了平衡态方程(Rouse公式)、非平衡态方程(韩其为公式)和分数阶方程在描述荆江河段次饱和悬沙垂向分布的适用性。分析结果表明:平衡态方程不能描述强次饱和态悬移质含沙量的垂向分布特性,非平衡态方程在水深大部分区域应用较好但不适用于近底区域,分数阶方程可以较好地描述强次饱和水体含沙量在全部水深区域包括近底层的异常变化,但对公式中新出现的分数阶参数需合理取值。

    Abstract:

    In order to simulate the anomalous vertical profile of suspended sediment in the Jingjiang Reach, three equations, including the equilibrium equation by Rouse, the non-equilibrium equation by Han Qiwei and the fractional advection-diffusion equation, were adopted to describe the vertical distribution of unsaturated suspended sediment. The results showed that the equilibrium equation by Rouse can not describe the vertical distribution of sand content in the suspended sediment. Comparing the calculated data with the measured data, Han’s Equation performed well in the upper part, but underestimated the value near the riverbed. The fractional advection-diffusion equation can give a good description of the vertical distribution of concentration in channel with unsaturated sediment regime, when the new fractional parameters have reasonable values.

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贺莉,陈东,段光磊,等.基于分数阶对流扩散方程的悬沙垂向分布[J].河海大学学报(自然科学版),2018,46(5):418-424.(HE Li, CHEN Dong, DUAN Guanglei, et al. Vertical distribution of suspended sediment based on the fractional advection-diffusion equation[J]. Journal of Hohai University (Natural Sciences),2018,46(5):418-424.(in Chinese))

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  • 在线发布日期: 2018-09-21
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