Fractional derivative modeling for suspended sediment in unsteady flows

被引：5

作者：

Li, Chunhao ^{[1
]}

Chen, Diyi ^{[1
,2
]}

Ge, Fudong ^{[3
]}

Chen, Yangquan ^{[4
]}

机构：

[1] Northwest A&F Univ, Inst Water Resources & Hydropower Res, Yangling 712100, Shaanxi, Peoples R China

[2] Northwest A&F Univ, Minist Educ, Key Lab Agr Soil & Water Engn Arid & Semiarid Are, Yangling 712100, Shaanxi, Peoples R China

[3] China Univ Geosci, Sch Comp Sci, Wuhan, Hubei, Peoples R China

[4] Univ Calif Merced, Mechatron Embedded Syst & Automat Lab, Merced, CA 95343 USA

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2019年 / 79卷

关键词：

Fractional; Suspended sediment; Continuous-time random walk; Non-locality; BED-LOAD TRANSPORT; STOCHASTIC TRANSPORT; DISPERSION; TIME; DIFFUSION; DYNAMICS; FLUID;

D O I：

10.1016/j.cnsns.2019.104971

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper makes an attempt to develop a fractional model for describing the distribution of suspended sediment in unsteady flows and study nonlinear dynamic phenomenon of fluids. This model shows the dynamic process of suspended sediment transport. The continuous-time random walk (CTRW) framework provides reasonable physical meaning for fractional order. By solving the equations with different orders and analyzing the results, we get the changing laws of concentration of suspended sediment and find some interesting phenomenon. The above results prove that fractional derivative can well describe the non-local properties of suspended sediment transport, including the non-local properties of time and space. Thus, the fractional derivative model can be serve as a candidate to describe the distribution of suspended sediment in unsteady flows. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：10

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