Impact of Strong Wind and Optimal Estimation of Flux Difference Integral in a Lattice Hydrodynamic Model

A modified lattice hydrodynamic model is proposed, in which the impact of strong wind and the optimal estimation of flux difference integral are simultaneously analyzed. Based on the control theory, the stability condition is acquired through linear analysis. The modified Korteweg-de Vries (mKdV) eq...

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Autores principales:	Huimin Liu, Yuhong Wang
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	traffic flow the lattice hydrodynamic model control signal strong wind optimal estimation of flux difference integral Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/08df1116c1184179a63dd485e642ed95
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spelling	oai:doaj.org-article:08df1116c1184179a63dd485e642ed952021-11-25T18:16:58ZImpact of Strong Wind and Optimal Estimation of Flux Difference Integral in a Lattice Hydrodynamic Model10.3390/math92228972227-7390https://doaj.org/article/08df1116c1184179a63dd485e642ed952021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2897https://doaj.org/toc/2227-7390A modified lattice hydrodynamic model is proposed, in which the impact of strong wind and the optimal estimation of flux difference integral are simultaneously analyzed. Based on the control theory, the stability condition is acquired through linear analysis. The modified Korteweg-de Vries (mKdV) equation is derived via nonlinear analysis, in order to express a description of the evolution of density waves. Then, numerical simulation is conducted. From the simulation results, strong wind can largely influence the traffic flow stability. The stronger the wind becomes, the more stable the traffic flow is, to some extent. Similarly, the optimal estimation of flux difference integral also contributes to stabilizing traffic flow. The simulation results show no difference compared with the theoretical findings. In conclusion, the new model is able to make the traffic flow more stable.Huimin LiuYuhong WangMDPI AGarticletraffic flowthe lattice hydrodynamic modelcontrol signalstrong windoptimal estimation of flux difference integralMathematicsQA1-939ENMathematics, Vol 9, Iss 2897, p 2897 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	traffic flow the lattice hydrodynamic model control signal strong wind optimal estimation of flux difference integral Mathematics QA1-939
spellingShingle	traffic flow the lattice hydrodynamic model control signal strong wind optimal estimation of flux difference integral Mathematics QA1-939 Huimin Liu Yuhong Wang Impact of Strong Wind and Optimal Estimation of Flux Difference Integral in a Lattice Hydrodynamic Model
description	A modified lattice hydrodynamic model is proposed, in which the impact of strong wind and the optimal estimation of flux difference integral are simultaneously analyzed. Based on the control theory, the stability condition is acquired through linear analysis. The modified Korteweg-de Vries (mKdV) equation is derived via nonlinear analysis, in order to express a description of the evolution of density waves. Then, numerical simulation is conducted. From the simulation results, strong wind can largely influence the traffic flow stability. The stronger the wind becomes, the more stable the traffic flow is, to some extent. Similarly, the optimal estimation of flux difference integral also contributes to stabilizing traffic flow. The simulation results show no difference compared with the theoretical findings. In conclusion, the new model is able to make the traffic flow more stable.
format	article
author	Huimin Liu Yuhong Wang
author_facet	Huimin Liu Yuhong Wang
author_sort	Huimin Liu
title	Impact of Strong Wind and Optimal Estimation of Flux Difference Integral in a Lattice Hydrodynamic Model
title_short	Impact of Strong Wind and Optimal Estimation of Flux Difference Integral in a Lattice Hydrodynamic Model
title_full	Impact of Strong Wind and Optimal Estimation of Flux Difference Integral in a Lattice Hydrodynamic Model
title_fullStr	Impact of Strong Wind and Optimal Estimation of Flux Difference Integral in a Lattice Hydrodynamic Model
title_full_unstemmed	Impact of Strong Wind and Optimal Estimation of Flux Difference Integral in a Lattice Hydrodynamic Model
title_sort	impact of strong wind and optimal estimation of flux difference integral in a lattice hydrodynamic model
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/08df1116c1184179a63dd485e642ed95
work_keys_str_mv	AT huiminliu impactofstrongwindandoptimalestimationoffluxdifferenceintegralinalatticehydrodynamicmodel AT yuhongwang impactofstrongwindandoptimalestimationoffluxdifferenceintegralinalatticehydrodynamicmodel
_version_	1718411361096040448

Impact of Strong Wind and Optimal Estimation of Flux Difference Integral in a Lattice Hydrodynamic Model

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