Asymptotic solution of a wide moving jam to a class of higher-order viscous traffic flow models

doi:10.1007/s10483-018-2327-6

Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (5): 609-622.doi: https://doi.org/10.1007/s10483-018-2327-6

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Asymptotic solution of a wide moving jam to a class of higher-order viscous traffic flow models

Chunxiu WU^1,2,3

1. College of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, Fujian Province, China;
2. Fujian Provincial Key Laboratory of Data Intensive Computing, Quanzhou 362000, Fujian Province, China;
3. Key Laboratory of Intelligent Computing and Information Processing, Quanzhou 362000, Fujian Province, China

收稿日期:2017-07-26 修回日期:2017-11-06 出版日期:2018-05-01 发布日期:2018-05-01
通讯作者: Chunxiu WU,E-mail:wuchunxiu66@163.com E-mail:wuchunxiu66@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11602128) and the Natural Science Foundation of Fujian Province of China (No. 2016J01679)

Asymptotic solution of a wide moving jam to a class of higher-order viscous traffic flow models

Chunxiu WU^1,2,3

1. College of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, Fujian Province, China;
2. Fujian Provincial Key Laboratory of Data Intensive Computing, Quanzhou 362000, Fujian Province, China;
3. Key Laboratory of Intelligent Computing and Information Processing, Quanzhou 362000, Fujian Province, China

Received:2017-07-26 Revised:2017-11-06 Online:2018-05-01 Published:2018-05-01
Contact: Chunxiu WU E-mail:wuchunxiu66@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11602128) and the Natural Science Foundation of Fujian Province of China (No. 2016J01679)

摘要/Abstract

摘要：

The boundary-layer method is used to study a wide moving jam to a class of higher-order viscous models. The equations for characteristic parameters are derived to determine the asymptotic solution. The sufficient and essential conditions for the wide moving jam formation are discussed in detail, respectively, and then used to prove or disprove the existence of the wide moving jam solutions to many well-known higher-order models. It is shown that the numerical results agree with the analytical results.

关键词: shockmulti-rigidbody system, Lagrange method, dynamics, wide moving jam, boundary-layer method, higher-order traffic flow model, weighted essentially nonoscillatory (WENO) scheme

Abstract:

Key words: shockmulti-rigidbody system, Lagrange method, dynamics, boundary-layer method, higher-order traffic flow model, weighted essentially nonoscillatory (WENO) scheme, wide moving jam

中图分类号:

00A69

Chunxiu WU. Asymptotic solution of a wide moving jam to a class of higher-order viscous traffic flow models[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(5): 609-622.

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Asymptotic solution of a wide moving jam to a class of higher-order viscous traffic flow models

Asymptotic solution of a wide moving jam to a class of higher-order viscous traffic flow models

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