半离散模型的宽移动堵塞行波解  

Wide Moving Jam Solution of a Semi-discrete Model

作　　者：吴春秀[1] 陈明玉[1] WU Chunxiu;CHEN Mingyu(School of Mathematics and Computer Science,Quanzhou Normal University,Fujian 362000,China)

机构地区：[1]泉州师范学院数学与计算机科学学院,福建泉州362000

出　　处：《泉州师范学院学报》2019年第6期30-33,共4页Journal of Quanzhou Normal University

基　　金：国家自然科学基金资助项目(11602128).

摘　　要：在Lagrange坐标下,对一个宏观高阶交通流模型进行离散,得到相应的半离散模型.运用弱解理论,推导出描述宏观高阶模型宽移动堵塞行波解特征参数的方程组.借助数值模拟,验证当质量增量趋于零时半离散模型的宽移动堵塞行波解收敛于宏观高阶模型的解析解.A semi-discrete model is obtained by discretizing a macroscopic high-order traffic flow model under the Lagrange coordinate.The weak solution theory is applied to obtain a set of equations of the characteristic parameters about the wide moving jam solution of the macroscopic high-order model.The results of numerical simulation verify that the wide moving jam solution of the semi-discrete model converges to the analytical solution of the macroscopic higher-order model for the mass increment tends to zero.

关 键 词：Lagrange坐标 弱解理论 交通流 宽移动堵塞 行波解 

分 类 号：U491.112[交通运输工程—交通运输规划与管理] O241[交通运输工程—道路与铁道工程]