Scholarlink

This report investigates a stabilization method for the Lighthill-Whitham-Richards (LWR) model which utilizes the continuity equation to model the behavior of traffic. The LWR equations are combined with the Greenshield’s model for velocity resulting in a first order nonlinear PDE. It is known that the usual unstabilized finite element method (FEM) contains spurious oscillations for non-smooth solutions for this nonlinear PDE. Herein, Vreman stabilization, that involves filtering and deconvolution, is implemented for treatment of the shocks and the affects of higher order deconvolution are investigated.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Vreman Stabilization for Nonlinear Greenshield’s Model for Traffic Flow

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Monika Neda,
  • Jorge Reyes,
  • Jiajia Waters

摘要

This report investigates a stabilization method for the Lighthill-Whitham-Richards (LWR) model which utilizes the continuity equation to model the behavior of traffic. The LWR equations are combined with the Greenshield’s model for velocity resulting in a first order nonlinear PDE. It is known that the usual unstabilized finite element method (FEM) contains spurious oscillations for non-smooth solutions for this nonlinear PDE. Herein, Vreman stabilization, that involves filtering and deconvolution, is implemented for treatment of the shocks and the affects of higher order deconvolution are investigated.