Numerical Simulations of Traffic Flow Models
Explore this paper's citation graph
Summary
The one-equation Lighthill Witham and Richards (LWR) model combined with the Greenshield's model, is used for finding analytical and numerical solutions for four problems: Linear Advection, Red Traffic Light turning into Green, Stationary Shock and Shock Moving towards Right.
- Type
- article
- Published
- 2014-01-01
- Cited by
- 2
- References
- 15
- Access
- Open access
- OpenAlex
- https://openalex.org/W87246348
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:38457857
Keywords
Finite element method, Flow (mathematics), Compressible flow, Numerical analysis, Las vegas
References
- NUMERICAL ANALYSIS OF A HIGHER ORDER TIME RELAXATION MODEL OF FLUIDS
- Deconvolution Methods for Subgrid-Scale Approximation in Large-Eddy Simulation
- Numerical Solution of Hyperbolic Partial Differential Equations
- Large Eddy Simulation of Turbulent Incompressible Flows - Analytical and Numerical Results for a Class of LES Models
- Pedestrian Dynamics: Mathematical Theory and Evacuation Control
- Mathematical models : mechanical vibrations, population dynamics, and traffic flow : an introduction to applied mathematics
- Analysis of the Godunov-Based Hybrid Model for Ramp Metering and Robust Feedback Control Design
- A Subgrid-Scale Deconvolution Approach for Shock Capturing
- Numerical methods for conservation laws
- New development in freefem++
- Truncation of scales by time relaxation
- Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow
- Fundamentals of Finite Element Analysis
- 1. Mechanical Vibrations
Cited by
Related papers
- An extended lattice model of traffic flow and numerical simulation
- Numerical simulation of traffic flow using a hydrodynamic model
- Numerical simulations of macroscopic traffic equations
- Shock Wave Simulations by Finite Difference Schemes (Mathematical Analysis in Fluid and Gas Dynamics)
- Numerical Simulations of Rarefied Gases in Curved Channels: Thermal Creep, Circulating Flow, and Pumping Effect
- Numerical Simulations of Cavitating Flows in Venturi
- Numerical solution of the dispersion equation using a variable dispersion coefficient: method and applications
- Numerical and Experimental Studies on a Three-Dimensional Numerical Wave Tank