Two-dimensional macroscopic model of traffic flows

被引：17
|
作者：
Sukhinova A.B. [1 ]
Trapeznikova M.A. [1 ]
Chetverushkin B.N. [1 ]
Churbanova N.G. [1 ]
机构：
[1] Institute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow
来源：
Mathematical Models and Computer Simulations | 2009年 / 1卷 / 6期
基金：
俄罗斯基础研究基金会;
关键词：
Traffic Flow; Traffic Flow Model; Lane Traffic; Phenomenological Constant; Conservative Finite Difference Scheme;
D O I：
10.1134/S2070048209060027
中图分类号：
学科分类号：
摘要：
The problem of simulating city and highway traffic flows is considered. Existing simulation techniques are reviewed in brief. A two-dimensional model of a synchronized traffic flow based on continuum approach and similar to kinetically consistent difference schemes is developed. Test problems are used to check the model. © 2009, Pleiades Publishing, Ltd.
引用
收藏
页码：669 / 676
页数：7
相关论文
共 50 条
  • [1] Two-dimensional macroscopic model for large scale traffic networks
    Mollier, Stephane
    Delle Monache, Maria Laura
    Canudas-de-Wit, Carlos
    Seibold, Benjamin
    TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 2019, 122 : 309 - 326
  • [2] A nonconservative macroscopic traffic flow model in a two-dimensional urban-porous city
    Garcia-Chan, Nestor
    Alvarez-Vazquez, Lino J.
    Martinez, Aurea
    Vazquez-Mendez, Miguel E.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2025, 233 : 60 - 74
  • [3] Two-dimensional model for lateral intake flows
    Kolahdoozan, M
    Taher-Shamsi, A
    Sadeghi-Bagheney, M
    Mohamadian, A
    PROCEEDINGS OF THE INSTITUTION OF CIVIL ENGINEERS-WATER MANAGEMENT, 2005, 158 (04) : 141 - 150
  • [4] MACROSCOPIC MODELING OF MULTILANE MOTORWAYS USING A TWO-DIMENSIONAL SECOND-ORDER MODEL OF TRAFFIC FLOW
    Herty, Michael
    Moutari, Salissou
    Visconti, Giuseppe
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2018, 78 (04) : 2252 - 2278
  • [5] Stability of small perturbations for a modified two-dimensional quasi-gasdynamic model of traffic flows
    Zlotnik A.A.
    Mathematical Models and Computer Simulations, 2010, 2 (6) : 776 - 781
  • [6] Some properties of the equations governing a two-dimensional quasi-gasdynamic model of traffic flows
    Zlotnik, A. A.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2009, 49 (02) : 363 - 372
  • [7] Some properties of the equations governing a two-dimensional quasi-gasdynamic model of traffic flows
    A. A. Zlotnik
    Computational Mathematics and Mathematical Physics, 2009, 49 : 363 - 372
  • [8] A two-dimensional car-following model for two-dimensional traffic flow problems
    Delpiano, Rafael
    Carlos Herrera, Juan
    Laval, Jorge
    Enrique Coeymans, Juan
    TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES, 2020, 114 : 504 - 516
  • [9] Pore scale mixing and macroscopic solute dispersion regimes in polymer flows inside two-dimensional model networks
    D'Angelo, Maria Veronica
    Auradou, Harold
    Allain, Catherine
    Hulin, Jean-Pierre
    PHYSICS OF FLUIDS, 2007, 19 (03)
  • [10] Two-dimensional model of convective flows arising in microflotation
    Rulev, N.N.
    Rogov, V.M.
    Soviet Journal of Water Chemistry and Technology (English Translation of Khimiya i Tekhnologiya Vo, 1983, 5 (03): : 1 - 6
12345