Structure and instability of high-density equations for traffic flow

被引：18
作者：
Helbing, D [1 ]
机构：
[1] Univ Stuttgart, Inst Theoret Phys 2, D-70550 Stuttgart, Germany
来源：
PHYSICAL REVIEW E | 1998年 / 57卷 / 05期
关键词：
D O I：
10.1103/PhysRevE.57.6176
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
Similar to the treatment of dense gases, fluid-dynamic equations for the dynamics of congested vehicular traffic are derived from Enskog-like kinetic equations. These contain additional terms due to the anisotropic vehicle interactions. The calculations are carried out up to Navier-Stokes order. A linear instability analysis indicates an additional kind of instability compared to previous macroscopic traffic models. The relevance for describing granular flows is outlined.
引用
收藏
页码：6176 / 6179
页数：4
相关论文
共 39 条
  • [1] DYNAMICAL MODEL OF TRAFFIC CONGESTION AND NUMERICAL-SIMULATION
    BANDO, M
    HASEBE, K
    NAKAYAMA, A
    SHIBATA, A
    SUGIYAMA, Y
    [J]. PHYSICAL REVIEW E, 1995, 51 (02): : 1035 - 1042
  • [2] PATTERN-FORMATION IN FLOWING SAND
    BAXTER, GW
    BEHRINGER, RP
    FAGERT, T
    JOHNSON, GA
    [J]. PHYSICAL REVIEW LETTERS, 1989, 62 (24) : 2825 - 2828
  • [3] Chapman S., 1970, The Mathematical Theory of Non-Uniform Gases, V3rd
  • [4] BREAKDOWN OF HYDRODYNAMICS IN A ONE-DIMENSIONAL SYSTEM OF INELASTIC PARTICLES
    DU, YS
    LI, H
    KADANOFF, LP
    [J]. PHYSICAL REVIEW LETTERS, 1995, 74 (08) : 1268 - 1271
  • [5] Practical kinetic model for hard sphere dynamics
    Dufty, JW
    Santos, A
    Brey, JJ
    [J]. PHYSICAL REVIEW LETTERS, 1996, 77 (07) : 1270 - 1273
  • [6] SPONTANEOUS SYMMETRY-BREAKING IN A ONE-DIMENSIONAL DRIVEN DIFFUSIVE SYSTEM
    EVANS, MR
    FOSTER, DP
    GODRECHE, C
    MUKAMEL, D
    [J]. PHYSICAL REVIEW LETTERS, 1995, 74 (02) : 208 - 211
  • [7] CLUSTERING INSTABILITY IN DISSIPATIVE GASES
    GOLDHIRSCH, I
    ZANETTI, G
    [J]. PHYSICAL REVIEW LETTERS, 1993, 70 (11) : 1619 - 1622
  • [8] MECHANICS OF COLLISIONAL MOTION OF GRANULAR-MATERIALS .1. GENERAL HYDRODYNAMIC EQUATIONS
    GOLDSHTEIN, A
    SHAPIRO, M
    [J]. JOURNAL OF FLUID MECHANICS, 1995, 282 : 75 - 114
  • [9] HYDRODYNAMIC DESCRIPTION OF GRANULAR CONVECTION
    HAYAKAWA, H
    YUE, S
    HONG, DC
    [J]. PHYSICAL REVIEW LETTERS, 1995, 75 (12) : 2328 - 2331
  • [10] Derivation and empirical validation of a refined traffic flow model
    Helbing, D
    [J]. PHYSICA A, 1996, 233 (1-2): : 253 - 282
1234