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Continuity Flow Equation, Kinematic Waves and Shock Waves

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A Concise Introduction to Traffic Engineering

Part of the book series: Springer Tracts in Civil Engineering ((SPRTRCIENG))

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Abstract

This chapter gives an introduction to the flow continuity equation, dynamic traffic flow models and kinematic and shock waves. Since these topics are usually difficult for beginners, the mathematical treatment is highly detailed.

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References

  1. Lighthill M, Whitham G (1955) On kinematic waves II. A theory of traffic flow on long crowded roads. Proc R Soc Lond Part A 229 (1178):317–345

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  2. Gerlough DL, Huber MJ (1975) Traffic flow theory; a monograph. Special report 165. TRB

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  3. Kühne R, Michalopoulos P, Zhang HM (1992) Continuum flow models, Chapter 5, in Traffic flow theory(http://www.tfhrc.gov)

  4. Leutzbach W (1988) Introduction to the theory of traffic flow. Springer, Berlin

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  5. Prigogine I, Herman R (1971) Kinetic theory of vehicular traffic. Elsevier

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  6. Ferrari P (2007) Theory and control of traffic flow. TEP-Tipografia Editrice Pisana (in Italian)

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Correspondence to Marco Guerrieri .

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Guerrieri, M., Mauro, R. (2021). Continuity Flow Equation, Kinematic Waves and Shock Waves. In: A Concise Introduction to Traffic Engineering. Springer Tracts in Civil Engineering . Springer, Cham. https://doi.org/10.1007/978-3-030-60723-4_3

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  • DOI: https://doi.org/10.1007/978-3-030-60723-4_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-60722-7

  • Online ISBN: 978-3-030-60723-4

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