Shockwave

Shockwave - Traffic Flow Theory Shockwave Hong K LO Civil...

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1 Traffic Flow Theory: Shockwave Hong K LO Civil Engineering HKUST
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3 Shockwave Analysis • A shock wave is said to exist whenever traffic streams of varying stream conditions meet. • Flow-speed-density states change over space and time. When these changes occur a boundary is established that marks the time time-space domain of one flow state from another.
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4 The shock wave equation: U qq kk sw ba = where q k q k bb aa ,, and are the flows and densities associated with the two traffic streams + U sw => shock wave travels in the direction of the stream flow. - U sw => shock wave moves in the upstream direction. U sw = 0 => shock wave is stationary w.r.t. the roadway.
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5 • Example, vehicles stopped by a red light are packed at jam density (with zero speed and flow). Upstream of the stationary platoon, vehicles approach the platoon at the approach conditions. The shock wave between the approach vehicles and the jammed vehicles defined by the last vehicle to be stopped is, in fact, moving in the negative (upstream) direction.
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This note was uploaded on 12/24/2011 for the course CIVL 563 taught by Professor Hklo during the Fall '10 term at HKUST.

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Shockwave - Traffic Flow Theory Shockwave Hong K LO Civil...

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