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교통 흐름 (LWR 모델)×하디 크로스 방법×
분야토목공학토목공학
계열Process / pipelineProcess / pipeline
기원 연도19551936
창시자M. J. Lighthill and G. B. WhithamHardy Cross
유형Macroscopic traffic flow modeling using conservation lawsIterative method for pipe network flow distribution
원전Lighthill, M. J., & Whitham, G. B. (1955). On kinematic waves I. Flow movement in long rivers. Proceedings of the Royal Society A, 229(1178), 281-316. DOI ↗Cross, H. (1936). Analysis of flow in networks of conduits or conductors. University of Illinois Bulletin, 34(17), 3-29. link ↗
별칭LWR model, Traffic wave, Kinematic wave theoryCross method, Moment distribution method, Iterative balancing
관련33
요약The Lighthill-Whitham-Richards (LWR) model is a macroscopic traffic flow model that treats traffic as a compressible fluid, applying conservation of vehicles and a flow-density relationship. Introduced independently by Lighthill and Whitham (1955) and Richards (1956), the model predicts traffic wave propagation, congestion formation, and bottleneck behavior on highways.The Hardy Cross method is an iterative technique for solving steady-state flow distribution in pipe networks, originally developed for water distribution systems. Introduced by Hardy Cross in 1936, this method balances flow continuity and pressure head constraints through successive iterations, making it ideal for hand calculations and gaining physical insight into network behavior.
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