手法を比較

	ハーディ・クロス法	テルツァギの圧密	交通流（LWRモデル）
分野	土木工学	土木工学	土木工学
系統	Process / pipeline	Process / pipeline	Process / pipeline
提唱年	1936	1943	1955
提唱者	Hardy Cross	Karl Terzaghi	M. J. Lighthill and G. B. Whitham
種類	Iterative method for pipe network flow distribution	Diffusion equation for pore pressure dissipation and soil settlement	Macroscopic traffic flow modeling using conservation laws
原典	Cross, H. (1936). Analysis of flow in networks of conduits or conductors. University of Illinois Bulletin, 34(17), 3-29.	Terzaghi, K. (1943). Theoretical Soil Mechanics. John Wiley & Sons. ISBN: 0-471-85305-1	Lighthill, 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.
別名	Cross method, Moment distribution method, Iterative balancing	Primary consolidation, Soil settlement, Effective stress	LWR model, Traffic wave, Kinematic wave theory
関連	3	3	3
概要	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.	Terzaghi consolidation theory describes how water-saturated clay soils compress over time as excess pore water pressure dissipates and effective stress increases. Formulated by Karl Terzaghi in 1943, this foundational theory enables prediction of settlement rates for foundations on compressible soils, a critical design concern in geotechnical engineering.	The 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.