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হার্ডি ক্রস পদ্ধতি×MODFLOW ভূগর্ভস্থ জল মডেলিং×ট্র্যাফিক প্রবাহ (LWR মডেল)×
ক্ষেত্রপুরকৌশলপুরকৌশলপুরকৌশল
পরিবারProcess / pipelineProcess / pipelineProcess / pipeline
উদ্ভবের বছর19361984 (original release); continuously updated through MODFLOW-6 (2017)1955
প্রবর্তকHardy CrossMichael G. McDonald and Arlen W. Harbaugh (U.S. Geological Survey)M. J. Lighthill and G. B. Whitham
ধরনIterative method for pipe network flow distributionNumerical groundwater flow simulationMacroscopic traffic flow modeling using conservation laws
মৌলিক উৎসCross, H. (1936). Analysis of flow in networks of conduits or conductors. University of Illinois Bulletin, 34(17), 3-29. link ↗Harbaugh, A. W. (2005). MODFLOW-2005, the U.S. Geological Survey modular ground-water model — the Ground-Water Flow Process. U.S. Geological Survey Techniques and Methods 6-A16. link ↗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. DOI ↗
অপর নামCross method, Moment distribution method, Iterative balancingMODFLOW-2005, MODFLOW-6, modular groundwater flow model, USGS groundwater modelLWR model, Traffic wave, Kinematic wave theory
সম্পর্কিত303
সারসংক্ষেপThe 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.MODFLOW is the U.S. Geological Survey's open-source, modular finite-difference model for simulating three-dimensional groundwater flow through porous media. First released in 1984 and continuously updated — most recently as MODFLOW-6 — it is the global standard for quantitative hydrogeological analysis, widely used in civil engineering, environmental consulting, water-resource management, and groundwater contamination studies.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.
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ScholarGateপদ্ধতির তুলনা করুন: Hardy Cross Method · MODFLOW Groundwater Modeling · Traffic Flow (LWR Model). 2026-06-19 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare