Minimisation du Content par une méthode d'active set pour les équations d'équilibrage hydraulique conduites par la pression
| Autor: | Jochen Deuerlein, Olivier Piller, Angus R. Simpson, Sylvan Elhay |
|---|---|
| Přispěvatelé: | Environnement, territoires et infrastructures (UR ETBX), Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA), University of Adelaide |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Karush–Kuhn–Tucker conditions
010504 meteorology & atmospheric sciences Astrophysics::High Energy Astrophysical Phenomena 0208 environmental biotechnology Geography Planning and Development 02 engineering and technology Management Monitoring Policy and Law 01 natural sciences Physics::Fluid Dynamics Distribution system MODELE symbols.namesake models RESEAU D'EAU POTABLE [SPI]Engineering Sciences [physics] PRESSION DES FLUIDES Applied mathematics INDICATEUR DE DEBIT RESEAU DE DISTRIBUTION D'EAU [MATH]Mathematics [math] Newton's method water distribution system 0105 earth and related environmental sciences Water Science and Technology Civil and Structural Engineering Mathematics Pressure dependent 020801 environmental engineering drinking water systems [SDE]Environmental Sciences Content (measure theory) symbols Content Model MESURE DE PRESSION Active set method |
| Zdroj: | Journal of Water Resources Planning and Management Journal of Water Resources Planning and Management, American Society of Civil Engineers, 2019, 145 (1), 04018082, 14 p. ⟨10.1061/(ASCE)WR.1943-5452.0001003⟩ Journal of Water Resources Planning and Management, American Society of Civil Engineers, 2019, 145 (1), 26 p. ⟨10.1061/(ASCE)WR.1943-5452.0001003⟩ |
| ISSN: | 0733-9496 |
| DOI: | 10.1061/(ASCE)WR.1943-5452.0001003⟩ |
| Popis: | International audience; A new content-based, box-constrained, active-set projected Newton method is presented that solves for the heads, the pipe flows, and the nodal outflows of a water distribution system in which nodal outflows are pressure dependent. The new method is attractive because, by comparison with the previously published weighted least-squares energy and mass residuals (EMR) damped Newton method, (1) it typically takes fewer iterations, (2) it does not require damping, (3) it takes less wall-clock time, (4) it does not require the addition of any virtual elements, and (5) it is algorithmically easier to deal with. Various pressure-outflow relationships (PORs), which model nodal outflows, were considered and two new PORs are presented. The new method is shown, by application to eight previously published case study networks with up to about 20,000 pipes and 18,000 nodes, to be up to five times faster than the EMR method and to take between 34% and 70% fewer iterations than the EMR method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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