Simulation of transcritical flow in pipe/channel networks
Abstract
Using finite difference methods in conjunction with the reduced momentum equation and applying boundary condition structure inherent to subcritical flow to all regimes, is an approach that enables efficient numerical simulation of supercritical and transcritical flows in pipe/channel systems. However, as well as certain errors within a single channel due to incomplete equations, this technique also may introduce unwanted effects propagating across a network in both upstream and downstream directions. These may include: unrealistic backwater effects due to improper boundary conditions, nonamplifying oscillations due to jerky jump movement, and other computational instabilities. Practical implications of these are analyzed in detail and are illustrated using a set of examples. Sensitivity analyzes and comparisons with analytical solutions and laboratory experiments are made. The measures to reduce the inaccuracies inevitable in simulation of transcritical flows are discussed.
Keywords:
pipe networks / simulation / pipe flow / channel flow / supercritical flow / transcritical flow / hydraulic jump / finite difference methodSource:
Journal of Hydraulic Engineering, 2004, 130, 12, 1167-1178Publisher:
- ASCE - American Society of Civil Engineers
DOI: 10.1061/(ASCE)0733-9429(2004)130:12(1167)
ISSN: 0733-9429
WoS: 000225088100004
Scopus: 2-s2.0-10444242453
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Institution/Community
GraFarTY - JOUR AU - Đorđević, Slobodan AU - Prodanović, Dušan AU - Walters, GA PY - 2004 UR - https://grafar.grf.bg.ac.rs/handle/123456789/80 AB - Using finite difference methods in conjunction with the reduced momentum equation and applying boundary condition structure inherent to subcritical flow to all regimes, is an approach that enables efficient numerical simulation of supercritical and transcritical flows in pipe/channel systems. However, as well as certain errors within a single channel due to incomplete equations, this technique also may introduce unwanted effects propagating across a network in both upstream and downstream directions. These may include: unrealistic backwater effects due to improper boundary conditions, nonamplifying oscillations due to jerky jump movement, and other computational instabilities. Practical implications of these are analyzed in detail and are illustrated using a set of examples. Sensitivity analyzes and comparisons with analytical solutions and laboratory experiments are made. The measures to reduce the inaccuracies inevitable in simulation of transcritical flows are discussed. PB - ASCE - American Society of Civil Engineers T2 - Journal of Hydraulic Engineering T1 - Simulation of transcritical flow in pipe/channel networks EP - 1178 IS - 12 SP - 1167 VL - 130 DO - 10.1061/(ASCE)0733-9429(2004)130:12(1167) ER -
@article{ author = "Đorđević, Slobodan and Prodanović, Dušan and Walters, GA", year = "2004", abstract = "Using finite difference methods in conjunction with the reduced momentum equation and applying boundary condition structure inherent to subcritical flow to all regimes, is an approach that enables efficient numerical simulation of supercritical and transcritical flows in pipe/channel systems. However, as well as certain errors within a single channel due to incomplete equations, this technique also may introduce unwanted effects propagating across a network in both upstream and downstream directions. These may include: unrealistic backwater effects due to improper boundary conditions, nonamplifying oscillations due to jerky jump movement, and other computational instabilities. Practical implications of these are analyzed in detail and are illustrated using a set of examples. Sensitivity analyzes and comparisons with analytical solutions and laboratory experiments are made. The measures to reduce the inaccuracies inevitable in simulation of transcritical flows are discussed.", publisher = "ASCE - American Society of Civil Engineers", journal = "Journal of Hydraulic Engineering", title = "Simulation of transcritical flow in pipe/channel networks", pages = "1178-1167", number = "12", volume = "130", doi = "10.1061/(ASCE)0733-9429(2004)130:12(1167)" }
Đorđević, S., Prodanović, D.,& Walters, G.. (2004). Simulation of transcritical flow in pipe/channel networks. in Journal of Hydraulic Engineering ASCE - American Society of Civil Engineers., 130(12), 1167-1178. https://doi.org/10.1061/(ASCE)0733-9429(2004)130:12(1167)
Đorđević S, Prodanović D, Walters G. Simulation of transcritical flow in pipe/channel networks. in Journal of Hydraulic Engineering. 2004;130(12):1167-1178. doi:10.1061/(ASCE)0733-9429(2004)130:12(1167) .
Đorđević, Slobodan, Prodanović, Dušan, Walters, GA, "Simulation of transcritical flow in pipe/channel networks" in Journal of Hydraulic Engineering, 130, no. 12 (2004):1167-1178, https://doi.org/10.1061/(ASCE)0733-9429(2004)130:12(1167) . .