NUMERICAL SIMULATION OF TRANSIENT FLOW IN STORM SEWERS USING STANDARD AND IMPROVED MCCORMACK SCHEME

This paper describes the results of the first part of the research project which aims at developing a hydraulic model for simulation of unsteady flows in storm sewers ranging from gravity flows to surcharged flows resulting with water outflow on the ground surface and propagation of inundation in t...

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Main Authors: MICHAŁ SZYDŁOWSKI, JUSTYNA MACHALIŃSKA-MURAWSKA
Format: Article
Language:English
Published: Gdańsk University of Technology 2012-01-01
Series:TASK Quarterly
Subjects:
Online Access:https://journal.mostwiedzy.pl/TASKQuarterly/article/view/1951
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author MICHAŁ SZYDŁOWSKI
JUSTYNA MACHALIŃSKA-MURAWSKA
author_facet MICHAŁ SZYDŁOWSKI
JUSTYNA MACHALIŃSKA-MURAWSKA
author_sort MICHAŁ SZYDŁOWSKI
collection DOAJ
description This paper describes the results of the first part of the research project which aims at developing a hydraulic model for simulation of unsteady flows in storm sewers ranging from gravity flows to surcharged flows resulting with water outflow on the ground surface and propagation of inundation in the flooded area. The paper focuses on the development and assessment of a second-order explicit numerical scheme for unsteady flows in sewers, but only in a single pipe at this moment, without any special elements such as manholes or drop shafts and with no water overflowing problem. The problem of water flow in sewer system pipes is associated with some specific phenomena occurring in conduits during storm events. If the pipes start to be fully filled with water, there is a transition from free surface to pressurized flow. Then, the vice versa effect can be observed. Such transitions are also possible in sewers when the discharge is controlled by control devices, such as gates for example. Moreover, the rapidly varied flow with some hydraulic local effects such as hydraulic jumps or bores can appear during extreme rain episodes. The appropriate modeling techniques have to be applied to solve these problems. The ‘Preissmann slot’ concept is implemented to simulate the pressurized flow. The original and improved McCormack scheme is used for transcritical flow simulation. The calculated results obtained for some benchmark tests are compared with numerical solutions and laboratory measurements published in the technical literature.
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spelling doaj.art-eded968a2bda40ba9946e37188533d382022-12-22T02:53:26ZengGdańsk University of TechnologyTASK Quarterly1428-63942012-01-01161-2NUMERICAL SIMULATION OF TRANSIENT FLOW IN STORM SEWERS USING STANDARD AND IMPROVED MCCORMACK SCHEMEMICHAŁ SZYDŁOWSKI0JUSTYNA MACHALIŃSKA-MURAWSKA1Gdansk University of Technology, Faculty of Civil and Environmental EngineeringGdansk University of Technology, Faculty of Civil and Environmental Engineering This paper describes the results of the first part of the research project which aims at developing a hydraulic model for simulation of unsteady flows in storm sewers ranging from gravity flows to surcharged flows resulting with water outflow on the ground surface and propagation of inundation in the flooded area. The paper focuses on the development and assessment of a second-order explicit numerical scheme for unsteady flows in sewers, but only in a single pipe at this moment, without any special elements such as manholes or drop shafts and with no water overflowing problem. The problem of water flow in sewer system pipes is associated with some specific phenomena occurring in conduits during storm events. If the pipes start to be fully filled with water, there is a transition from free surface to pressurized flow. Then, the vice versa effect can be observed. Such transitions are also possible in sewers when the discharge is controlled by control devices, such as gates for example. Moreover, the rapidly varied flow with some hydraulic local effects such as hydraulic jumps or bores can appear during extreme rain episodes. The appropriate modeling techniques have to be applied to solve these problems. The ‘Preissmann slot’ concept is implemented to simulate the pressurized flow. The original and improved McCormack scheme is used for transcritical flow simulation. The calculated results obtained for some benchmark tests are compared with numerical solutions and laboratory measurements published in the technical literature. https://journal.mostwiedzy.pl/TASKQuarterly/article/view/1951mathematical modelingnumerical simulationtransient flowstorm sewers
spellingShingle MICHAŁ SZYDŁOWSKI
JUSTYNA MACHALIŃSKA-MURAWSKA
NUMERICAL SIMULATION OF TRANSIENT FLOW IN STORM SEWERS USING STANDARD AND IMPROVED MCCORMACK SCHEME
TASK Quarterly
mathematical modeling
numerical simulation
transient flow
storm sewers
title NUMERICAL SIMULATION OF TRANSIENT FLOW IN STORM SEWERS USING STANDARD AND IMPROVED MCCORMACK SCHEME
title_full NUMERICAL SIMULATION OF TRANSIENT FLOW IN STORM SEWERS USING STANDARD AND IMPROVED MCCORMACK SCHEME
title_fullStr NUMERICAL SIMULATION OF TRANSIENT FLOW IN STORM SEWERS USING STANDARD AND IMPROVED MCCORMACK SCHEME
title_full_unstemmed NUMERICAL SIMULATION OF TRANSIENT FLOW IN STORM SEWERS USING STANDARD AND IMPROVED MCCORMACK SCHEME
title_short NUMERICAL SIMULATION OF TRANSIENT FLOW IN STORM SEWERS USING STANDARD AND IMPROVED MCCORMACK SCHEME
title_sort numerical simulation of transient flow in storm sewers using standard and improved mccormack scheme
topic mathematical modeling
numerical simulation
transient flow
storm sewers
url https://journal.mostwiedzy.pl/TASKQuarterly/article/view/1951
work_keys_str_mv AT michałszydłowski numericalsimulationoftransientflowinstormsewersusingstandardandimprovedmccormackscheme
AT justynamachalinskamurawska numericalsimulationoftransientflowinstormsewersusingstandardandimprovedmccormackscheme