A Lagrangian particle model for one-dimensional transient pipe flow with moving boundary
For simulating fluid transients in pipelines with moving water-air interface, a one-dimensional Lagrangian particle model with second-order accuracy in both space and time is proposed. In this model, the meshless smoothed particle hydrodynamics (SPH) is used to approximate the spatial derivatives in...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2025-12-01
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| Series: | Engineering Applications of Computational Fluid Mechanics |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/19942060.2025.2452360 |
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| author | Yuejin Cai Jianguo Wei Qingzhi Hou Huaicheng Fan Arris S. Tijsseling |
| author_facet | Yuejin Cai Jianguo Wei Qingzhi Hou Huaicheng Fan Arris S. Tijsseling |
| author_sort | Yuejin Cai |
| collection | DOAJ |
| description | For simulating fluid transients in pipelines with moving water-air interface, a one-dimensional Lagrangian particle model with second-order accuracy in both space and time is proposed. In this model, the meshless smoothed particle hydrodynamics (SPH) is used to approximate the spatial derivatives in the waterhammer equations, and the symplectic leap frog scheme is used for time integration. The nonlinear convective terms – which are mostly neglected in classical water hammer – are taken into account. The details of the Lagrangian particle method, boundary condition treatment and artificial viscosity for remedy of numerical oscillations due to shocks are presented. Two typical cases including transient flow with entrapped air pocket and rapid pipe filling are simulated and the results are validated against available experimental and numerical solutions, which has wide applications for flow simulation in drainage networks. To test the shock capturing ability of the developed model, the classical water hammer problem is also simulated and good agreement with the theoretical solution is obtained. It is shown that the proposed Lagrangian particle model is capable of solving waterhammer equations with moving boundaries and that it has high potential for multiphase transient flows. |
| format | Article |
| id | doaj-art-afd311eea6b942db81549085268f7143 |
| institution | Kabale University |
| issn | 1994-2060 1997-003X |
| language | English |
| publishDate | 2025-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Engineering Applications of Computational Fluid Mechanics |
| spelling | doaj-art-afd311eea6b942db81549085268f71432025-01-27T12:55:10ZengTaylor & Francis GroupEngineering Applications of Computational Fluid Mechanics1994-20601997-003X2025-12-0119110.1080/19942060.2025.2452360A Lagrangian particle model for one-dimensional transient pipe flow with moving boundaryYuejin Cai0Jianguo Wei1Qingzhi Hou2Huaicheng Fan3Arris S. Tijsseling4College of Intelligence and Computing, Tianjin University, Tianjin, People's Republic of ChinaCollege of Intelligence and Computing, Tianjin University, Tianjin, People's Republic of ChinaState Key Laboratory of Hydraulic Engineering Intelligent Construction and Operation, Tianjin University, Tianjin, People's Republic of ChinaState Key Laboratory of Hydraulic Engineering Intelligent Construction and Operation, Tianjin University, Tianjin, People's Republic of ChinaDepartment of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, The NetherlandsFor simulating fluid transients in pipelines with moving water-air interface, a one-dimensional Lagrangian particle model with second-order accuracy in both space and time is proposed. In this model, the meshless smoothed particle hydrodynamics (SPH) is used to approximate the spatial derivatives in the waterhammer equations, and the symplectic leap frog scheme is used for time integration. The nonlinear convective terms – which are mostly neglected in classical water hammer – are taken into account. The details of the Lagrangian particle method, boundary condition treatment and artificial viscosity for remedy of numerical oscillations due to shocks are presented. Two typical cases including transient flow with entrapped air pocket and rapid pipe filling are simulated and the results are validated against available experimental and numerical solutions, which has wide applications for flow simulation in drainage networks. To test the shock capturing ability of the developed model, the classical water hammer problem is also simulated and good agreement with the theoretical solution is obtained. It is shown that the proposed Lagrangian particle model is capable of solving waterhammer equations with moving boundaries and that it has high potential for multiphase transient flows.https://www.tandfonline.com/doi/10.1080/19942060.2025.2452360Lagrangian modelsmoothed particle hydrodynamicswater hammermoving boundarypipe fillingentrapped air pocket |
| spellingShingle | Yuejin Cai Jianguo Wei Qingzhi Hou Huaicheng Fan Arris S. Tijsseling A Lagrangian particle model for one-dimensional transient pipe flow with moving boundary Engineering Applications of Computational Fluid Mechanics Lagrangian model smoothed particle hydrodynamics water hammer moving boundary pipe filling entrapped air pocket |
| title | A Lagrangian particle model for one-dimensional transient pipe flow with moving boundary |
| title_full | A Lagrangian particle model for one-dimensional transient pipe flow with moving boundary |
| title_fullStr | A Lagrangian particle model for one-dimensional transient pipe flow with moving boundary |
| title_full_unstemmed | A Lagrangian particle model for one-dimensional transient pipe flow with moving boundary |
| title_short | A Lagrangian particle model for one-dimensional transient pipe flow with moving boundary |
| title_sort | lagrangian particle model for one dimensional transient pipe flow with moving boundary |
| topic | Lagrangian model smoothed particle hydrodynamics water hammer moving boundary pipe filling entrapped air pocket |
| url | https://www.tandfonline.com/doi/10.1080/19942060.2025.2452360 |
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