A time-splitting pressure-correction projection method for complete two-fluid modeling of a local scour hole |
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Institution: | 1. School of Civil Engineering, College of Engineering, University of Tehran, Tehran, P.O. Box 4563, 11155, Iran;2. Department of Civil Engineering, College of Engineering, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran;1. State Key Laboratory of Hydro-science and Engineering, Tsinghua University, Beijing, 100084, China;2. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin, 300072, China;3. Changjiang Survey, Planning, Design and Research Co., Ltd, Wuhan, 430010, China;1. Department of Water Resources Engineering, Chulalongkorn University, Bangkok, 10330, Thailand;2. WISE Research Unit, Chulalongkorn University, Bangkok, 10330, Thailand;3. Bureau of Water Management and Hydrology, Royal Irrigation Department, Bangkok, 10300, Thailand;1. Civil Engineering Department, Ferdowsi University of Mashhad, Iran;2. Civil Engineering Department, School of Engineering, Water and Environment Research Institute, Ferdowsi University of Mashhad, Iran |
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Abstract: | A two-dimensional vertical (2DV), Eulerian two-phase model or complete two-fluid model of the free surface flow was developed to simulate water-sediment flow in a local scour hole. In the model, the complete forms of the vertical, two-dimensional, two-fluid Navier-Stokes equations were discretized using a finite volume scheme. This discretization was done based on a standard staggered grid system using a curvilinear network system in compliance with the bed boundaries and water level. At the beginning of the computational cycle, the equations governing the fluid phase were solved based on the two-step projection method with a pressure-correction technique. In the first step, the intermediate fluid velocities were obtained by solving different phases of the momentum equations of the fluid phase using the time-splitting technique. In the second step, pressure was obtained and fluid velocities were updated. In this step a simple discretization method was applied for decreasing the computational complexity. After obtaining all the fluid phase variables at a new time step, the sediment phase momentum equations were solved using the time-splitting technique and sediment velocities were obtained. Then, at the end of the computational cycle, the sediment phase mass equation was solved and the concentrations of both phases were updated. At last, the capacity of the model for simulating of the longitudinal fluid velocity and sediment concentration in a local scour hole was evaluated. Numerical results were found to be in good agreement with experimental data. |
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Keywords: | Numerical modeling Complete two-fluid model Time-splitting pressure-correction projection method Local scour hole Sediment concentration Longitudinal fluid velocity |
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