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Water Hammer Simulation Using Explicit–Implicit Coupling Methods
Journal of Hydraulic Engineering, 2015AbstractThe method of characteristics (MOC) with the limitation of Courant’s stability condition is widely used in simulation of unsteady flow in a pipeline. However, the relatively complex method of implicit (MOI) provides the advantages of unconditional convergence and mutual independence between time and space mesh parameters.
Chao Wang, Jian-Dong Yang
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Water hammer simulation by implicit method of characteristic
International Journal of Pressure Vessels and Piping, 2008An Implicit Method of Characteristics is proposed in this paper to alleviate the shortcomings and limitations of the mostly used conventional Method of Characteristics (MOC). An element-wise definition is used for all the devices that may be used in a pipeline system and the corresponding equations are derived in an element-wise manner.
M.H. Afshar, M. Rohani
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Numerical Modelling of Water Hammer Using Differential Quadrature Method
AIP Conference Proceedings, 2007In this research, Incremental Differential Quadrature Method (IDQM) is applied for modelling of unsteady flow (water hammer) in pipeline systems. This is considered as the first application of differential quadrature in this area. The implementation of the IDQM to the governing equations along with some numerical studies are presented.
M. R. Hashemi +4 more
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Modeling water hammer in viscoelastic pipes using the wave characteristic method
Applied Mathematical Modelling, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hossam A.A. Abdel-Gawad +1 more
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Truncated Method of Characteristics for Quasi-Two-Dimensional Water Hammer Model
Journal of Hydraulic Engineering, 2014A new and efficient variant of the method of characteristics for solving the quasi-two- dimensional water hammer model is proposed. The method requires the fully implicit discretization scheme for radial velocity, to eliminate this velocity from the equations for axial velocity and piezometric head. As the radial velocity is typically outside the scope
Šavar, Mario +2 more
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Application of the shock response spectrum method to severity assessment of water hammer loads
, 2021Water hammer (WH) is a transient phenomenon which happens to appear in pipe flow systems as an effect of a sudden change in pipe flow conditions. Various origins can be the primary source of WH. They usually come from the liquid (e.g. operation of valves)
S. Henclik
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Efficient solution method for quasi two-dimensional model of water hammer
Journal of Hydraulic Research, 2014An existing solution method for the quasi two- dimensional model of transient flow in pipes has already been recognized as accurate, robust, and consistent with the physics. Its main disadvantage – numerical inefficiency, has recently been considerably reduced by introducing an improved solution procedure.
Korbar, Radoslav +2 more
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A finite-difference method to evaluate water hammer phenomena
Journal of Hydrology, 1981Abstract Although the method of characteristics has been preferred to evaluate water hammer effects, there are occasions where finite-difference procedures can be more suitable, for instance, when water column separation is expected. Trying to tackle such problems and based on some matrix properties, a simple method is developed in this paper which ...
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Revisiting frequency domain analysis method for water hammer effects on pipeline systems
Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2020This paper revisits frequency domain analysis method for water hammer study in a hydraulic system. Detailed investigation of the effect of the flow parameters is conducted. Weaknesses on previous research works were pointed out. A brief presentation of the frequency response function determined from motions equations of transient water flow is firstly ...
Lazhar Ayed, Zahreddine Hafsi
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Riemann solvers for water hammer simulations by Godunov method
International Journal for Numerical Methods in Engineering, 2000The water hammer phenomenon can be described by a 2×2 system of hyperbolic partial differential equations (PDEs). Numerical solution of these PDEs using finite-volume schemes is investigated herein. The underlying concept of the Godunov scheme is the Riemann problem, that must be solved to provide fluxes between the computational cells. The presence of
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