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عنوان فارسی مقاله:

جفت 1D-3D برای شبیه سازی سیستم های هیدرولیک گذرا


عنوان انگلیسی مقاله:

1D–3D coupling for hydraulic system transient simulations


سال انتشار : 2016



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مقدمه انگلیسی مقاله:

1. Introduction

Rapid regulations of the flow rate in hydraulic systems cause pressure pulsations, known as water hammer. High pressure can damage penstocks and sometimes lead to their rupture [1]. The pressure pulsations can be numerically resolved by 1D or 3D methods that take into account a finite sound propagation speed. The 1D methods are widely used for water hammer investigations, meeting the needs of engineering design with a high accuracy and efficiency. The method of characteristics (MOC) is the most popular 1D method for water hammer [2] for invariant crosssectional duct area, while implicit finite difference methods (FDM) can be applied for varying cross-sectional duct area [3]. The 1D methods are easily coupled with hydraulic elements in the system such as turbines, pumps, valves and surge tanks. However, the 1D methods are not suitable when it comes to complex phenomenon where there is a need to resolve flow details, such as two-phase interaction between the pressure pulsations and the free surfaceflow in tailrace tunnels, or rotor–stator interaction in hydraulic machinery. 3D methods, on the other hand, are capable of resolving the details of the flow in both time and space, and they can incorporate advanced methods for mesh motion, multiphase flow and turbulent flow. That is however at the cost of a much longer simulation time, which makes the simulation unfeasible for large systems. A coupled 1D–3D method is useful in cases where the behavior of a large system depends on the details of the flow in a small region, and vice versa. There are two key points for the coupling. The first point is the data transformation between the different dimensions. The 2D distribution at the boundary of the 3D region should be reduced to be used as a boundary condition in the 1D region, and the value at the boundary of the 1D region should be expanded to be used as a boundary condition in the 3D region. The second point is how those values are determined and applied. Several methods are available in the literature. Montenegro et al. [4,5] modeled the pressure fluctuation in a combustion engine and its exhaust system by a coupled 1D–3D method. They used the same FVM scheme in both 1D and 3D regions, and the interface flux was calculated by the HLLC approach [6]. Ruprecht and Helmrich [7] applied a 1D–3D method to model the flow in a hydro turbine draft tube. They explicitly exchanged the boundary conditions between the 1D and 3D regions, setting the 1D pressureof the last time step as a boundary condition for the 3D region and the 3D discharge as a boundary condition for the 1D region. Zhang and Cheng [8] presented a coupled 1D–3D model based on an overlapping duct and applied it to simulate the water level fluctuation in a surge tank. Wu et al. [9] coupled a 1D MOC code with the 3D Fluent CFD code and applied it to a pump system. The MOC code was given the pressure from the 3D region and obtained the discharge by the characteristic equation. An objective function was needed to ensure the iterative convergence at the coupling interface. Geometrical multiscale coupling models are widely used in hemodynamics simulations. Formaggia et al. [10] coupled a 3D fluid–structure model and a 1D reduced model based on sub-domain iterations. Formaggia et al. [11] and Quarteroni and Veneziani [12] presented a multiscale model by proving a local-in-time existence result based on a fixed-point technique. Blanco et al. [13,14] and Urquiza et al. [15] proposed monolithic and segregated coupling schemes for hemodynamics simulations, and they applied their coupling model to the entire arterial tree. Leiva et al. [16] used Gauss–Seidel iterations for the coupling and applied it to Satellite-like and Double helix geometrical structures. The present work describes a novel 1D–3D coupling method, based on the characteristic equations and Riemann invariants. The 1D MOC code is implemented as a set of boundary conditions in the OpenFOAM open source finite volume CFD software. Section 2 describes the 1D and 3D equations and the 1D–3D coupling method. Section 3 verifies the accuracy of the coupling method by simple water hammer cases, and the accuracy and robustness are investigated with respect to the mesh size ratio across the interface and the coupling interface location. In Section 4, the coupling method is applied to model the pressure surge caused by a closing and opening valve in a hydraulic system, and the results are compared with experimental data. A 1D solution of the same case is provided for comparison, based on the valve characteristics determined by separate 3D steady-state simulations.



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کلمات کلیدی:

Publication: 1D-3D coupling for hydraulic system transient simulations https://www.researchgate.net/.../309016033_1D-3D_coupling_for_hydraulic_system_tra... This work describes a coupling between the 1D method of characteristics (MOC) and the 3D finite volume method of computational fluid dynamics (CFD). [PDF]3D coupling for hydraulic system transient simulations iranarze.ir/wp-content/uploads/2016/12/E1000.pdf Oct 8, 2016 - 1D–3D coupling for hydraulic system transient simulations. Chao Wanga,b,∗, Håkan Nilssonc, Jiandong Yangb, Olivier Petitc a Power China ... Sparrho | 1D-3D coupling for hydraulic system transient simulations https://www.sparrho.com/item/1d-3d-coupling-for-hydraulic-system-transient.../9c7b49/ Oct 8, 2016 - This work describes a coupling between the 1D method of characteristics (MOC) and the 3D finite volume method of computational fluid ... [PDF]Simulation of Water Level Fluctuations in a Hydraulic System Using a ... www.mdpi.com/2073-4441/7/8/4446/pdf by C Wang - ‎2015 - ‎Cited by 2 - ‎Related articles Aug 13, 2015 - Simulation of Water Level Fluctuations in a Hydraulic System ... equations for one-dimensional transient flow for both liquid and gas phases, and the .... A model with coupled 1D liquid and gas pipeline flow is then proposed to. Francis-99: Transient CFD simulation of load changes and turbine ... iopscience.iop.org/article/10.1088/1742-6596/782/1/012001/meta by P Mössinger - ‎2017 All three transient operations are compared to PIV velocity measurements in the ... necessity to consider the hydraulic system dynamics upstream of the turbine by means of a 1D3D coupling between the 3D flow field and a 1D system model. 1D-3D coupling for hydraulic system transient simulations. | D2R ... dblp.l3s.de/d2r/resource/publications/journals/cphysics/WangNYP17 1D-3D coupling for hydraulic system transient simulations. Resource URI: http://dblp.l3s.de/d2r/resource/publications/journals/cphysics/WangNYP17. [DOC]Download - ISROMAC isromac-isimet.univ-lille1.fr/upload_dir/.../229.ISROMAC-229-R2-YangShuai.docx by S Yang - ‎Related articles Transient characteristic—Water hammer—Coupled simulation— pump system ... The MOC is a numerical solution of equations that govern unsteady fluid flow in ... Integrated Modeling and Hardware-in-the-loop Study for Systematic ... https://books.google.com/books?isbn=054950995X Young Jae Kim - 2008 Next, the coupling between the power generation sub-system and the (virtual) ... (AC Dynamometer), while the real system includes a hydraulic pump 5.1. ... the fast response dynamometer system especially suited for the transient engine test.